christopher/oeis · Datasets at Hugging Face

sequence_id stringlengths 7 7	sequence_name stringlengths 4 573	sequence sequencelengths 1 348	keywords sequencelengths 1 8	score int64 1 2.31k	offset_a int64 -14,827 666,262,453B	offset_b int64 0 635M ⌀	cross_references sequencelengths 1 128 ⌀	former_ids sequencelengths 1 3 ⌀	author stringlengths 7 231 ⌀	timestamp timestamp[us]date 1999-12-11 03:00:00 2025-04-28 00:58:08	filename stringlengths 29 29	hash stringlengths 32 32
A003901	Degrees of irreducible representations of group L5(2).	[ "1", "30", "124", "155", "217", "280", "315", "315", "315", "315", "315", "315", "465", "465", "465", "465", "496", "651", "651", "651", "868", "930", "930", "930", "960", "1024", "1240" ]	[ "nonn", "fini", "full" ]	10	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:08	oeisdata/seq/A003/A003901.seq	9a044b76cb890e537566c39c3b9b9564
A003902	Degrees of irreducible representations of Suzuki group Suz.	[ "1", "143", "364", "780", "1001", "3432", "5005", "5005", "5940", "10725", "12012", "14300", "15015", "15015", "15795", "18954", "25025", "25025", "25025", "40040", "50050", "50050", "54054", "64064", "64350", "64350", "66560", "75075", "79872", "88452", "93555", "93555", "100100", "133056", "146432", "163800", "189540", "193050", "197120", "208494", "243243", "248832" ]	[ "nonn", "fini", "full" ]	11	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:08	oeisdata/seq/A003/A003902.seq	c47d19091bb3be37abdea406f01442a5
A003903	Degrees of irreducible representations of Conway group Co1.	[ "1", "276", "299", "1771", "8855", "17250", "27300", "37674", "44275", "80730", "94875", "313950", "345345", "376740", "483000", "644644", "673750", "673750", "822250", "871884", "1434510", "1450449", "1771000", "1821600", "2055625", "2417415" ]	[ "nonn", "fini", "full" ]	16	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:08	oeisdata/seq/A003/A003903.seq	345ecd747195b8cf709d1f7690609fe4
A003904	Degrees of irreducible representations of Janko group J1.	[ "1", "56", "56", "76", "76", "77", "77", "77", "120", "120", "120", "133", "133", "133", "209" ]	[ "nonn", "fini", "full" ]	12	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:08	oeisdata/seq/A003/A003904.seq	8f10c15b3289aa4553b2b39710a7bbb8
A003905	Degrees of irreducible representations of Janko group J2.	[ "1", "14", "14", "21", "21", "36", "63", "70", "70", "90", "126", "160", "175", "189", "189", "224", "224", "225", "288", "300", "336" ]	[ "nonn", "fini", "full" ]	11	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003905.seq	2bdffb7ade85288b799575e390f0dd9d
A003906	Degrees of irreducible representations of Janko group J3.	[ "1", "85", "85", "323", "323", "324", "646", "646", "816", "1140", "1215", "1215", "1615", "1920", "1920", "1920", "1938", "1938", "2432", "2754", "3078" ]	[ "nonn", "fini", "full" ]	11	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003906.seq	c9b3d6130bc38d416ff241d9fcf8143e
A003907	Degrees of irreducible representations of Janko group J4.	[ "1", "1333", "1333", "299367", "299367", "887778", "887778", "889111", "1187145", "1187145", "1776888", "3403149", "3403149", "4290927", "32307363", "32307363", "32897107", "32897107", "35411145", "35411145", "95288172", "230279749" ]	[ "nonn", "fini", "full" ]	13	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003907.seq	a097290ababc2356fe77b068a77f19d1
A003908	Degrees of irreducible representations of Higman-Sims group HS.	[ "1", "22", "77", "154", "154", "154", "175", "231", "693", "770", "770", "770", "825", "896", "896", "1056", "1386", "1408", "1750", "1925", "1925", "2520", "2750", "3200" ]	[ "nonn", "fini", "full" ]	11	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003908.seq	7b63dbcdea71e5908f9b62ab749591b0
A003909	Degrees of irreducible representations of McLaughlin group McL.	[ "1", "22", "231", "252", "770", "770", "896", "896", "1750", "3520", "3520", "4500", "4752", "5103", "5544", "8019", "8019", "8250", "8250", "9625", "9856", "9856", "10395", "10395" ]	[ "nonn", "fini", "full" ]	11	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003909.seq	feb813a1e8bd5b438f173659356bb7fe
A003910	Degrees of irreducible representations of Conway group Co3.	[ "1", "23", "253", "253", "275", "896", "896", "1771", "2024", "3520", "3520", "4025", "5544", "7084", "8855", "9625", "9625", "20608", "20608", "23000", "26082", "31625", "31625", "31625", "31878", "40250", "57960", "63250", "73600", "80960", "91125", "93312" ]	[ "nonn", "fini", "full" ]	18	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003910.seq	5cbb1d8ac8ac4400ec470e50e47412fc
A003911	Degrees of irreducible representations of Conway group Co2.	[ "1", "23", "253", "275", "1771", "2024", "2277", "4025", "7084", "9625", "9625", "10395", "10395", "12650", "23000", "31625", "31625", "31878", "37422", "44275", "63250", "91125", "91125", "113850", "129536", "177100", "184437", "212520", "221375" ]	[ "nonn", "fini", "full" ]	16	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003911.seq	98eea80a5ad9c1292ffedd90c292db9b
A003912	Degrees of irreducible representations of Held group He.	[ "1", "51", "51", "153", "153", "680", "1029", "1029", "1275", "1275", "1275", "1920", "4080", "4352", "6272", "6528", "7497", "7497", "7650", "7650", "7650", "10880", "11475", "11475", "11900", "13720", "14400", "17493", "20825", "21504", "21504", "22050", "23324" ]	[ "nonn", "fini", "full" ]	14	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003912.seq	f45d9853eeb465d3bd37b494557480c2
A003913	Degrees of irreducible representations of Fischer group Fi22.	[ "1", "78", "429", "1001", "1430", "3003", "3080", "10725", "13650", "30030", "32032", "43680", "45045", "48048", "50050", "50050", "75075", "75075", "75075", "81081", "114400", "138600", "138600", "150150", "205920", "289575", "300300", "320320", "360855" ]	[ "nonn", "fini", "full" ]	16	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003913.seq	8bcd82b3c6793199dac2fce88e9ff82a
A003914	Degrees of irreducible representations of Fischer group Fi23.	[ "1", "782", "3588", "5083", "25806", "30888", "60996", "106743", "111826", "274482", "279565", "752675", "789360", "812889", "837200", "837200", "850850", "850850", "1677390", "1951872", "2236520", "2322540", "3913910", "5533110", "6709560" ]	[ "nonn", "fini", "full" ]	16	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003914.seq	8a8241a98dcc3581e07a8d541e693a50
A003915	Degrees of irreducible representations of Harada-Norton group HN.	[ "1", "133", "133", "760", "3344", "8778", "8778", "8910", "9405", "16929", "35112", "35112", "65835", "65835", "69255", "69255", "214016", "267520", "270864", "365750", "374528", "374528", "406296", "653125", "656250", "656250", "718200", "718200", "1053360" ]	[ "nonn", "fini", "full" ]	16	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003915.seq	e2034dd053e4dfea91d2a7354dc0081f
A003916	Degrees of irreducible representations of Thompson group Th.	[ "1", "248", "4123", "27000", "27000", "30628", "30875", "61256", "85995", "85995", "147250", "767637", "767637", "779247", "779247", "957125", "1707264", "1707264", "2450240", "2572752", "3376737", "4096000", "4096000", "4123000", "4881384", "4936750" ]	[ "nonn", "fini", "full" ]	15	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003916.seq	ad58998c3b271fe698d8ac6d0bbece4f
A003917	Degrees of irreducible representations of Lyons group Ly.	[ "1", "2480", "2480", "45694", "48174", "48174", "120064", "120064", "381766", "1152735", "1534500", "3028266", "3073960", "4226695", "4997664", "5379430", "10758860", "11834746", "16906780", "18395586", "18395586", "18395586", "19212250" ]	[ "nonn", "fini", "full" ]	16	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003917.seq	e972eca01b7000da2cab2c8a6dbf5cb7
A003918	Degrees of irreducible representations of Rudvalis group Ru.	[ "1", "378", "378", "406", "783", "3276", "3654", "20475", "21750", "23751", "27000", "27000", "27000", "27405", "34944", "34944", "43848", "43848", "43848", "45500", "52780", "63336", "65975", "71253", "75400", "76125", "81432", "91350", "95004", "98280", "98280", "102400", "105560", "110592", "110592", "118784" ]	[ "nonn", "fini", "full" ]	20	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003918.seq	80080474a0618d3ec7238ebac26f8111
A003919	Degrees of irreducible representations of O'Nan group ON.	[ "1", "10944", "13376", "13376", "25916", "25916", "26752", "32395", "32395", "37696", "52668", "58311", "58311", "58311", "58653", "64790", "64790", "85064", "116963", "143374", "169290", "169290", "175616", "175616", "175770", "207360", "207360", "207360", "234080", "234080" ]	[ "nonn", "fini", "full" ]	12	1	2	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003919.seq	923c4079421cc3f9c4654faea7343a87
A003920	Order of universal Chevalley group B_n (3).	[ "24", "51840", "9170703360", "131569513308979200", "152915585868239728626892800", "14395932257291877030764312963579904000", "109777561863482259035023554842176139436811616256000" ]	[ "nonn", "easy" ]	19	1	1	[ "A003920", "A071302" ]	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003920.seq	1e0bdaa985dcd979058ce9db5a123f70
A003921	Order of universal Chevalley group B_n (4).	[ "60", "979200", "4106059776000", "4408780839651901440000", "1211875293642881119668928512000000", "85278137430613949474674174708223909560320000000" ]	[ "nonn", "easy" ]	10	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003921.seq	a82a57000636acfe2ebb298ba57974f6
A003922	Order of universal Chevalley group B_n (5).	[ "120", "9360000", "457002000000000", "13946558535000000000000000", "266009466302345390625000000000000000000", "3171079936179764469273010253906250000000000000000000000" ]	[ "nonn", "easy" ]	10	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003922.seq	6c21fa2206b4950ba6eb4de69166dcaf
A003923	Order of universal Chevalley group B_n (2) or symplectic group Sp(2n,2).	[ "1", "6", "720", "1451520", "47377612800", "24815256521932800", "208114637736580743168000", "27930968965434591767112450048000", "59980383884075203672726385914533642240000" ]	[ "nonn", "easy", "nice" ]	28	0	2	[ "A003053", "A003920", "A003923" ]	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003923.seq	810aefad084d96cac1dbfcd54a68f0d0
A003924	Order of universal Chevalley group B_n (7).	[ "336", "276595200", "546914437209907200", "2596509480922336727312302080000", "29597339316082819652234687848790174733434880000", "810042101621990387485449491667484171676631766280916065845248000000" ]	[ "nonn", "easy" ]	13	0	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003924.seq	ceb9aa56b24514732473fb17ea734a2e
A003925	Order of universal Chevalley group B_n (8).	[ "504", "1056706560", "9077005607176765440", "319368723699461283992462111539200", "46025883638628966977843321053405598530493271244800", "27168886279544618607869530961362524544707830196725394137207827070976000" ]	[ "nonn", "easy" ]	13	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003925.seq	750fec382be895655552e7b808fa8d11
A003926	Order of universal Chevalley group B_n (9).	[ "720", "3443212800", "108051462804999168000", "22246837484597339860644476682240000", "30052178620241342579800569752518387643389968384000000", "266350599470999830406351699267844906476060443517288646066593731706880000000" ]	[ "nonn", "easy" ]	12	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003926.seq	37b3894bb824e6c7b4c741b54bfd7ee5
A003927	Order of simple Chevalley group B_n (3).	[ "25920", "4585351680", "65784756654489600", "76457792934119864313446400", "7197966128645938515382156481789952000", "54888780931741129517511777421088069718405808128000" ]	[ "nonn" ]	15	2	1	[ "A003920", "A003927" ]	null	N. J. A. Sloane	2023-10-24T05:54:17	oeisdata/seq/A003/A003927.seq	6f92535ecb65165f4f5317f5838443be
A003928	Order of simple Chevalley group B_n (5).	[ "60", "4680000", "228501000000000", "6973279267500000000000000", "133004733151172695312500000000000000000", "1585539968089882234636505126953125000000000000000000000" ]	[ "nonn" ]	13	1	1	null	null	N. J. A. Sloane	2023-10-24T05:54:36	oeisdata/seq/A003/A003928.seq	b153e2b998f54f7397d497a060f0aa24
A003929	Order of simple Chevalley group B_n (7).	[ "168", "138297600", "273457218604953600", "1298254740461168363656151040000", "14798669658041409826117343924395087366717440000", "405021050810995193742724745833742085838315883140458032922624000000" ]	[ "nonn" ]	14	1	1	null	null	N. J. A. Sloane	2023-10-24T05:55:26	oeisdata/seq/A003/A003929.seq	fbff004fde0807ca26659d1fedc67804
A003930	Order of simple Chevalley group B_n (9).	[ "360", "1721606400", "54025731402499584000", "11123418742298669930322238341120000", "15026089310120671289900284876259193821694984192000000", "133175299735499915203175849633922453238030221758644323033296865853440000000" ]	[ "nonn" ]	11	1	1	null	null	N. J. A. Sloane	2023-10-24T05:55:47	oeisdata/seq/A003/A003930.seq	f6dc1a524d1534c2f7f60c2f5db7dd01
A003931	Order of universal Chevalley group B_2(q), q = prime power.	[ "720", "51840", "979200", "9360000", "276595200", "1056706560", "3443212800", "25721308800", "137037962880", "1095199948800", "2008994088960", "6114035779200", "41348052472320", "95214600000000", "205608315669120", "420206392771200", "818774509363200", "1124799322521600", "4805069329111680", "13414669637644800" ]	[ "nonn", "easy" ]	20	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003931.seq	45cd0911cf1b53bdf0f958c2d80a93c6
A003932	Order of universal Chevalley group B_3(q), q = prime power.	[ "1451520", "9170703360", "4106059776000", "457002000000000", "546914437209907200", "9077005607176765440", "108051462804999168000", "7338585441586912128000", "245593958671812227742720", "19266960106724096212992000", "68852034247000426560552960", "712225595693024258315904000" ]	[ "nonn", "easy" ]	20	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003932.seq	30153ddc4d9f09b056b6171df1a1208a
A003933	Order of universal Chevalley group B_4(q), q = prime power.	[ "47377612800", "131569513308979200", "4408780839651901440000", "13946558535000000000000000", "2596509480922336727312302080000", "319368723699461283992462111539200", "22246837484597339860644476682240000" ]	[ "nonn", "easy" ]	14	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003933.seq	d24899d3649ab98a830b95082ebd431c
A003934	Order of universal Chevalley group B_5(q), q = prime power.	[ "24815256521932800", "152915585868239728626892800", "1211875293642881119668928512000000", "266009466302345390625000000000000000000", "29597339316082819652234687848790174733434880000", "46025883638628966977843321053405598530493271244800" ]	[ "nonn", "easy" ]	14	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003934.seq	6aa28a85ddef03f64f172c121f6a1da9
A003935	Order of universal Chevalley group B_6(q), q = prime power.	[ "208114637736580743168000", "14395932257291877030764312963579904000", "85278137430613949474674174708223909560320000000", "3171079936179764469273010253906250000000000000000000000" ]	[ "nonn", "easy" ]	14	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003935.seq	1fcf893709ac84bc542679fa7dff7707
A003936	Order of universal Chevalley group B_7(q), q = prime power.	[ "27930968965434591767112450048000", "109777561863482259035023554842176139436811616256000", "1536234346098532793158147848149455029037710018156586598400000000", "23626386639924457166562360847447514533996582031250000000000000000000000000" ]	[ "nonn", "easy" ]	17	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003936.seq	434033e322dc80b43199b1c8a0b22c9b
A003937	Order of universal Chevalley group B_8(q), q = prime power.	[ "59980383884075203672726385914533642240000", "67806677896800158816511248022114282163091244291914415200010240000", "7084630453281025440882493116981310890142026281589018852388680249504694272000000000" ]	[ "nonn", "easy" ]	21	1	1	[ "A000961", "A003920", "A003937" ]	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003937.seq	bf0b9e19adf174ed40e20d7120df9804
A003938	Order of (usually) simple Chevalley group B_2(q), q = prime power.	[ "720", "25920", "979200", "4680000", "138297600", "1056706560", "1721606400", "12860654400", "68518981440", "1095199948800", "1004497044480", "3057017889600", "20674026236160", "47607300000000", "102804157834560", "210103196385600" ]	[ "nonn", "easy" ]	14	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003938.seq	d19140d25f896176583b61c5238ad223
A003939	Order of simple Chevalley group B_3(q), q = prime power.	[ "1451520", "4585351680", "4106059776000", "228501000000000", "273457218604953600", "9077005607176765440", "54025731402499584000", "3669292720793456064000", "122796979335906113871360", "19266960106724096212992000" ]	[ "nonn", "easy" ]	14	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003939.seq	a471203da2573bc3159ec79a039d1517
A003940	Order of simple Chevalley group B_4(q), q = prime power.	[ "47377612800", "65784756654489600", "4408780839651901440000", "6973279267500000000000000", "1298254740461168363656151040000", "319368723699461283992462111539200" ]	[ "nonn", "easy" ]	14	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003940.seq	3c2793068b866ca09c6ca0bb77a02815
A003941	Order of simple Chevalley group B_5(q), q = prime power.	[ "24815256521932800", "76457792934119864313446400", "1211875293642881119668928512000000", "133004733151172695312500000000000000000", "14798669658041409826117343924395087366717440000", "46025883638628966977843321053405598530493271244800" ]	[ "nonn", "easy" ]	14	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003941.seq	94f0323dd160f97beab4884ac19618f5
A003942	Order of simple Chevalley group B_6(q), q = prime power.	[ "208114637736580743168000", "7197966128645938515382156481789952000", "85278137430613949474674174708223909560320000000", "1585539968089882234636505126953125000000000000000000000" ]	[ "nonn", "easy" ]	14	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003942.seq	273785b38782c67510cdb5db3f54585b
A003943	Order of simple Chevalley group B_7(q), q = prime power.	[ "27930968965434591767112450048000", "54888780931741129517511777421088069718405808128000", "1536234346098532793158147848149455029037710018156586598400000000", "11813193319962228583281180423723757266998291015625000000000000000000000000" ]	[ "nonn", "easy" ]	18	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003943.seq	7212d14bf258565ce8ea36397cf4928b
A003944	Order of simple Chevalley group B_8(q), q = prime power.	[ "59980383884075203672726385914533642240000", "33903338948400079408255624011057141081545622145957207600005120000", "7084630453281025440882493116981310890142026281589018852388680249504694272000000000" ]	[ "nonn", "easy" ]	17	1	1	null	null	N. J. A. Sloane	2024-06-14T22:31:09	oeisdata/seq/A003/A003944.seq	9febd6948061d9273540f2db8a12a158
A003945	Expansion of g.f. (1+x)/(1-2*x).	[ "1", "3", "6", "12", "24", "48", "96", "192", "384", "768", "1536", "3072", "6144", "12288", "24576", "49152", "98304", "196608", "393216", "786432", "1572864", "3145728", "6291456", "12582912", "25165824", "50331648", "100663296", "201326592", "402653184", "805306368", "1610612736", "3221225472", "6442450944", "12884901888" ]	[ "nonn", "easy" ]	130	0	2	[ "A001045", "A001787", "A003688", "A003945", "A003946", "A003947", "A003948", "A003949", "A003950", "A003951", "A003952", "A007283", "A040000", "A042950", "A161175", "A170732", "A170733", "A170734", "A170735", "A170736", "A170737", "A170738", "A170739", "A170740", "A170741", "A170742", "A170743", "A170744", "A170745", "A170746", "A170747", "A170748", "A170749", "A170750", "A170751", "A170752", "A170753", "A170754", "A170755", "A170756", "A170757", "A170758", "A170759", "A170760", "A170761", "A170762", "A170763", "A170764", "A170765", "A170766", "A170767", "A170768", "A170769" ]	null	N. J. A. Sloane	2024-06-01T11:56:28	oeisdata/seq/A003/A003945.seq	4145ad84acf291f2f01ab6db8b142c6a
A003946	Expansion of (1+x)/(1-3*x).	[ "1", "4", "12", "36", "108", "324", "972", "2916", "8748", "26244", "78732", "236196", "708588", "2125764", "6377292", "19131876", "57395628", "172186884", "516560652", "1549681956", "4649045868", "13947137604", "41841412812", "125524238436", "376572715308", "1129718145924" ]	[ "nonn", "easy", "nice", "walk" ]	174	0	2	[ "A003946", "A015448", "A029653", "A143865", "A265583" ]	null	N. J. A. Sloane	2025-02-16T08:32:27	oeisdata/seq/A003/A003946.seq	d26b78f990e29d1315c9c32e62774752
A003947	Expansion of (1+x)/(1-4*x).	[ "1", "5", "20", "80", "320", "1280", "5120", "20480", "81920", "327680", "1310720", "5242880", "20971520", "83886080", "335544320", "1342177280", "5368709120", "21474836480", "85899345920", "343597383680", "1374389534720", "5497558138880", "21990232555520", "87960930222080", "351843720888320" ]	[ "nonn", "easy" ]	73	0	2	[ "A003947", "A003948", "A003949", "A265583" ]	null	N. J. A. Sloane	2025-01-03T19:15:40	oeisdata/seq/A003/A003947.seq	bf118d622b98b4abcd8fb712c910472b
A003948	Expansion of (1+x)/(1-5*x).	[ "1", "6", "30", "150", "750", "3750", "18750", "93750", "468750", "2343750", "11718750", "58593750", "292968750", "1464843750", "7324218750", "36621093750", "183105468750", "915527343750", "4577636718750", "22888183593750", "114440917968750", "572204589843750", "2861022949218750", "14305114746093750" ]	[ "nonn", "easy", "nice", "walk" ]	109	0	2	[ "A003946", "A003947", "A003948", "A003949", "A003950", "A003952", "A003954", "A029653" ]	null	N. J. A. Sloane	2024-05-04T16:04:32	oeisdata/seq/A003/A003948.seq	0461f346e8c2a397f68d58f7b68eac24
A003949	Expansion of g.f. (1+x)/(1-6*x).	[ "1", "7", "42", "252", "1512", "9072", "54432", "326592", "1959552", "11757312", "70543872", "423263232", "2539579392", "15237476352", "91424858112", "548549148672", "3291294892032", "19747769352192", "118486616113152", "710919696678912", "4265518180073472", "25593109080440832", "153558654482644992" ]	[ "nonn", "easy" ]	64	0	2	[ "A003947", "A003948", "A003949", "A003950", "A003951" ]	null	N. J. A. Sloane	2024-01-01T18:27:36	oeisdata/seq/A003/A003949.seq	4bc6a5c138389dd6dee80ffb7e9ea817
A003950	Expansion of g.f.: (1+x)/(1-7*x).	[ "1", "8", "56", "392", "2744", "19208", "134456", "941192", "6588344", "46118408", "322828856", "2259801992", "15818613944", "110730297608", "775112083256", "5425784582792", "37980492079544", "265863444556808", "1861044111897656", "13027308783283592", "91191161482985144", "638338130380896008" ]	[ "nonn", "walk", "easy" ]	75	0	2	[ "A003948", "A003949", "A003950", "A003951" ]	null	N. J. A. Sloane	2022-09-08T08:44:32	oeisdata/seq/A003/A003950.seq	889df5becf9ac23b7f99ddd504d43eb7
A003951	Expansion of g.f.: (1+x)/(1-8*x).	[ "1", "9", "72", "576", "4608", "36864", "294912", "2359296", "18874368", "150994944", "1207959552", "9663676416", "77309411328", "618475290624", "4947802324992", "39582418599936", "316659348799488", "2533274790395904", "20266198323167232", "162129586585337856", "1297036692682702848" ]	[ "nonn", "easy" ]	59	0	2	[ "A003945", "A003951" ]	null	N. J. A. Sloane	2022-09-08T08:44:32	oeisdata/seq/A003/A003951.seq	32daa567a3b0598883bfb700efbd1af1
A003952	Expansion of g.f.: (1+x)/(1-9*x).	[ "1", "10", "90", "810", "7290", "65610", "590490", "5314410", "47829690", "430467210", "3874204890", "34867844010", "313810596090", "2824295364810", "25418658283290", "228767924549610", "2058911320946490", "18530201888518410", "166771816996665690", "1500946352969991210", "13508517176729920890" ]	[ "nonn", "easy" ]	79	0	2	[ "A003949", "A003950", "A003951", "A003952" ]	null	N. J. A. Sloane, Mar 15 1996	2022-09-08T08:44:32	oeisdata/seq/A003/A003952.seq	46efedcacc9ae01d6bd296a0822dc166
A003953	Expansion of g.f.: (1+x)/(1-10*x).	[ "1", "11", "110", "1100", "11000", "110000", "1100000", "11000000", "110000000", "1100000000", "11000000000", "110000000000", "1100000000000", "11000000000000", "110000000000000", "1100000000000000", "11000000000000000" ]	[ "nonn", "easy" ]	52	0	2	[ "A003945", "A003952", "A003953" ]	null	N. J. A. Sloane	2022-09-08T08:44:32	oeisdata/seq/A003/A003953.seq	22182041764844eb819d9289d2d9a3fa
A003954	Expansion of g.f.: (1+x)/(1-11*x).	[ "1", "12", "132", "1452", "15972", "175692", "1932612", "21258732", "233846052", "2572306572", "28295372292", "311249095212", "3423740047332", "37661140520652", "414272545727172", "4556998002998892", "50126978032987812", "551396758362865932", "6065364341991525252", "66719007761906777772", "733909085380974555492" ]	[ "nonn", "easy" ]	61	0	2	[ "A003946", "A003948", "A003950", "A003952", "A003953", "A003954", "A029653" ]	null	N. J. A. Sloane	2025-03-25T17:58:55	oeisdata/seq/A003/A003954.seq	886a85a6c31b67208d0de74f6cd79615
A003955	a(n) = (2n + 4) (135...(2*n+1))^2.	[ "4", "54", "1800", "110250", "10716300", "1512784350", "292183491600", "73958946311250", "23749039426612500", "9430743556307823750", "4537044990907363935000", "2600104866872495148416250", "1750070583471871734510937500", "1366930130733208386919792968750", "1226227455943070136959515612500000" ]	[ "nonn" ]	14	0	1	[ "A001818", "A003955" ]	null	N. J. A. Sloane, Joe Keane (jgk(AT)jgk.org)	2022-09-08T08:44:32	oeisdata/seq/A003/A003955.seq	26670f67b669051a3dd2fba54c7c413c
A003956	Order of complex Clifford group of degree 2^n arising in quantum coding theory.	[ "8", "192", "92160", "743178240", "97029351014400", "203286581427673497600", "6819500449352277792129024000", "3660967964237442812098963052691456000", "31446995505814020383166371418359014222725120000" ]	[ "nonn", "easy", "nice" ]	46	0	1	[ "A001309", "A003956", "A014115", "A014116", "A027638", "A027672" ]	null	N. J. A. Sloane, Peter Shor	2024-06-20T16:26:11	oeisdata/seq/A003/A003956.seq	f4554719147bf089453dfd83d2e8cf56
A003957	The Dottie number: decimal expansion of root of cos(x) = x.	[ "7", "3", "9", "0", "8", "5", "1", "3", "3", "2", "1", "5", "1", "6", "0", "6", "4", "1", "6", "5", "5", "3", "1", "2", "0", "8", "7", "6", "7", "3", "8", "7", "3", "4", "0", "4", "0", "1", "3", "4", "1", "1", "7", "5", "8", "9", "0", "0", "7", "5", "7", "4", "6", "4", "9", "6", "5", "6", "8", "0", "6", "3", "5", "7", "7", "3", "2", "8", "4", "6", "5", "4", "8", "8", "3", "5", "4", "7", "5", "9", "4", "5", "9", "9", "3", "7", "6", "1", "0", "6", "9", "3", "1", "7", "6", "6", "5", "3", "1", "8", "4", "9", "8", "0", "1", "2", "4", "6" ]	[ "nonn", "cons" ]	134	0	1	[ "A003957", "A009442", "A177413", "A182503", "A197002", "A200309", "A212112", "A212113", "A217066", "A330119" ]	null	Leonid Broukhis	2025-02-16T08:32:27	oeisdata/seq/A003/A003957.seq	97ef0fc96244499199413ad5c0e94c4d
A003958	If n = Product p(k)^e(k) then a(n) = Product (p(k)-1)^e(k).	[ "1", "1", "2", "1", "4", "2", "6", "1", "4", "4", "10", "2", "12", "6", "8", "1", "16", "4", "18", "4", "12", "10", "22", "2", "16", "12", "8", "6", "28", "8", "30", "1", "20", "16", "24", "4", "36", "18", "24", "4", "40", "12", "42", "10", "16", "22", "46", "2", "36", "16", "32", "12", "52", "8", "40", "6", "36", "28", "58", "8", "60", "30", "24", "1", "48", "20", "66", "16", "44", "24", "70", "4", "72", "36", "32", "18", "60", "24", "78", "4", "16" ]	[ "nonn", "mult", "nice" ]	73	1	3	[ "A003958", "A003959", "A006093", "A027746", "A027748", "A124010", "A168065", "A168066" ]	null	Marc LeBrun	2023-10-29T08:22:43	oeisdata/seq/A003/A003958.seq	d0639bde80b99a29b5a847dc3a080c48
A003959	If n = Product p(k)^e(k) then a(n) = Product (p(k)+1)^e(k), a(1) = 1.	[ "1", "3", "4", "9", "6", "12", "8", "27", "16", "18", "12", "36", "14", "24", "24", "81", "18", "48", "20", "54", "32", "36", "24", "108", "36", "42", "64", "72", "30", "72", "32", "243", "48", "54", "48", "144", "38", "60", "56", "162", "42", "96", "44", "108", "96", "72", "48", "324", "64", "108", "72", "126", "54", "192", "72", "216", "80", "90", "60", "216", "62", "96", "128", "729", "84", "144", "68" ]	[ "nonn", "easy", "nice", "mult" ]	71	1	2	[ "A003958", "A003959", "A027746", "A036987", "A061142", "A063441", "A064478", "A163407", "A165824", "A165825", "A165826", "A165827", "A165828", "A165829", "A165830", "A165831", "A166586", "A166590", "A166642", "A166643", "A166644", "A166645", "A166646", "A166647", "A166649", "A166650", "A167350", "A167351", "A168065", "A168066" ]	null	Marc LeBrun	2023-10-29T06:37:35	oeisdata/seq/A003/A003959.seq	b702b35435ca03fbd75be9a997e8fac3
A003960	Fully multiplicative with a(p) = [ (p+1)/2 ] for prime p.	[ "1", "1", "2", "1", "3", "2", "4", "1", "4", "3", "6", "2", "7", "4", "6", "1", "9", "4", "10", "3", "8", "6", "12", "2", "9", "7", "8", "4", "15", "6", "16", "1", "12", "9", "12", "4", "19", "10", "14", "3", "21", "8", "22", "6", "12", "12", "24", "2", "16", "9", "18", "7", "27", "8", "18", "4", "20", "15", "30", "6", "31", "16", "16", "1", "21", "12", "34", "9", "24", "12", "36", "4", "37", "19", "18", "10", "24", "14", "40", "3", "16", "21", "42", "8", "27" ]	[ "nonn", "easy", "mult" ]	20	1	3	[ "A003960", "A003970" ]	null	Marc LeBrun	2023-09-03T08:45:18	oeisdata/seq/A003/A003960.seq	2cf5b86b6f8b13ba2cc0025bf2c1c6c7
A003961	Completely multiplicative with a(prime(k)) = prime(k+1).	[ "1", "3", "5", "9", "7", "15", "11", "27", "25", "21", "13", "45", "17", "33", "35", "81", "19", "75", "23", "63", "55", "39", "29", "135", "49", "51", "125", "99", "31", "105", "37", "243", "65", "57", "77", "225", "41", "69", "85", "189", "43", "165", "47", "117", "175", "87", "53", "405", "121", "147", "95", "153", "59", "375", "91", "297", "115", "93", "61", "315", "67", "111", "275", "729", "119" ]	[ "nonn", "mult", "nice" ]	142	1	2	[ "A000040", "A000265", "A000720", "A001221", "A001222", "A002110", "A003961", "A003964", "A003972", "A003973", "A005408", "A005940", "A006519", "A027746", "A045965", "A046523", "A048673", "A049084", "A056239", "A064216", "A064988", "A064989", "A065338", "A066117", "A076610", "A091202", "A091203", "A108228", "A112798", "A122111", "A163511", "A191002", "A191555", "A206296", "A225546", "A242378", "A244319", "A245606", "A246259", "A246261", "A246263", "A246269", "A246271", "A246272", "A246278", "A246281", "A246282", "A249734", "A249735", "A250245", "A250246", "A250469", "A252738", "A252742", "A252748", "A255483", "A260443", "A265408", "A265750", "A269379", "A275717", "A275718", "A275733", "A275735", "A283980", "A286385", "A296150", "A297845", "A300841", "A302023", "A302024", "A302025", "A302026", "A305293", "A305421", "A306697", "A308503", "A318321", "A322361", "A322991", "A326042", "A329050", "A341529", "A357852", "A357853", "A357977", "A357978", "A357980", "A357983" ]	null	Marc LeBrun	2024-10-04T08:52:43	oeisdata/seq/A003/A003961.seq	4b678e37ecf88d5929d5cef35df5a49f
A003962	Completely multiplicative with a(prime(k)) = floor( (prime(k+1)+1)/2 ) for k-th prime prime(k).	[ "1", "2", "3", "4", "4", "6", "6", "8", "9", "8", "7", "12", "9", "12", "12", "16", "10", "18", "12", "16", "18", "14", "15", "24", "16", "18", "27", "24", "16", "24", "19", "32", "21", "20", "24", "36", "21", "24", "27", "32", "22", "36", "24", "28", "36", "30", "27", "48", "36", "32", "30", "36", "30", "54", "28", "48", "36", "32", "31", "48", "34", "38", "54", "64", "36", "42", "36", "40", "45", "48", "37", "72", "40", "42", "48", "48" ]	[ "nonn", "easy", "mult" ]	27	1	2	[ "A000040", "A000720", "A003962", "A151800" ]	null	Marc LeBrun	2023-08-31T06:26:41	oeisdata/seq/A003/A003962.seq	a24736d6c0a8f7e9b884db31c44a88b8
A003963	Fully multiplicative with a(p) = k if p is the k-th prime.	[ "1", "1", "2", "1", "3", "2", "4", "1", "4", "3", "5", "2", "6", "4", "6", "1", "7", "4", "8", "3", "8", "5", "9", "2", "9", "6", "8", "4", "10", "6", "11", "1", "10", "7", "12", "4", "12", "8", "12", "3", "13", "8", "14", "5", "12", "9", "15", "2", "16", "9", "14", "6", "16", "8", "15", "4", "16", "10", "17", "6", "18", "11", "16", "1", "18", "10", "19", "7", "18", "12", "20", "4", "21", "12", "18", "8", "20", "12", "22", "3", "16", "13", "23", "8", "21", "14", "20", "5" ]	[ "nonn", "nice", "easy", "mult" ]	81	1	3	[ "A000720", "A001221", "A001222", "A003963", "A027748", "A049084", "A056239", "A064553", "A112798", "A124010", "A156552", "A215366", "A227184", "A241909", "A243354", "A243499", "A243504" ]	null	Marc LeBrun	2022-11-18T03:38:52	oeisdata/seq/A003/A003963.seq	b1287531a458f487c2a8fb6514c9a0e8
A003964	Fully multiplicative with a(prime(k)) = partition(k+1).	[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "15", "14", "15", "16", "22", "18", "30", "20", "21", "22", "42", "24", "25", "30", "27", "28", "56", "30", "77", "32", "33", "44", "35", "36", "101", "60", "45", "40", "135", "42", "176", "44", "45", "84", "231", "48", "49", "50", "66", "60", "297", "54", "55", "56", "90", "112", "385", "60", "490", "154", "63", "64", "75", "66", "627", "88", "126", "70" ]	[ "nonn", "look", "mult" ]	34	1	2	[ "A000041", "A000720", "A003964", "A299200" ]	null	Marc LeBrun, N. J. A. Sloane	2023-09-19T01:44:14	oeisdata/seq/A003/A003964.seq	bea30186c017c9a78d5da198825ccba0
A003965	Fully multiplicative with a(prime(k)) = Fibonacci(k+2).	[ "1", "2", "3", "4", "5", "6", "8", "8", "9", "10", "13", "12", "21", "16", "15", "16", "34", "18", "55", "20", "24", "26", "89", "24", "25", "42", "27", "32", "144", "30", "233", "32", "39", "68", "40", "36", "377", "110", "63", "40", "610", "48", "987", "52", "45", "178", "1597", "48", "64", "50", "102", "84", "2584", "54", "65", "64", "165", "288", "4181", "60", "6765", "466", "72", "64", "105", "78", "10946" ]	[ "nonn", "mult" ]	28	1	2	[ "A000045", "A000720", "A003965", "A051037", "A337669" ]	null	Marc LeBrun, N. J. A. Sloane	2022-12-24T03:49:11	oeisdata/seq/A003/A003965.seq	18d23858e2541ea4f78e8b341ab2610f
A003966	Möbius transform of A003958.	[ "1", "0", "1", "0", "3", "0", "5", "0", "2", "0", "9", "0", "11", "0", "3", "0", "15", "0", "17", "0", "5", "0", "21", "0", "12", "0", "4", "0", "27", "0", "29", "0", "9", "0", "15", "0", "35", "0", "11", "0", "39", "0", "41", "0", "6", "0", "45", "0", "30", "0", "15", "0", "51", "0", "27", "0", "17", "0", "57", "0", "59", "0", "10", "0", "33", "0", "65", "0", "21", "0", "69", "0", "71", "0", "12", "0", "45", "0", "77", "0", "8", "0", "81", "0", "45", "0", "27", "0", "87", "0", "55", "0", "29", "0", "51", "0", "95", "0", "18" ]	[ "nonn", "mult" ]	41	1	5	[ "A003958", "A003966", "A276833" ]	null	Marc LeBrun	2023-02-11T08:20:15	oeisdata/seq/A003/A003966.seq	961c47ce3a46d9ac5fef8adbd9f75d98
A003967	Inverse Möbius transform of A003958.	[ "1", "2", "3", "3", "5", "6", "7", "4", "7", "10", "11", "9", "13", "14", "15", "5", "17", "14", "19", "15", "21", "22", "23", "12", "21", "26", "15", "21", "29", "30", "31", "6", "33", "34", "35", "21", "37", "38", "39", "20", "41", "42", "43", "33", "35", "46", "47", "15", "43", "42", "51", "39", "53", "30", "55", "28", "57", "58", "59", "45", "61", "62", "49", "7", "65", "66", "67", "51", "69", "70", "71", "28", "73" ]	[ "nonn", "mult" ]	22	1	2	[ "A003958", "A003967", "A341635" ]	null	Marc LeBrun	2022-02-11T17:49:04	oeisdata/seq/A003/A003967.seq	315b82a9155a0103c67b9156b731e060
A003968	Möbius transform of A003959.	[ "1", "2", "3", "6", "5", "6", "7", "18", "12", "10", "11", "18", "13", "14", "15", "54", "17", "24", "19", "30", "21", "22", "23", "54", "30", "26", "48", "42", "29", "30", "31", "162", "33", "34", "35", "72", "37", "38", "39", "90", "41", "42", "43", "66", "60", "46", "47", "162", "56", "60", "51", "78", "53", "96", "55", "126", "57", "58", "59", "90", "61", "62", "84", "486", "65", "66", "67", "102", "69" ]	[ "nonn", "mult" ]	30	1	2	[ "A003959", "A003968", "A005596", "A062953", "A104141" ]	null	Marc LeBrun	2022-10-23T02:54:32	oeisdata/seq/A003/A003968.seq	4291711c5e80e8981d0973cec5e0df0d
A003969	Inverse Möbius transform of A003959.	[ "1", "4", "5", "13", "7", "20", "9", "40", "21", "28", "13", "65", "15", "36", "35", "121", "19", "84", "21", "91", "45", "52", "25", "200", "43", "60", "85", "117", "31", "140", "33", "364", "65", "76", "63", "273", "39", "84", "75", "280", "43", "180", "45", "169", "147", "100", "49", "605", "73", "172", "95", "195", "55", "340", "91", "360", "105", "124", "61", "455", "63", "132", "189" ]	[ "nonn", "mult" ]	19	1	2	[ "A003959", "A003969", "A005596", "A072691" ]	null	Marc LeBrun	2022-10-23T02:54:14	oeisdata/seq/A003/A003969.seq	fa57f1d9f8da36724aa6e7171daf1580
A003970	Möbius transform of A003960 (with alternating zeros omitted).	[ "1", "1", "2", "3", "2", "5", "6", "2", "8", "9", "3", "11", "6", "4", "14", "15", "5", "6", "18", "6", "20", "21", "4", "23", "12", "8", "26", "10", "9", "29", "30", "6", "12", "33", "11", "35", "36", "6", "15", "39", "8", "41", "16", "14", "44", "18", "15", "18", "48", "10", "50", "51", "6", "53", "54", "18", "56", "22", "12", "24", "30", "20", "18", "63", "21", "65", "27", "8", "68", "69", "23", "30", "28", "12", "74", "75" ]	[ "nonn", "easy", "mult" ]	28	1	3	[ "A003960", "A003970" ]	null	Marc LeBrun	2023-11-03T11:21:35	oeisdata/seq/A003/A003970.seq	d93dc0b7b172045d673f997d557cca41
A003971	Inverse Möbius transform of A003960.	[ "1", "2", "3", "3", "4", "6", "5", "4", "7", "8", "7", "9", "8", "10", "12", "5", "10", "14", "11", "12", "15", "14", "13", "12", "13", "16", "15", "15", "16", "24", "17", "6", "21", "20", "20", "21", "20", "22", "24", "16", "22", "30", "23", "21", "28", "26", "25", "15", "21", "26", "30", "24", "28", "30", "28", "20", "33", "32", "31", "36", "32", "34", "35", "7", "32", "42", "35", "30", "39", "40", "37", "28", "38", "40" ]	[ "nonn", "easy", "mult" ]	25	1	2	[ "A003960", "A003971" ]	null	Marc LeBrun	2022-12-06T07:56:39	oeisdata/seq/A003/A003971.seq	1bcc730edd9e6549871493080d2f4376
A003972	Moebius transform of A003961; a(n) = phi(A003961(n)), where A003961 shifts the prime factorization of n one step towards the larger primes.	[ "1", "2", "4", "6", "6", "8", "10", "18", "20", "12", "12", "24", "16", "20", "24", "54", "18", "40", "22", "36", "40", "24", "28", "72", "42", "32", "100", "60", "30", "48", "36", "162", "48", "36", "60", "120", "40", "44", "64", "108", "42", "80", "46", "72", "120", "56", "52", "216", "110", "84", "72", "96", "58", "200", "72", "180", "88", "60", "60", "144", "66", "72", "200", "486", "96", "96", "70" ]	[ "nonn", "mult", "changed" ]	42	1	2	[ "A000010", "A003961", "A003972", "A003973", "A037225", "A048673", "A108228" ]	null	Marc LeBrun	2025-04-15T08:27:15	oeisdata/seq/A003/A003972.seq	1256df20a4d9ab6f79ea3f86a1613ee4
A003973	Inverse Möbius transform of A003961; a(n) = sigma(A003961(n)), where A003961 shifts the prime factorization of n one step towards the larger primes.	[ "1", "4", "6", "13", "8", "24", "12", "40", "31", "32", "14", "78", "18", "48", "48", "121", "20", "124", "24", "104", "72", "56", "30", "240", "57", "72", "156", "156", "32", "192", "38", "364", "84", "80", "96", "403", "42", "96", "108", "320", "44", "288", "48", "182", "248", "120", "54", "726", "133", "228", "120", "234", "60", "624", "112", "480", "144", "128", "62", "624", "68" ]	[ "nonn", "easy", "mult" ]	60	1	2	[ "A000203", "A000290", "A003961", "A003972", "A003973", "A007814", "A008438", "A048673", "A108228", "A151800", "A295664", "A326042", "A336838", "A336840", "A336841", "A336844", "A336846", "A336847", "A336848", "A336849", "A336850", "A336851", "A336852", "A336856", "A336931", "A336932" ]	null	Marc LeBrun	2022-12-08T07:36:26	oeisdata/seq/A003/A003973.seq	cb7f7ed1b0fb6ec6e14584f340891a7c
A003974	Möbius transform of A003962.	[ "1", "1", "2", "2", "3", "2", "5", "4", "6", "3", "6", "4", "8", "5", "6", "8", "9", "6", "11", "6", "10", "6", "14", "8", "12", "8", "18", "10", "15", "6", "18", "16", "12", "9", "15", "12", "20", "11", "16", "12", "21", "10", "23", "12", "18", "14", "26", "16", "30", "12", "18", "16", "29", "18", "18", "20", "22", "15", "30", "12", "33", "18", "30", "32", "24", "12", "35", "18", "28", "15", "36", "24", "39", "20", "24", "22", "30" ]	[ "nonn", "easy", "mult" ]	17	1	3	[ "A003962", "A003974", "A003975", "A151800" ]	null	Marc LeBrun	2023-09-04T01:59:25	oeisdata/seq/A003/A003974.seq	f17b1a642a47963a8e874117491d76d3
A003975	Inverse Möbius transform of A003962.	[ "1", "3", "4", "7", "5", "12", "7", "15", "13", "15", "8", "28", "10", "21", "20", "31", "11", "39", "13", "35", "28", "24", "16", "60", "21", "30", "40", "49", "17", "60", "20", "63", "32", "33", "35", "91", "22", "39", "40", "75", "23", "84", "25", "56", "65", "48", "28", "124", "43", "63", "44", "70", "31", "120", "40", "105", "52", "51", "32", "140", "35", "60", "91", "127", "50", "96", "37", "77", "64" ]	[ "nonn", "easy", "mult" ]	33	1	2	[ "A003962", "A003975", "A151800" ]	null	Marc LeBrun	2023-09-04T01:59:06	oeisdata/seq/A003/A003975.seq	7da69b2bd5f000c9da3c4d70612168b8
A003976	Möbius transform of A003963 (with alternate 0's omitted).	[ "1", "1", "2", "3", "2", "4", "5", "2", "6", "7", "3", "8", "6", "4", "9", "10", "4", "6", "11", "5", "12", "13", "4", "14", "12", "6", "15", "8", "7", "16", "17", "6", "10", "18", "8", "19", "20", "6", "12", "21", "8", "22", "12", "9", "23", "15", "10", "14", "24", "8", "25", "26", "6", "27", "28", "11", "29", "16", "10", "18", "20", "12", "18", "30", "13", "31", "21", "8", "32", "33", "14", "20", "18", "12", "34", "35", "12", "20" ]	[ "nonn", "easy", "mult" ]	25	1	3	[ "A000720", "A003963", "A003976" ]	null	Marc LeBrun	2023-09-04T01:59:42	oeisdata/seq/A003/A003976.seq	b5b843f64a190a25b9b6af53c6e9fea2
A003977	Inverse Möbius transform of A003963.	[ "1", "2", "3", "3", "4", "6", "5", "4", "7", "8", "6", "9", "7", "10", "12", "5", "8", "14", "9", "12", "15", "12", "10", "12", "13", "14", "15", "15", "11", "24", "12", "6", "18", "16", "20", "21", "13", "18", "21", "16", "14", "30", "15", "18", "28", "20", "16", "15", "21", "26", "24", "21", "17", "30", "24", "20", "27", "22", "18", "36", "19", "24", "35", "7", "28", "36", "20", "24", "30", "40", "21", "28", "22", "26" ]	[ "nonn", "easy", "mult" ]	17	1	2	[ "A000720", "A003963", "A003977" ]	null	Marc LeBrun	2023-09-04T01:59:54	oeisdata/seq/A003/A003977.seq	a7d1f358bacd1386d16c561edc85fb99
A003978	Möbius transform of A003964.	[ "1", "1", "2", "2", "4", "2", "6", "4", "6", "4", "10", "4", "14", "6", "8", "8", "21", "6", "29", "8", "12", "10", "41", "8", "20", "14", "18", "12", "55", "8", "76", "16", "20", "21", "24", "12", "100", "29", "28", "16", "134", "12", "175", "20", "24", "41", "230", "16", "42", "20", "42", "28", "296", "18", "40", "24", "58", "55", "384", "16", "489", "76", "36", "32", "56", "20", "626", "42", "82", "24", "791", "24" ]	[ "nonn", "easy", "mult" ]	17	1	3	[ "A000041", "A000720", "A003964", "A003978", "A003979" ]	null	Marc LeBrun	2023-09-04T02:01:25	oeisdata/seq/A003/A003978.seq	819ca1de390e2d2b1559e6882ef78ff4
A003979	Inverse Möbius transform of A003964.	[ "1", "3", "4", "7", "6", "12", "8", "15", "13", "18", "12", "28", "16", "24", "24", "31", "23", "39", "31", "42", "32", "36", "43", "60", "31", "48", "40", "56", "57", "72", "78", "63", "48", "69", "48", "91", "102", "93", "64", "90", "136", "96", "177", "84", "78", "129", "232", "124", "57", "93", "92", "112", "298", "120", "72", "120", "124", "171", "386", "168", "491", "234", "104", "127" ]	[ "nonn", "easy", "mult" ]	20	1	2	[ "A000041", "A000720", "A003964", "A003978", "A003979" ]	null	Marc LeBrun	2023-09-04T02:01:39	oeisdata/seq/A003/A003979.seq	f463333a4eaa461ca9bcc35a638c4544
A003980	Möbius transform of A003965.	[ "1", "1", "2", "2", "4", "2", "7", "4", "6", "4", "12", "4", "20", "7", "8", "8", "33", "6", "54", "8", "14", "12", "88", "8", "20", "20", "18", "14", "143", "8", "232", "16", "24", "33", "28", "12", "376", "54", "40", "16", "609", "14", "986", "24", "24", "88", "1596", "16", "56", "20", "66", "40", "2583", "18", "48", "28", "108", "143", "4180", "16", "6764", "232", "42", "32", "80", "24", "10945", "66" ]	[ "nonn", "easy", "mult" ]	25	1	3	[ "A000045", "A000720", "A003965", "A003980" ]	null	Marc LeBrun	2023-09-14T02:30:46	oeisdata/seq/A003/A003980.seq	092e354dcba817578a1f23f5770ca28c
A003981	Inverse Möbius transform of A003965.	[ "1", "3", "4", "7", "6", "12", "9", "15", "13", "18", "14", "28", "22", "27", "24", "31", "35", "39", "56", "42", "36", "42", "90", "60", "31", "66", "40", "63", "145", "72", "234", "63", "56", "105", "54", "91", "378", "168", "88", "90", "611", "108", "988", "98", "78", "270", "1598", "124", "73", "93", "140", "154", "2585", "120", "84", "135", "224", "435", "4182", "168", "6766", "702" ]	[ "nonn", "easy", "mult" ]	18	1	2	[ "A000045", "A000720", "A003965", "A003981" ]	null	Marc LeBrun	2023-09-04T02:01:53	oeisdata/seq/A003/A003981.seq	40ca56bbfc08a66778e85aee6f73cf70
A003982	Table read by rows: 1 if x = y, 0 otherwise, where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),...	[ "1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]	[ "tabl", "nonn", "nice", "easy" ]	39	0	1	[ "A000012", "A001844", "A003982", "A286100" ]	null	Marc LeBrun	2022-01-29T02:09:24	oeisdata/seq/A003/A003982.seq	021f19fa662d0466b8ccf17d650e0247
A003983	Array read by antidiagonals with T(n,k) = min(n,k).	[ "1", "1", "1", "1", "2", "1", "1", "2", "2", "1", "1", "2", "3", "2", "1", "1", "2", "3", "3", "2", "1", "1", "2", "3", "4", "3", "2", "1", "1", "2", "3", "4", "4", "3", "2", "1", "1", "2", "3", "4", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "6", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "6", "6", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "6", "7", "6", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "6", "7", "7", "6", "5", "4", "3", "2", "1" ]	[ "tabl", "nonn", "easy", "nice" ]	54	1	5	[ "A001399", "A002620", "A003983", "A004197", "A006752", "A087062", "A115236", "A115237", "A120268", "A124258", "A173945", "A173947", "A173948", "A173949", "A173953", "A173954", "A173955", "A173973", "A173982", "A173986" ]	null	Marc LeBrun	2022-01-29T09:12:19	oeisdata/seq/A003/A003983.seq	1ee51228d612676e443f8812433cce41
A003984	Table of max(x,y), where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),...	[ "0", "1", "1", "2", "1", "2", "3", "2", "2", "3", "4", "3", "2", "3", "4", "5", "4", "3", "3", "4", "5", "6", "5", "4", "3", "4", "5", "6", "7", "6", "5", "4", "4", "5", "6", "7", "8", "7", "6", "5", "4", "5", "6", "7", "8", "9", "8", "7", "6", "5", "5", "6", "7", "8", "9", "10", "9", "8", "7", "6", "5", "6", "7", "8", "9", "10", "11", "10", "9", "8", "7", "6", "6", "7", "8", "9", "10", "11", "12", "11", "10", "9", "8", "7", "6", "7", "8", "9", "10", "11", "12", "13", "12", "11", "10", "9", "8", "7", "7", "8" ]	[ "tabl", "nonn" ]	19	0	4	[ "A001859", "A003056", "A003984", "A004197", "A051125" ]	null	Marc LeBrun	2022-02-22T00:07:51	oeisdata/seq/A003/A003984.seq	0e473462b7c8216f66b8e2a97c6cf7f8
A003985	Triangle with subscripts (1,1),(2,1),(1,2),(3,1),(2,2),(1,3), etc. in which entry (i,j) is i AND j.	[ "1", "0", "0", "1", "2", "1", "0", "2", "2", "0", "1", "0", "3", "0", "1", "0", "0", "0", "0", "0", "0", "1", "2", "1", "4", "1", "2", "1", "0", "2", "2", "4", "4", "2", "2", "0", "1", "0", "3", "4", "5", "4", "3", "0", "1", "0", "0", "0", "4", "4", "4", "4", "0", "0", "0", "1", "2", "1", "0", "5", "6", "5", "0", "1", "2", "1", "0", "2", "2", "0", "0", "6", "6", "0", "0", "2", "2", "0", "1", "0", "3", "0", "1", "0", "7", "0", "1", "0", "3", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]	[ "tabl", "nonn", "easy" ]	9	1	5	[ "A003985", "A006581" ]	null	Marc LeBrun	2012-03-30T17:38:09	oeisdata/seq/A003/A003985.seq	9f83c8aa786c6098968a2e61fd26c40c
A003986	Table T(n,k) = n OR k read by antidiagonals.	[ "0", "1", "1", "2", "1", "2", "3", "3", "3", "3", "4", "3", "2", "3", "4", "5", "5", "3", "3", "5", "5", "6", "5", "6", "3", "6", "5", "6", "7", "7", "7", "7", "7", "7", "7", "7", "8", "7", "6", "7", "4", "7", "6", "7", "8", "9", "9", "7", "7", "5", "5", "7", "7", "9", "9", "10", "9", "10", "7", "6", "5", "6", "7", "10", "9", "10", "11", "11", "11", "11", "7", "7", "7", "7", "11", "11", "11", "11", "12", "11", "10", "11", "12", "7", "6", "7", "12", "11", "10", "11", "12", "13", "13", "11" ]	[ "tabl", "nonn", "look" ]	38	0	4	[ "A003986", "A003987", "A004198", "A006583", "A075173", "A075175" ]	null	Marc LeBrun	2023-01-17T09:58:05	oeisdata/seq/A003/A003986.seq	45d447593c264977c8213691de5d1859
A003987	Table of n XOR m (or Nim-sum of n and m) read by antidiagonals with m>=0, n>=0.	[ "0", "1", "1", "2", "0", "2", "3", "3", "3", "3", "4", "2", "0", "2", "4", "5", "5", "1", "1", "5", "5", "6", "4", "6", "0", "6", "4", "6", "7", "7", "7", "7", "7", "7", "7", "7", "8", "6", "4", "6", "0", "6", "4", "6", "8", "9", "9", "5", "5", "1", "1", "5", "5", "9", "9", "10", "8", "10", "4", "2", "0", "2", "4", "10", "8", "10", "11", "11", "11", "11", "3", "3", "3", "3", "11", "11", "11", "11", "12", "10", "8", "10", "12", "2", "0", "2", "12", "10", "8", "10", "12", "13", "13", "9", "9", "13", "13", "1", "1", "13", "13", "9", "9", "13", "13" ]	[ "tabl", "nonn", "nice", "look" ]	89	0	4	[ "A001477", "A003986", "A003987", "A004198", "A004442", "A004443", "A004444", "A006582", "A051775", "A051776", "A221146" ]	null	Marc LeBrun	2025-03-17T11:35:01	oeisdata/seq/A003/A003987.seq	efde253b9ecda1c74f6cfbf88095fefd
A003988	Triangle with subscripts (1,1),(2,1),(1,2),(3,1),(2,2),(1,3), etc. in which entry (i,j) is [ i/j ].	[ "1", "2", "0", "3", "1", "0", "4", "1", "0", "0", "5", "2", "1", "0", "0", "6", "2", "1", "0", "0", "0", "7", "3", "1", "1", "0", "0", "0", "8", "3", "2", "1", "0", "0", "0", "0", "9", "4", "2", "1", "1", "0", "0", "0", "0", "10", "4", "2", "1", "1", "0", "0", "0", "0", "0", "11", "5", "3", "2", "1", "1", "0", "0", "0", "0", "0", "12", "5", "3", "2", "1", "1", "0", "0", "0", "0", "0", "0", "13", "6", "3", "2", "1", "1", "1", "0", "0", "0", "0", "0", "0", "14", "6", "4", "2", "2", "1", "1", "0", "0", "0", "0" ]	[ "tabl", "nonn", "easy", "nice" ]	32	1	2	[ "A002541", "A003056", "A003988", "A003991", "A004247", "A006218", "A010766", "A049581", "A077049" ]	null	Marc LeBrun	2023-02-01T12:27:41	oeisdata/seq/A003/A003988.seq	8383da3a234caf6596b1d21e149c6868
A003989	Triangle T from the array A(x, y) = gcd(x,y), for x >= 1, y >= 1, read by antidiagonals.	[ "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "1", "2", "3", "2", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "4", "1", "2", "1", "1", "1", "3", "1", "1", "3", "1", "1", "1", "2", "1", "2", "5", "2", "1", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "3", "4", "1", "6", "1", "4", "3", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "2", "1", "2", "7", "2", "1", "2", "1", "2", "1", "1", "1", "3", "1", "5", "3", "1", "1", "3", "5", "1", "3", "1", "1", "1", "2", "1" ]	[ "tabl", "nonn", "easy", "nice", "mult" ]	139	1	5	[ "A001088", "A003989", "A003990", "A003991", "A004198", "A006579", "A050873", "A051731", "A054431", "A054522", "A075173", "A075174", "A075175", "A075176", "A089128", "A091255", "A109004", "A109007", "A109008", "A109009", "A109010", "A109011", "A109012", "A109013", "A109014", "A109015" ]	null	Marc LeBrun	2024-11-12T02:41:42	oeisdata/seq/A003/A003989.seq	384f57f17facf2f24d9db05c15711049
A003990	Table of lcm(x,y), read along antidiagonals.	[ "1", "2", "2", "3", "2", "3", "4", "6", "6", "4", "5", "4", "3", "4", "5", "6", "10", "12", "12", "10", "6", "7", "6", "15", "4", "15", "6", "7", "8", "14", "6", "20", "20", "6", "14", "8", "9", "8", "21", "12", "5", "12", "21", "8", "9", "10", "18", "24", "28", "30", "30", "28", "24", "18", "10", "11", "10", "9", "8", "35", "6", "35", "8", "9", "10", "11", "12", "22", "30", "36", "40", "42", "42", "40", "36", "30", "22", "12", "13", "12", "33", "20", "45", "24" ]	[ "tabl", "nonn", "easy", "nice", "look" ]	34	1	2	[ "A002260", "A003986", "A003989", "A003990", "A003991", "A006580", "A051173", "A075173", "A075174", "A075175", "A075176" ]	null	Marc LeBrun	2018-04-01T18:10:19	oeisdata/seq/A003/A003990.seq	400b291a9e7b12196cb39644a3a85094
A003991	Multiplication table read by antidiagonals: T(i,j) = i*j, i>=1, j>=1.	[ "1", "2", "2", "3", "4", "3", "4", "6", "6", "4", "5", "8", "9", "8", "5", "6", "10", "12", "12", "10", "6", "7", "12", "15", "16", "15", "12", "7", "8", "14", "18", "20", "20", "18", "14", "8", "9", "16", "21", "24", "25", "24", "21", "16", "9", "10", "18", "24", "28", "30", "30", "28", "24", "18", "10", "11", "20", "27", "32", "35", "36", "35", "32", "27", "20", "11", "12", "22", "30", "36", "40", "42", "42", "40", "36", "30", "22", "12" ]	[ "tabl", "nonn", "nice", "easy", "look" ]	184	1	2	[ "A000290", "A000292", "A000442", "A002260", "A002620", "A003056", "A003989", "A003990", "A003991", "A004247", "A027424", "A033638", "A049581", "A051776", "A059895", "A059896", "A059897", "A067138", "A091257", "A325821", "A331590", "A341520", "A350066" ]	null	Marc LeBrun	2024-07-03T14:33:45	oeisdata/seq/A003/A003991.seq	aa9c878131b4b471586913606ffae2a1
A003992	Square array read by upwards antidiagonals: T(n,k) = n^k for n >= 0, k >= 0.	[ "1", "1", "0", "1", "1", "0", "1", "2", "1", "0", "1", "3", "4", "1", "0", "1", "4", "9", "8", "1", "0", "1", "5", "16", "27", "16", "1", "0", "1", "6", "25", "64", "81", "32", "1", "0", "1", "7", "36", "125", "256", "243", "64", "1", "0", "1", "8", "49", "216", "625", "1024", "729", "128", "1", "0", "1", "9", "64", "343", "1296", "3125", "4096", "2187", "256", "1", "0", "1", "10", "81", "512", "2401", "7776", "15625", "16384", "6561", "512", "1", "0" ]	[ "easy", "nice", "nonn", "tabl" ]	50	0	8	[ "A000007", "A000012", "A000079", "A000169", "A000244", "A000272", "A000290", "A000302", "A000312", "A000351", "A000400", "A000420", "A000578", "A000583", "A000584", "A001014", "A001015", "A001016", "A001017", "A001018", "A001019", "A001020", "A001021", "A001022", "A001023", "A001024", "A001025", "A001026", "A001027", "A001029", "A001477", "A003992", "A004248", "A007778", "A008454", "A008455", "A008456", "A008788", "A009964", "A009992", "A009999", "A010801", "A010813", "A011557", "A026898", "A051128", "A087752", "A089081", "A095884", "A099555", "A277504", "A293500" ]	null	Marc LeBrun	2022-09-08T08:44:32	oeisdata/seq/A003/A003992.seq	119f8be32a31af9b841b6b79d4f50f5f
A003993	Sequence b_3 (n) arising from homology of partitions with even number of blocks.	[ "2", "12", "46", "152", "474", "1444", "4358", "13104", "39346", "118076", "354270", "1062856", "3188618", "9565908", "28697782", "86093408", "258280290", "774840940", "2324522894", "6973568760", "20920706362", "62762119172", "188286357606", "564859072912", "1694577218834", "5083731656604", "15251194969918" ]	[ "nonn", "easy" ]	22	2	1	[ "A003993", "A003994" ]	null	Sheila Sundaram (sheila(AT)paris-gw.cs.miami.edu)	2024-08-05T14:02:38	oeisdata/seq/A003/A003993.seq	6fea77b2c4835866fae0d7ed7b4fcca9
A003994	Sequence b_4 (n) arising from homology of partitions with even number of blocks.	[ "6", "138", "1452", "11444", "78642", "502846", "3089624", "18559208", "110049502", "647720562", "3796113284", "22194147996", "129581349642", "755982695718", "4408534120368", "25702339082192", "149828229039030", "873339353640538", "5090437245730652" ]	[ "nonn" ]	29	3	1	[ "A003993", "A003994" ]	null	Sheila Sundaram (sheila(AT)paris-gw.cs.miami.edu)	2024-08-05T14:01:40	oeisdata/seq/A003/A003994.seq	cda5dcd3e90f67f6f31d145f4d2dfeca
A003995	Sum of (any number of) distinct squares: of form r^2 + s^2 + t^2 + ... with 0 <= r < s < t < ...	[ "0", "1", "4", "5", "9", "10", "13", "14", "16", "17", "20", "21", "25", "26", "29", "30", "34", "35", "36", "37", "38", "39", "40", "41", "42", "45", "46", "49", "50", "51", "52", "53", "54", "55", "56", "57", "58", "59", "61", "62", "63", "64", "65", "66", "68", "69", "70", "71", "73", "74", "75", "77", "78", "79", "80", "81", "82", "83", "84", "85", "86", "87", "88", "89", "90", "91", "93", "94", "95", "97" ]	[ "nonn", "easy", "nice" ]	39	1	3	[ "A000290", "A001422", "A001983", "A003995", "A004431", "A004432", "A004433", "A004434", "A008935", "A033461", "A224981", "A224982", "A224983" ]	null	N. J. A. Sloane	2025-01-14T23:08:53	oeisdata/seq/A003/A003995.seq	e47e0cd1e0b55969a2eeab2c613a5d7b
A003996	Sums of distinct nonzero squares in more than one way.	[ "25", "26", "29", "30", "41", "45", "46", "49", "50", "53", "54", "61", "62", "65", "66", "69", "70", "74", "75", "77", "78", "79", "81", "82", "84", "85", "86", "87", "89", "90", "91", "93", "94", "95", "98", "99", "100", "101", "102", "103", "104", "105", "106", "107", "109", "110", "111", "113", "114", "115", "116", "117", "118", "119", "120", "121", "122", "123" ]	[ "nonn" ]	24	1	1	[ "A003995", "A003996", "A033461" ]	null	N. J. A. Sloane	2023-10-24T06:12:54	oeisdata/seq/A003/A003996.seq	7f853b641a3aeee44005455f818008cb
A003997	Sums of distinct positive cubes.	[ "1", "8", "9", "27", "28", "35", "36", "64", "65", "72", "73", "91", "92", "99", "100", "125", "126", "133", "134", "152", "153", "160", "161", "189", "190", "197", "198", "216", "217", "224", "225", "243", "244", "251", "252", "280", "281", "288", "289", "307", "308", "315", "316", "341", "342", "343", "344", "349", "350", "351", "352", "368", "369", "370", "371" ]	[ "nonn", "easy" ]	51	1	2	[ "A001476", "A003995", "A003997" ]	null	N. J. A. Sloane	2023-10-24T06:10:47	oeisdata/seq/A003/A003997.seq	49662cd04c9c017b7e650cd827628c86
A003998	Numbers that are a sum of distinct positive cubes in more than one way.	[ "216", "217", "224", "225", "540", "559", "560", "567", "568", "728", "729", "736", "737", "756", "757", "764", "793", "801", "820", "828", "854", "855", "862", "863", "881", "882", "889", "890", "918", "919", "926", "927", "945", "946", "953", "954", "980", "981", "1008", "1009", "1036", "1044", "1045", "1071", "1072", "1073", "1079", "1080" ]	[ "nonn", "easy", "nice" ]	33	1	1	[ "A001239", "A003998" ]	null	N. J. A. Sloane	2016-01-01T17:29:34	oeisdata/seq/A003/A003998.seq	fbf0cbfcb10c544005eda38117f66f0a
A003999	Sums of distinct nonzero 4th powers.	[ "1", "16", "17", "81", "82", "97", "98", "256", "257", "272", "273", "337", "338", "353", "354", "625", "626", "641", "642", "706", "707", "722", "723", "881", "882", "897", "898", "962", "963", "978", "979", "1296", "1297", "1312", "1313", "1377", "1378", "1393", "1394", "1552", "1553", "1568", "1569", "1633", "1634", "1649", "1650", "1921", "1922" ]	[ "nonn", "easy" ]	48	1	2	[ "A001661", "A003995", "A003997", "A003999", "A046039", "A194768", "A194769", "A217844", "A332065", "A364637" ]	null	N. J. A. Sloane	2023-10-24T07:04:30	oeisdata/seq/A003/A003999.seq	4b3d1eabfcc35a15832711320b851d7d
A004000	RATS: Reverse Add Then Sort the digits applied to previous term, starting with 1.	[ "1", "2", "4", "8", "16", "77", "145", "668", "1345", "6677", "13444", "55778", "133345", "666677", "1333444", "5567777", "12333445", "66666677", "133333444", "556667777", "1233334444", "5566667777", "12333334444", "55666667777", "123333334444", "556666667777", "1233333334444", "5566666667777", "12333333334444" ]	[ "base", "nonn", "nice", "easy" ]	62	1	2	[ "A004000", "A036839", "A066710", "A066711", "A066713", "A114611", "A114612", "A161593", "A164338", "A209878", "A209879", "A209880" ]	[ "M1137" ]	N. J. A. Sloane	2025-02-16T08:32:27	oeisdata/seq/A004/A004000.seq	877cf68f4ba3ef4f41ce2fd94ffb41b0

A003901

Degrees of irreducible representations of group L5(2).

[ "1", "30", "124", "155", "217", "280", "315", "315", "315", "315", "315", "315", "465", "465", "465", "465", "496", "651", "651", "651", "868", "930", "930", "930", "960", "1024", "1240" ]

[ "nonn", "fini", "full" ]

10

1

2

null

N. J. A. Sloane

2024-06-14T22:31:08

oeisdata/seq/A003/A003901.seq

9a044b76cb890e537566c39c3b9b9564

A003902

Degrees of irreducible representations of Suzuki group Suz.

[ "1", "143", "364", "780", "1001", "3432", "5005", "5005", "5940", "10725", "12012", "14300", "15015", "15015", "15795", "18954", "25025", "25025", "25025", "40040", "50050", "50050", "54054", "64064", "64350", "64350", "66560", "75075", "79872", "88452", "93555", "93555", "100100", "133056", "146432", "163800", "189540", "193050", "197120", "208494", "243243", "248832" ]

[ "nonn", "fini", "full" ]

11

1

2

null

N. J. A. Sloane

2024-06-14T22:31:08

oeisdata/seq/A003/A003902.seq

c47d19091bb3be37abdea406f01442a5

A003903

Degrees of irreducible representations of Conway group Co1.

[ "1", "276", "299", "1771", "8855", "17250", "27300", "37674", "44275", "80730", "94875", "313950", "345345", "376740", "483000", "644644", "673750", "673750", "822250", "871884", "1434510", "1450449", "1771000", "1821600", "2055625", "2417415" ]

[ "nonn", "fini", "full" ]

16

1

2

null

N. J. A. Sloane

2024-06-14T22:31:08

oeisdata/seq/A003/A003903.seq

345ecd747195b8cf709d1f7690609fe4

A003904

Degrees of irreducible representations of Janko group J1.

[ "1", "56", "56", "76", "76", "77", "77", "77", "120", "120", "120", "133", "133", "133", "209" ]

[ "nonn", "fini", "full" ]

12

1

2

null

N. J. A. Sloane

2024-06-14T22:31:08

oeisdata/seq/A003/A003904.seq

8f10c15b3289aa4553b2b39710a7bbb8

A003905

Degrees of irreducible representations of Janko group J2.

[ "1", "14", "14", "21", "21", "36", "63", "70", "70", "90", "126", "160", "175", "189", "189", "224", "224", "225", "288", "300", "336" ]

[ "nonn", "fini", "full" ]

11

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003905.seq

2bdffb7ade85288b799575e390f0dd9d

A003906

Degrees of irreducible representations of Janko group J3.

[ "1", "85", "85", "323", "323", "324", "646", "646", "816", "1140", "1215", "1215", "1615", "1920", "1920", "1920", "1938", "1938", "2432", "2754", "3078" ]

[ "nonn", "fini", "full" ]

11

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003906.seq

c9b3d6130bc38d416ff241d9fcf8143e

A003907

Degrees of irreducible representations of Janko group J4.

[ "1", "1333", "1333", "299367", "299367", "887778", "887778", "889111", "1187145", "1187145", "1776888", "3403149", "3403149", "4290927", "32307363", "32307363", "32897107", "32897107", "35411145", "35411145", "95288172", "230279749" ]

[ "nonn", "fini", "full" ]

13

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003907.seq

a097290ababc2356fe77b068a77f19d1

A003908

Degrees of irreducible representations of Higman-Sims group HS.

[ "1", "22", "77", "154", "154", "154", "175", "231", "693", "770", "770", "770", "825", "896", "896", "1056", "1386", "1408", "1750", "1925", "1925", "2520", "2750", "3200" ]

[ "nonn", "fini", "full" ]

11

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003908.seq

7b63dbcdea71e5908f9b62ab749591b0

A003909

Degrees of irreducible representations of McLaughlin group McL.

[ "1", "22", "231", "252", "770", "770", "896", "896", "1750", "3520", "3520", "4500", "4752", "5103", "5544", "8019", "8019", "8250", "8250", "9625", "9856", "9856", "10395", "10395" ]

[ "nonn", "fini", "full" ]

11

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003909.seq

feb813a1e8bd5b438f173659356bb7fe

A003910

Degrees of irreducible representations of Conway group Co3.

[ "1", "23", "253", "253", "275", "896", "896", "1771", "2024", "3520", "3520", "4025", "5544", "7084", "8855", "9625", "9625", "20608", "20608", "23000", "26082", "31625", "31625", "31625", "31878", "40250", "57960", "63250", "73600", "80960", "91125", "93312" ]

[ "nonn", "fini", "full" ]

18

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003910.seq

5cbb1d8ac8ac4400ec470e50e47412fc

A003911

Degrees of irreducible representations of Conway group Co2.

[ "1", "23", "253", "275", "1771", "2024", "2277", "4025", "7084", "9625", "9625", "10395", "10395", "12650", "23000", "31625", "31625", "31878", "37422", "44275", "63250", "91125", "91125", "113850", "129536", "177100", "184437", "212520", "221375" ]

[ "nonn", "fini", "full" ]

16

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003911.seq

98eea80a5ad9c1292ffedd90c292db9b

A003912

Degrees of irreducible representations of Held group He.

[ "1", "51", "51", "153", "153", "680", "1029", "1029", "1275", "1275", "1275", "1920", "4080", "4352", "6272", "6528", "7497", "7497", "7650", "7650", "7650", "10880", "11475", "11475", "11900", "13720", "14400", "17493", "20825", "21504", "21504", "22050", "23324" ]

[ "nonn", "fini", "full" ]

14

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003912.seq

f45d9853eeb465d3bd37b494557480c2

A003913

Degrees of irreducible representations of Fischer group Fi22.

[ "1", "78", "429", "1001", "1430", "3003", "3080", "10725", "13650", "30030", "32032", "43680", "45045", "48048", "50050", "50050", "75075", "75075", "75075", "81081", "114400", "138600", "138600", "150150", "205920", "289575", "300300", "320320", "360855" ]

[ "nonn", "fini", "full" ]

16

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003913.seq

8bcd82b3c6793199dac2fce88e9ff82a

A003914

Degrees of irreducible representations of Fischer group Fi23.

[ "1", "782", "3588", "5083", "25806", "30888", "60996", "106743", "111826", "274482", "279565", "752675", "789360", "812889", "837200", "837200", "850850", "850850", "1677390", "1951872", "2236520", "2322540", "3913910", "5533110", "6709560" ]

[ "nonn", "fini", "full" ]

16

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003914.seq

8a8241a98dcc3581e07a8d541e693a50

A003915

Degrees of irreducible representations of Harada-Norton group HN.

[ "1", "133", "133", "760", "3344", "8778", "8778", "8910", "9405", "16929", "35112", "35112", "65835", "65835", "69255", "69255", "214016", "267520", "270864", "365750", "374528", "374528", "406296", "653125", "656250", "656250", "718200", "718200", "1053360" ]

[ "nonn", "fini", "full" ]

16

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003915.seq

e2034dd053e4dfea91d2a7354dc0081f

A003916

Degrees of irreducible representations of Thompson group Th.

[ "1", "248", "4123", "27000", "27000", "30628", "30875", "61256", "85995", "85995", "147250", "767637", "767637", "779247", "779247", "957125", "1707264", "1707264", "2450240", "2572752", "3376737", "4096000", "4096000", "4123000", "4881384", "4936750" ]

[ "nonn", "fini", "full" ]

15

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003916.seq

ad58998c3b271fe698d8ac6d0bbece4f

A003917

Degrees of irreducible representations of Lyons group Ly.

[ "1", "2480", "2480", "45694", "48174", "48174", "120064", "120064", "381766", "1152735", "1534500", "3028266", "3073960", "4226695", "4997664", "5379430", "10758860", "11834746", "16906780", "18395586", "18395586", "18395586", "19212250" ]

[ "nonn", "fini", "full" ]

16

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003917.seq

e972eca01b7000da2cab2c8a6dbf5cb7

A003918

Degrees of irreducible representations of Rudvalis group Ru.

[ "1", "378", "378", "406", "783", "3276", "3654", "20475", "21750", "23751", "27000", "27000", "27000", "27405", "34944", "34944", "43848", "43848", "43848", "45500", "52780", "63336", "65975", "71253", "75400", "76125", "81432", "91350", "95004", "98280", "98280", "102400", "105560", "110592", "110592", "118784" ]

[ "nonn", "fini", "full" ]

20

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003918.seq

80080474a0618d3ec7238ebac26f8111

A003919

Degrees of irreducible representations of O'Nan group ON.

[ "1", "10944", "13376", "13376", "25916", "25916", "26752", "32395", "32395", "37696", "52668", "58311", "58311", "58311", "58653", "64790", "64790", "85064", "116963", "143374", "169290", "169290", "175616", "175616", "175770", "207360", "207360", "207360", "234080", "234080" ]

[ "nonn", "fini", "full" ]

12

1

2

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003919.seq

923c4079421cc3f9c4654faea7343a87

A003920

Order of universal Chevalley group B_n (3).

[ "24", "51840", "9170703360", "131569513308979200", "152915585868239728626892800", "14395932257291877030764312963579904000", "109777561863482259035023554842176139436811616256000" ]

[ "nonn", "easy" ]

19

1

[ "A003920", "A071302" ]

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003920.seq

1e0bdaa985dcd979058ce9db5a123f70

A003921

Order of universal Chevalley group B_n (4).

[ "60", "979200", "4106059776000", "4408780839651901440000", "1211875293642881119668928512000000", "85278137430613949474674174708223909560320000000" ]

[ "nonn", "easy" ]

10

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003921.seq

a82a57000636acfe2ebb298ba57974f6

A003922

Order of universal Chevalley group B_n (5).

[ "120", "9360000", "457002000000000", "13946558535000000000000000", "266009466302345390625000000000000000000", "3171079936179764469273010253906250000000000000000000000" ]

[ "nonn", "easy" ]

10

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003922.seq

6c21fa2206b4950ba6eb4de69166dcaf

A003923

Order of universal Chevalley group B_n (2) or symplectic group Sp(2n,2).

[ "1", "6", "720", "1451520", "47377612800", "24815256521932800", "208114637736580743168000", "27930968965434591767112450048000", "59980383884075203672726385914533642240000" ]

[ "nonn", "easy", "nice" ]

28

0

2

[ "A003053", "A003920", "A003923" ]

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003923.seq

810aefad084d96cac1dbfcd54a68f0d0

A003924

Order of universal Chevalley group B_n (7).

[ "336", "276595200", "546914437209907200", "2596509480922336727312302080000", "29597339316082819652234687848790174733434880000", "810042101621990387485449491667484171676631766280916065845248000000" ]

[ "nonn", "easy" ]

13

0

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003924.seq

ceb9aa56b24514732473fb17ea734a2e

A003925

Order of universal Chevalley group B_n (8).

[ "504", "1056706560", "9077005607176765440", "319368723699461283992462111539200", "46025883638628966977843321053405598530493271244800", "27168886279544618607869530961362524544707830196725394137207827070976000" ]

[ "nonn", "easy" ]

13

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003925.seq

750fec382be895655552e7b808fa8d11

A003926

Order of universal Chevalley group B_n (9).

[ "720", "3443212800", "108051462804999168000", "22246837484597339860644476682240000", "30052178620241342579800569752518387643389968384000000", "266350599470999830406351699267844906476060443517288646066593731706880000000" ]

[ "nonn", "easy" ]

12

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003926.seq

37b3894bb824e6c7b4c741b54bfd7ee5

A003927

Order of simple Chevalley group B_n (3).

[ "25920", "4585351680", "65784756654489600", "76457792934119864313446400", "7197966128645938515382156481789952000", "54888780931741129517511777421088069718405808128000" ]

[ "nonn" ]

15

2

1

[ "A003920", "A003927" ]

null

N. J. A. Sloane

2023-10-24T05:54:17

oeisdata/seq/A003/A003927.seq

6f92535ecb65165f4f5317f5838443be

A003928

Order of simple Chevalley group B_n (5).

[ "60", "4680000", "228501000000000", "6973279267500000000000000", "133004733151172695312500000000000000000", "1585539968089882234636505126953125000000000000000000000" ]

[ "nonn" ]

13

1

null

N. J. A. Sloane

2023-10-24T05:54:36

oeisdata/seq/A003/A003928.seq

b153e2b998f54f7397d497a060f0aa24

A003929

Order of simple Chevalley group B_n (7).

[ "168", "138297600", "273457218604953600", "1298254740461168363656151040000", "14798669658041409826117343924395087366717440000", "405021050810995193742724745833742085838315883140458032922624000000" ]

[ "nonn" ]

14

1

null

N. J. A. Sloane

2023-10-24T05:55:26

oeisdata/seq/A003/A003929.seq

fbff004fde0807ca26659d1fedc67804

A003930

Order of simple Chevalley group B_n (9).

[ "360", "1721606400", "54025731402499584000", "11123418742298669930322238341120000", "15026089310120671289900284876259193821694984192000000", "133175299735499915203175849633922453238030221758644323033296865853440000000" ]

[ "nonn" ]

11

1

null

N. J. A. Sloane

2023-10-24T05:55:47

oeisdata/seq/A003/A003930.seq

f6dc1a524d1534c2f7f60c2f5db7dd01

A003931

Order of universal Chevalley group B_2(q), q = prime power.

[ "720", "51840", "979200", "9360000", "276595200", "1056706560", "3443212800", "25721308800", "137037962880", "1095199948800", "2008994088960", "6114035779200", "41348052472320", "95214600000000", "205608315669120", "420206392771200", "818774509363200", "1124799322521600", "4805069329111680", "13414669637644800" ]

[ "nonn", "easy" ]

20

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003931.seq

45cd0911cf1b53bdf0f958c2d80a93c6

A003932

Order of universal Chevalley group B_3(q), q = prime power.

[ "1451520", "9170703360", "4106059776000", "457002000000000", "546914437209907200", "9077005607176765440", "108051462804999168000", "7338585441586912128000", "245593958671812227742720", "19266960106724096212992000", "68852034247000426560552960", "712225595693024258315904000" ]

[ "nonn", "easy" ]

20

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003932.seq

30153ddc4d9f09b056b6171df1a1208a

A003933

Order of universal Chevalley group B_4(q), q = prime power.

[ "47377612800", "131569513308979200", "4408780839651901440000", "13946558535000000000000000", "2596509480922336727312302080000", "319368723699461283992462111539200", "22246837484597339860644476682240000" ]

[ "nonn", "easy" ]

14

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003933.seq

d24899d3649ab98a830b95082ebd431c

A003934

Order of universal Chevalley group B_5(q), q = prime power.

[ "24815256521932800", "152915585868239728626892800", "1211875293642881119668928512000000", "266009466302345390625000000000000000000", "29597339316082819652234687848790174733434880000", "46025883638628966977843321053405598530493271244800" ]

[ "nonn", "easy" ]

14

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003934.seq

6aa28a85ddef03f64f172c121f6a1da9

A003935

Order of universal Chevalley group B_6(q), q = prime power.

[ "208114637736580743168000", "14395932257291877030764312963579904000", "85278137430613949474674174708223909560320000000", "3171079936179764469273010253906250000000000000000000000" ]

[ "nonn", "easy" ]

14

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003935.seq

1fcf893709ac84bc542679fa7dff7707

A003936

Order of universal Chevalley group B_7(q), q = prime power.

[ "27930968965434591767112450048000", "109777561863482259035023554842176139436811616256000", "1536234346098532793158147848149455029037710018156586598400000000", "23626386639924457166562360847447514533996582031250000000000000000000000000" ]

[ "nonn", "easy" ]

17

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003936.seq

434033e322dc80b43199b1c8a0b22c9b

A003937

Order of universal Chevalley group B_8(q), q = prime power.

[ "59980383884075203672726385914533642240000", "67806677896800158816511248022114282163091244291914415200010240000", "7084630453281025440882493116981310890142026281589018852388680249504694272000000000" ]

[ "nonn", "easy" ]

21

1

[ "A000961", "A003920", "A003937" ]

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003937.seq

bf0b9e19adf174ed40e20d7120df9804

A003938

Order of (usually) simple Chevalley group B_2(q), q = prime power.

[ "720", "25920", "979200", "4680000", "138297600", "1056706560", "1721606400", "12860654400", "68518981440", "1095199948800", "1004497044480", "3057017889600", "20674026236160", "47607300000000", "102804157834560", "210103196385600" ]

[ "nonn", "easy" ]

14

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003938.seq

d19140d25f896176583b61c5238ad223

A003939

Order of simple Chevalley group B_3(q), q = prime power.

[ "1451520", "4585351680", "4106059776000", "228501000000000", "273457218604953600", "9077005607176765440", "54025731402499584000", "3669292720793456064000", "122796979335906113871360", "19266960106724096212992000" ]

[ "nonn", "easy" ]

14

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003939.seq

a471203da2573bc3159ec79a039d1517

A003940

Order of simple Chevalley group B_4(q), q = prime power.

[ "47377612800", "65784756654489600", "4408780839651901440000", "6973279267500000000000000", "1298254740461168363656151040000", "319368723699461283992462111539200" ]

[ "nonn", "easy" ]

14

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003940.seq

3c2793068b866ca09c6ca0bb77a02815

A003941

Order of simple Chevalley group B_5(q), q = prime power.

[ "24815256521932800", "76457792934119864313446400", "1211875293642881119668928512000000", "133004733151172695312500000000000000000", "14798669658041409826117343924395087366717440000", "46025883638628966977843321053405598530493271244800" ]

[ "nonn", "easy" ]

14

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003941.seq

94f0323dd160f97beab4884ac19618f5

A003942

Order of simple Chevalley group B_6(q), q = prime power.

[ "208114637736580743168000", "7197966128645938515382156481789952000", "85278137430613949474674174708223909560320000000", "1585539968089882234636505126953125000000000000000000000" ]

[ "nonn", "easy" ]

14

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003942.seq

273785b38782c67510cdb5db3f54585b

A003943

Order of simple Chevalley group B_7(q), q = prime power.

[ "27930968965434591767112450048000", "54888780931741129517511777421088069718405808128000", "1536234346098532793158147848149455029037710018156586598400000000", "11813193319962228583281180423723757266998291015625000000000000000000000000" ]

[ "nonn", "easy" ]

18

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003943.seq

7212d14bf258565ce8ea36397cf4928b

A003944

Order of simple Chevalley group B_8(q), q = prime power.

[ "59980383884075203672726385914533642240000", "33903338948400079408255624011057141081545622145957207600005120000", "7084630453281025440882493116981310890142026281589018852388680249504694272000000000" ]

[ "nonn", "easy" ]

17

1

null

N. J. A. Sloane

2024-06-14T22:31:09

oeisdata/seq/A003/A003944.seq

9febd6948061d9273540f2db8a12a158

A003945

Expansion of g.f. (1+x)/(1-2*x).

[ "1", "3", "6", "12", "24", "48", "96", "192", "384", "768", "1536", "3072", "6144", "12288", "24576", "49152", "98304", "196608", "393216", "786432", "1572864", "3145728", "6291456", "12582912", "25165824", "50331648", "100663296", "201326592", "402653184", "805306368", "1610612736", "3221225472", "6442450944", "12884901888" ]

[ "nonn", "easy" ]

130

0

2

[ "A001045", "A001787", "A003688", "A003945", "A003946", "A003947", "A003948", "A003949", "A003950", "A003951", "A003952", "A007283", "A040000", "A042950", "A161175", "A170732", "A170733", "A170734", "A170735", "A170736", "A170737", "A170738", "A170739", "A170740", "A170741", "A170742", "A170743", "A170744", "A170745", "A170746", "A170747", "A170748", "A170749", "A170750", "A170751", "A170752", "A170753", "A170754", "A170755", "A170756", "A170757", "A170758", "A170759", "A170760", "A170761", "A170762", "A170763", "A170764", "A170765", "A170766", "A170767", "A170768", "A170769" ]

null

N. J. A. Sloane

2024-06-01T11:56:28

oeisdata/seq/A003/A003945.seq

4145ad84acf291f2f01ab6db8b142c6a

A003946

Expansion of (1+x)/(1-3*x).

[ "1", "4", "12", "36", "108", "324", "972", "2916", "8748", "26244", "78732", "236196", "708588", "2125764", "6377292", "19131876", "57395628", "172186884", "516560652", "1549681956", "4649045868", "13947137604", "41841412812", "125524238436", "376572715308", "1129718145924" ]

[ "nonn", "easy", "nice", "walk" ]

174

0

2

[ "A003946", "A015448", "A029653", "A143865", "A265583" ]

null

N. J. A. Sloane

2025-02-16T08:32:27

oeisdata/seq/A003/A003946.seq

d26b78f990e29d1315c9c32e62774752

A003947

Expansion of (1+x)/(1-4*x).

[ "1", "5", "20", "80", "320", "1280", "5120", "20480", "81920", "327680", "1310720", "5242880", "20971520", "83886080", "335544320", "1342177280", "5368709120", "21474836480", "85899345920", "343597383680", "1374389534720", "5497558138880", "21990232555520", "87960930222080", "351843720888320" ]

[ "nonn", "easy" ]

73

0

2

[ "A003947", "A003948", "A003949", "A265583" ]

null

N. J. A. Sloane

2025-01-03T19:15:40

oeisdata/seq/A003/A003947.seq

bf118d622b98b4abcd8fb712c910472b

A003948

Expansion of (1+x)/(1-5*x).

[ "1", "6", "30", "150", "750", "3750", "18750", "93750", "468750", "2343750", "11718750", "58593750", "292968750", "1464843750", "7324218750", "36621093750", "183105468750", "915527343750", "4577636718750", "22888183593750", "114440917968750", "572204589843750", "2861022949218750", "14305114746093750" ]

[ "nonn", "easy", "nice", "walk" ]

109

0

2

[ "A003946", "A003947", "A003948", "A003949", "A003950", "A003952", "A003954", "A029653" ]

null

N. J. A. Sloane

2024-05-04T16:04:32

oeisdata/seq/A003/A003948.seq

0461f346e8c2a397f68d58f7b68eac24

A003949

Expansion of g.f. (1+x)/(1-6*x).

[ "1", "7", "42", "252", "1512", "9072", "54432", "326592", "1959552", "11757312", "70543872", "423263232", "2539579392", "15237476352", "91424858112", "548549148672", "3291294892032", "19747769352192", "118486616113152", "710919696678912", "4265518180073472", "25593109080440832", "153558654482644992" ]

[ "nonn", "easy" ]

64

0

2

[ "A003947", "A003948", "A003949", "A003950", "A003951" ]

null

N. J. A. Sloane

2024-01-01T18:27:36

oeisdata/seq/A003/A003949.seq

4bc6a5c138389dd6dee80ffb7e9ea817

A003950

Expansion of g.f.: (1+x)/(1-7*x).

[ "1", "8", "56", "392", "2744", "19208", "134456", "941192", "6588344", "46118408", "322828856", "2259801992", "15818613944", "110730297608", "775112083256", "5425784582792", "37980492079544", "265863444556808", "1861044111897656", "13027308783283592", "91191161482985144", "638338130380896008" ]

[ "nonn", "walk", "easy" ]

75

0

2

[ "A003948", "A003949", "A003950", "A003951" ]

null

N. J. A. Sloane

2022-09-08T08:44:32

oeisdata/seq/A003/A003950.seq

889df5becf9ac23b7f99ddd504d43eb7

A003951

Expansion of g.f.: (1+x)/(1-8*x).

[ "1", "9", "72", "576", "4608", "36864", "294912", "2359296", "18874368", "150994944", "1207959552", "9663676416", "77309411328", "618475290624", "4947802324992", "39582418599936", "316659348799488", "2533274790395904", "20266198323167232", "162129586585337856", "1297036692682702848" ]

[ "nonn", "easy" ]

59

0

2

[ "A003945", "A003951" ]

null

N. J. A. Sloane

2022-09-08T08:44:32

oeisdata/seq/A003/A003951.seq

32daa567a3b0598883bfb700efbd1af1

A003952

Expansion of g.f.: (1+x)/(1-9*x).

[ "1", "10", "90", "810", "7290", "65610", "590490", "5314410", "47829690", "430467210", "3874204890", "34867844010", "313810596090", "2824295364810", "25418658283290", "228767924549610", "2058911320946490", "18530201888518410", "166771816996665690", "1500946352969991210", "13508517176729920890" ]

[ "nonn", "easy" ]

79

0

2

[ "A003949", "A003950", "A003951", "A003952" ]

null

N. J. A. Sloane, Mar 15 1996

2022-09-08T08:44:32

oeisdata/seq/A003/A003952.seq

46efedcacc9ae01d6bd296a0822dc166

A003953

Expansion of g.f.: (1+x)/(1-10*x).

[ "1", "11", "110", "1100", "11000", "110000", "1100000", "11000000", "110000000", "1100000000", "11000000000", "110000000000", "1100000000000", "11000000000000", "110000000000000", "1100000000000000", "11000000000000000" ]

[ "nonn", "easy" ]

52

0

2

[ "A003945", "A003952", "A003953" ]

null

N. J. A. Sloane

2022-09-08T08:44:32

oeisdata/seq/A003/A003953.seq

22182041764844eb819d9289d2d9a3fa

A003954

Expansion of g.f.: (1+x)/(1-11*x).

[ "1", "12", "132", "1452", "15972", "175692", "1932612", "21258732", "233846052", "2572306572", "28295372292", "311249095212", "3423740047332", "37661140520652", "414272545727172", "4556998002998892", "50126978032987812", "551396758362865932", "6065364341991525252", "66719007761906777772", "733909085380974555492" ]

[ "nonn", "easy" ]

61

0

2

[ "A003946", "A003948", "A003950", "A003952", "A003953", "A003954", "A029653" ]

null

N. J. A. Sloane

2025-03-25T17:58:55

oeisdata/seq/A003/A003954.seq

886a85a6c31b67208d0de74f6cd79615

A003955

a(n) = (2*n + 4) * (1*3*5*...*(2*n+1))^2.

[ "4", "54", "1800", "110250", "10716300", "1512784350", "292183491600", "73958946311250", "23749039426612500", "9430743556307823750", "4537044990907363935000", "2600104866872495148416250", "1750070583471871734510937500", "1366930130733208386919792968750", "1226227455943070136959515612500000" ]

[ "nonn" ]

14

0

1

[ "A001818", "A003955" ]

null

N. J. A. Sloane, Joe Keane (jgk(AT)jgk.org)

2022-09-08T08:44:32

oeisdata/seq/A003/A003955.seq

26670f67b669051a3dd2fba54c7c413c

A003956

Order of complex Clifford group of degree 2^n arising in quantum coding theory.

[ "8", "192", "92160", "743178240", "97029351014400", "203286581427673497600", "6819500449352277792129024000", "3660967964237442812098963052691456000", "31446995505814020383166371418359014222725120000" ]

[ "nonn", "easy", "nice" ]

46

0

1

[ "A001309", "A003956", "A014115", "A014116", "A027638", "A027672" ]

null

N. J. A. Sloane, Peter Shor

2024-06-20T16:26:11

oeisdata/seq/A003/A003956.seq

f4554719147bf089453dfd83d2e8cf56

A003957

The Dottie number: decimal expansion of root of cos(x) = x.

[ "7", "3", "9", "0", "8", "5", "1", "3", "3", "2", "1", "5", "1", "6", "0", "6", "4", "1", "6", "5", "5", "3", "1", "2", "0", "8", "7", "6", "7", "3", "8", "7", "3", "4", "0", "4", "0", "1", "3", "4", "1", "1", "7", "5", "8", "9", "0", "0", "7", "5", "7", "4", "6", "4", "9", "6", "5", "6", "8", "0", "6", "3", "5", "7", "7", "3", "2", "8", "4", "6", "5", "4", "8", "8", "3", "5", "4", "7", "5", "9", "4", "5", "9", "9", "3", "7", "6", "1", "0", "6", "9", "3", "1", "7", "6", "6", "5", "3", "1", "8", "4", "9", "8", "0", "1", "2", "4", "6" ]

[ "nonn", "cons" ]

134

0

1

[ "A003957", "A009442", "A177413", "A182503", "A197002", "A200309", "A212112", "A212113", "A217066", "A330119" ]

null

Leonid Broukhis

2025-02-16T08:32:27

oeisdata/seq/A003/A003957.seq

97ef0fc96244499199413ad5c0e94c4d

A003958

If n = Product p(k)^e(k) then a(n) = Product (p(k)-1)^e(k).

[ "1", "1", "2", "1", "4", "2", "6", "1", "4", "4", "10", "2", "12", "6", "8", "1", "16", "4", "18", "4", "12", "10", "22", "2", "16", "12", "8", "6", "28", "8", "30", "1", "20", "16", "24", "4", "36", "18", "24", "4", "40", "12", "42", "10", "16", "22", "46", "2", "36", "16", "32", "12", "52", "8", "40", "6", "36", "28", "58", "8", "60", "30", "24", "1", "48", "20", "66", "16", "44", "24", "70", "4", "72", "36", "32", "18", "60", "24", "78", "4", "16" ]

[ "nonn", "mult", "nice" ]

73

1

3

[ "A003958", "A003959", "A006093", "A027746", "A027748", "A124010", "A168065", "A168066" ]

null

Marc LeBrun

2023-10-29T08:22:43

oeisdata/seq/A003/A003958.seq

d0639bde80b99a29b5a847dc3a080c48

A003959

If n = Product p(k)^e(k) then a(n) = Product (p(k)+1)^e(k), a(1) = 1.

[ "1", "3", "4", "9", "6", "12", "8", "27", "16", "18", "12", "36", "14", "24", "24", "81", "18", "48", "20", "54", "32", "36", "24", "108", "36", "42", "64", "72", "30", "72", "32", "243", "48", "54", "48", "144", "38", "60", "56", "162", "42", "96", "44", "108", "96", "72", "48", "324", "64", "108", "72", "126", "54", "192", "72", "216", "80", "90", "60", "216", "62", "96", "128", "729", "84", "144", "68" ]

[ "nonn", "easy", "nice", "mult" ]

71

1

2

[ "A003958", "A003959", "A027746", "A036987", "A061142", "A063441", "A064478", "A163407", "A165824", "A165825", "A165826", "A165827", "A165828", "A165829", "A165830", "A165831", "A166586", "A166590", "A166642", "A166643", "A166644", "A166645", "A166646", "A166647", "A166649", "A166650", "A167350", "A167351", "A168065", "A168066" ]

null

Marc LeBrun

2023-10-29T06:37:35

oeisdata/seq/A003/A003959.seq

b702b35435ca03fbd75be9a997e8fac3

A003960

Fully multiplicative with a(p) = [ (p+1)/2 ] for prime p.

[ "1", "1", "2", "1", "3", "2", "4", "1", "4", "3", "6", "2", "7", "4", "6", "1", "9", "4", "10", "3", "8", "6", "12", "2", "9", "7", "8", "4", "15", "6", "16", "1", "12", "9", "12", "4", "19", "10", "14", "3", "21", "8", "22", "6", "12", "12", "24", "2", "16", "9", "18", "7", "27", "8", "18", "4", "20", "15", "30", "6", "31", "16", "16", "1", "21", "12", "34", "9", "24", "12", "36", "4", "37", "19", "18", "10", "24", "14", "40", "3", "16", "21", "42", "8", "27" ]

[ "nonn", "easy", "mult" ]

20

1

3

[ "A003960", "A003970" ]

null

Marc LeBrun

2023-09-03T08:45:18

oeisdata/seq/A003/A003960.seq

2cf5b86b6f8b13ba2cc0025bf2c1c6c7

A003961

Completely multiplicative with a(prime(k)) = prime(k+1).

[ "1", "3", "5", "9", "7", "15", "11", "27", "25", "21", "13", "45", "17", "33", "35", "81", "19", "75", "23", "63", "55", "39", "29", "135", "49", "51", "125", "99", "31", "105", "37", "243", "65", "57", "77", "225", "41", "69", "85", "189", "43", "165", "47", "117", "175", "87", "53", "405", "121", "147", "95", "153", "59", "375", "91", "297", "115", "93", "61", "315", "67", "111", "275", "729", "119" ]

[ "nonn", "mult", "nice" ]

142

1

2

[ "A000040", "A000265", "A000720", "A001221", "A001222", "A002110", "A003961", "A003964", "A003972", "A003973", "A005408", "A005940", "A006519", "A027746", "A045965", "A046523", "A048673", "A049084", "A056239", "A064216", "A064988", "A064989", "A065338", "A066117", "A076610", "A091202", "A091203", "A108228", "A112798", "A122111", "A163511", "A191002", "A191555", "A206296", "A225546", "A242378", "A244319", "A245606", "A246259", "A246261", "A246263", "A246269", "A246271", "A246272", "A246278", "A246281", "A246282", "A249734", "A249735", "A250245", "A250246", "A250469", "A252738", "A252742", "A252748", "A255483", "A260443", "A265408", "A265750", "A269379", "A275717", "A275718", "A275733", "A275735", "A283980", "A286385", "A296150", "A297845", "A300841", "A302023", "A302024", "A302025", "A302026", "A305293", "A305421", "A306697", "A308503", "A318321", "A322361", "A322991", "A326042", "A329050", "A341529", "A357852", "A357853", "A357977", "A357978", "A357980", "A357983" ]

null

Marc LeBrun

2024-10-04T08:52:43

oeisdata/seq/A003/A003961.seq

4b678e37ecf88d5929d5cef35df5a49f

A003962

Completely multiplicative with a(prime(k)) = floor( (prime(k+1)+1)/2 ) for k-th prime prime(k).

[ "1", "2", "3", "4", "4", "6", "6", "8", "9", "8", "7", "12", "9", "12", "12", "16", "10", "18", "12", "16", "18", "14", "15", "24", "16", "18", "27", "24", "16", "24", "19", "32", "21", "20", "24", "36", "21", "24", "27", "32", "22", "36", "24", "28", "36", "30", "27", "48", "36", "32", "30", "36", "30", "54", "28", "48", "36", "32", "31", "48", "34", "38", "54", "64", "36", "42", "36", "40", "45", "48", "37", "72", "40", "42", "48", "48" ]

[ "nonn", "easy", "mult" ]

27

1

2

[ "A000040", "A000720", "A003962", "A151800" ]

null

Marc LeBrun

2023-08-31T06:26:41

oeisdata/seq/A003/A003962.seq

a24736d6c0a8f7e9b884db31c44a88b8

A003963

Fully multiplicative with a(p) = k if p is the k-th prime.

[ "1", "1", "2", "1", "3", "2", "4", "1", "4", "3", "5", "2", "6", "4", "6", "1", "7", "4", "8", "3", "8", "5", "9", "2", "9", "6", "8", "4", "10", "6", "11", "1", "10", "7", "12", "4", "12", "8", "12", "3", "13", "8", "14", "5", "12", "9", "15", "2", "16", "9", "14", "6", "16", "8", "15", "4", "16", "10", "17", "6", "18", "11", "16", "1", "18", "10", "19", "7", "18", "12", "20", "4", "21", "12", "18", "8", "20", "12", "22", "3", "16", "13", "23", "8", "21", "14", "20", "5" ]

[ "nonn", "nice", "easy", "mult" ]

81

1

3

[ "A000720", "A001221", "A001222", "A003963", "A027748", "A049084", "A056239", "A064553", "A112798", "A124010", "A156552", "A215366", "A227184", "A241909", "A243354", "A243499", "A243504" ]

null

Marc LeBrun

2022-11-18T03:38:52

oeisdata/seq/A003/A003963.seq

b1287531a458f487c2a8fb6514c9a0e8

A003964

Fully multiplicative with a(prime(k)) = partition(k+1).

[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "15", "14", "15", "16", "22", "18", "30", "20", "21", "22", "42", "24", "25", "30", "27", "28", "56", "30", "77", "32", "33", "44", "35", "36", "101", "60", "45", "40", "135", "42", "176", "44", "45", "84", "231", "48", "49", "50", "66", "60", "297", "54", "55", "56", "90", "112", "385", "60", "490", "154", "63", "64", "75", "66", "627", "88", "126", "70" ]

[ "nonn", "look", "mult" ]

34

1

2

[ "A000041", "A000720", "A003964", "A299200" ]

null

Marc LeBrun, N. J. A. Sloane

2023-09-19T01:44:14

oeisdata/seq/A003/A003964.seq

bea30186c017c9a78d5da198825ccba0

A003965

Fully multiplicative with a(prime(k)) = Fibonacci(k+2).

[ "1", "2", "3", "4", "5", "6", "8", "8", "9", "10", "13", "12", "21", "16", "15", "16", "34", "18", "55", "20", "24", "26", "89", "24", "25", "42", "27", "32", "144", "30", "233", "32", "39", "68", "40", "36", "377", "110", "63", "40", "610", "48", "987", "52", "45", "178", "1597", "48", "64", "50", "102", "84", "2584", "54", "65", "64", "165", "288", "4181", "60", "6765", "466", "72", "64", "105", "78", "10946" ]

[ "nonn", "mult" ]

28

1

2

[ "A000045", "A000720", "A003965", "A051037", "A337669" ]

null

Marc LeBrun, N. J. A. Sloane

2022-12-24T03:49:11

oeisdata/seq/A003/A003965.seq

18d23858e2541ea4f78e8b341ab2610f

A003966

Möbius transform of A003958.

[ "1", "0", "1", "0", "3", "0", "5", "0", "2", "0", "9", "0", "11", "0", "3", "0", "15", "0", "17", "0", "5", "0", "21", "0", "12", "0", "4", "0", "27", "0", "29", "0", "9", "0", "15", "0", "35", "0", "11", "0", "39", "0", "41", "0", "6", "0", "45", "0", "30", "0", "15", "0", "51", "0", "27", "0", "17", "0", "57", "0", "59", "0", "10", "0", "33", "0", "65", "0", "21", "0", "69", "0", "71", "0", "12", "0", "45", "0", "77", "0", "8", "0", "81", "0", "45", "0", "27", "0", "87", "0", "55", "0", "29", "0", "51", "0", "95", "0", "18" ]

[ "nonn", "mult" ]

41

1

5

[ "A003958", "A003966", "A276833" ]

null

Marc LeBrun

2023-02-11T08:20:15

oeisdata/seq/A003/A003966.seq

961c47ce3a46d9ac5fef8adbd9f75d98

A003967

Inverse Möbius transform of A003958.

[ "1", "2", "3", "3", "5", "6", "7", "4", "7", "10", "11", "9", "13", "14", "15", "5", "17", "14", "19", "15", "21", "22", "23", "12", "21", "26", "15", "21", "29", "30", "31", "6", "33", "34", "35", "21", "37", "38", "39", "20", "41", "42", "43", "33", "35", "46", "47", "15", "43", "42", "51", "39", "53", "30", "55", "28", "57", "58", "59", "45", "61", "62", "49", "7", "65", "66", "67", "51", "69", "70", "71", "28", "73" ]

[ "nonn", "mult" ]

22

1

2

[ "A003958", "A003967", "A341635" ]

null

Marc LeBrun

2022-02-11T17:49:04

oeisdata/seq/A003/A003967.seq

315b82a9155a0103c67b9156b731e060

A003968

Möbius transform of A003959.

[ "1", "2", "3", "6", "5", "6", "7", "18", "12", "10", "11", "18", "13", "14", "15", "54", "17", "24", "19", "30", "21", "22", "23", "54", "30", "26", "48", "42", "29", "30", "31", "162", "33", "34", "35", "72", "37", "38", "39", "90", "41", "42", "43", "66", "60", "46", "47", "162", "56", "60", "51", "78", "53", "96", "55", "126", "57", "58", "59", "90", "61", "62", "84", "486", "65", "66", "67", "102", "69" ]

[ "nonn", "mult" ]

30

1

2

[ "A003959", "A003968", "A005596", "A062953", "A104141" ]

null

Marc LeBrun

2022-10-23T02:54:32

oeisdata/seq/A003/A003968.seq

4291711c5e80e8981d0973cec5e0df0d

A003969

Inverse Möbius transform of A003959.

[ "1", "4", "5", "13", "7", "20", "9", "40", "21", "28", "13", "65", "15", "36", "35", "121", "19", "84", "21", "91", "45", "52", "25", "200", "43", "60", "85", "117", "31", "140", "33", "364", "65", "76", "63", "273", "39", "84", "75", "280", "43", "180", "45", "169", "147", "100", "49", "605", "73", "172", "95", "195", "55", "340", "91", "360", "105", "124", "61", "455", "63", "132", "189" ]

[ "nonn", "mult" ]

19

1

2

[ "A003959", "A003969", "A005596", "A072691" ]

null

Marc LeBrun

2022-10-23T02:54:14

oeisdata/seq/A003/A003969.seq

fa57f1d9f8da36724aa6e7171daf1580

A003970

Möbius transform of A003960 (with alternating zeros omitted).

[ "1", "1", "2", "3", "2", "5", "6", "2", "8", "9", "3", "11", "6", "4", "14", "15", "5", "6", "18", "6", "20", "21", "4", "23", "12", "8", "26", "10", "9", "29", "30", "6", "12", "33", "11", "35", "36", "6", "15", "39", "8", "41", "16", "14", "44", "18", "15", "18", "48", "10", "50", "51", "6", "53", "54", "18", "56", "22", "12", "24", "30", "20", "18", "63", "21", "65", "27", "8", "68", "69", "23", "30", "28", "12", "74", "75" ]

[ "nonn", "easy", "mult" ]

28

1

3

[ "A003960", "A003970" ]

null

Marc LeBrun

2023-11-03T11:21:35

oeisdata/seq/A003/A003970.seq

d93dc0b7b172045d673f997d557cca41

A003971

Inverse Möbius transform of A003960.

[ "1", "2", "3", "3", "4", "6", "5", "4", "7", "8", "7", "9", "8", "10", "12", "5", "10", "14", "11", "12", "15", "14", "13", "12", "13", "16", "15", "15", "16", "24", "17", "6", "21", "20", "20", "21", "20", "22", "24", "16", "22", "30", "23", "21", "28", "26", "25", "15", "21", "26", "30", "24", "28", "30", "28", "20", "33", "32", "31", "36", "32", "34", "35", "7", "32", "42", "35", "30", "39", "40", "37", "28", "38", "40" ]

[ "nonn", "easy", "mult" ]

25

1

2

[ "A003960", "A003971" ]

null

Marc LeBrun

2022-12-06T07:56:39

oeisdata/seq/A003/A003971.seq

1bcc730edd9e6549871493080d2f4376

A003972

Moebius transform of A003961; a(n) = phi(A003961(n)), where A003961 shifts the prime factorization of n one step towards the larger primes.

[ "1", "2", "4", "6", "6", "8", "10", "18", "20", "12", "12", "24", "16", "20", "24", "54", "18", "40", "22", "36", "40", "24", "28", "72", "42", "32", "100", "60", "30", "48", "36", "162", "48", "36", "60", "120", "40", "44", "64", "108", "42", "80", "46", "72", "120", "56", "52", "216", "110", "84", "72", "96", "58", "200", "72", "180", "88", "60", "60", "144", "66", "72", "200", "486", "96", "96", "70" ]

[ "nonn", "mult", "changed" ]

42

1

2

[ "A000010", "A003961", "A003972", "A003973", "A037225", "A048673", "A108228" ]

null

Marc LeBrun

2025-04-15T08:27:15

oeisdata/seq/A003/A003972.seq

1256df20a4d9ab6f79ea3f86a1613ee4

A003973

Inverse Möbius transform of A003961; a(n) = sigma(A003961(n)), where A003961 shifts the prime factorization of n one step towards the larger primes.

[ "1", "4", "6", "13", "8", "24", "12", "40", "31", "32", "14", "78", "18", "48", "48", "121", "20", "124", "24", "104", "72", "56", "30", "240", "57", "72", "156", "156", "32", "192", "38", "364", "84", "80", "96", "403", "42", "96", "108", "320", "44", "288", "48", "182", "248", "120", "54", "726", "133", "228", "120", "234", "60", "624", "112", "480", "144", "128", "62", "624", "68" ]

[ "nonn", "easy", "mult" ]

60

1

2

[ "A000203", "A000290", "A003961", "A003972", "A003973", "A007814", "A008438", "A048673", "A108228", "A151800", "A295664", "A326042", "A336838", "A336840", "A336841", "A336844", "A336846", "A336847", "A336848", "A336849", "A336850", "A336851", "A336852", "A336856", "A336931", "A336932" ]

null

Marc LeBrun

2022-12-08T07:36:26

oeisdata/seq/A003/A003973.seq

cb7f7ed1b0fb6ec6e14584f340891a7c

A003974

Möbius transform of A003962.

[ "1", "1", "2", "2", "3", "2", "5", "4", "6", "3", "6", "4", "8", "5", "6", "8", "9", "6", "11", "6", "10", "6", "14", "8", "12", "8", "18", "10", "15", "6", "18", "16", "12", "9", "15", "12", "20", "11", "16", "12", "21", "10", "23", "12", "18", "14", "26", "16", "30", "12", "18", "16", "29", "18", "18", "20", "22", "15", "30", "12", "33", "18", "30", "32", "24", "12", "35", "18", "28", "15", "36", "24", "39", "20", "24", "22", "30" ]

[ "nonn", "easy", "mult" ]

17

1

3

[ "A003962", "A003974", "A003975", "A151800" ]

null

Marc LeBrun

2023-09-04T01:59:25

oeisdata/seq/A003/A003974.seq

f17b1a642a47963a8e874117491d76d3

A003975

Inverse Möbius transform of A003962.

[ "1", "3", "4", "7", "5", "12", "7", "15", "13", "15", "8", "28", "10", "21", "20", "31", "11", "39", "13", "35", "28", "24", "16", "60", "21", "30", "40", "49", "17", "60", "20", "63", "32", "33", "35", "91", "22", "39", "40", "75", "23", "84", "25", "56", "65", "48", "28", "124", "43", "63", "44", "70", "31", "120", "40", "105", "52", "51", "32", "140", "35", "60", "91", "127", "50", "96", "37", "77", "64" ]

[ "nonn", "easy", "mult" ]

33

1

2

[ "A003962", "A003975", "A151800" ]

null

Marc LeBrun

2023-09-04T01:59:06

oeisdata/seq/A003/A003975.seq

7da69b2bd5f000c9da3c4d70612168b8

A003976

Möbius transform of A003963 (with alternate 0's omitted).

[ "1", "1", "2", "3", "2", "4", "5", "2", "6", "7", "3", "8", "6", "4", "9", "10", "4", "6", "11", "5", "12", "13", "4", "14", "12", "6", "15", "8", "7", "16", "17", "6", "10", "18", "8", "19", "20", "6", "12", "21", "8", "22", "12", "9", "23", "15", "10", "14", "24", "8", "25", "26", "6", "27", "28", "11", "29", "16", "10", "18", "20", "12", "18", "30", "13", "31", "21", "8", "32", "33", "14", "20", "18", "12", "34", "35", "12", "20" ]

[ "nonn", "easy", "mult" ]

25

1

3

[ "A000720", "A003963", "A003976" ]

null

Marc LeBrun

2023-09-04T01:59:42

oeisdata/seq/A003/A003976.seq

b5b843f64a190a25b9b6af53c6e9fea2

A003977

Inverse Möbius transform of A003963.

[ "1", "2", "3", "3", "4", "6", "5", "4", "7", "8", "6", "9", "7", "10", "12", "5", "8", "14", "9", "12", "15", "12", "10", "12", "13", "14", "15", "15", "11", "24", "12", "6", "18", "16", "20", "21", "13", "18", "21", "16", "14", "30", "15", "18", "28", "20", "16", "15", "21", "26", "24", "21", "17", "30", "24", "20", "27", "22", "18", "36", "19", "24", "35", "7", "28", "36", "20", "24", "30", "40", "21", "28", "22", "26" ]

[ "nonn", "easy", "mult" ]

17

1

2

[ "A000720", "A003963", "A003977" ]

null

Marc LeBrun

2023-09-04T01:59:54

oeisdata/seq/A003/A003977.seq

a7d1f358bacd1386d16c561edc85fb99

A003978

Möbius transform of A003964.

[ "1", "1", "2", "2", "4", "2", "6", "4", "6", "4", "10", "4", "14", "6", "8", "8", "21", "6", "29", "8", "12", "10", "41", "8", "20", "14", "18", "12", "55", "8", "76", "16", "20", "21", "24", "12", "100", "29", "28", "16", "134", "12", "175", "20", "24", "41", "230", "16", "42", "20", "42", "28", "296", "18", "40", "24", "58", "55", "384", "16", "489", "76", "36", "32", "56", "20", "626", "42", "82", "24", "791", "24" ]

[ "nonn", "easy", "mult" ]

17

1

3

[ "A000041", "A000720", "A003964", "A003978", "A003979" ]

null

Marc LeBrun

2023-09-04T02:01:25

oeisdata/seq/A003/A003978.seq

819ca1de390e2d2b1559e6882ef78ff4

A003979

Inverse Möbius transform of A003964.

[ "1", "3", "4", "7", "6", "12", "8", "15", "13", "18", "12", "28", "16", "24", "24", "31", "23", "39", "31", "42", "32", "36", "43", "60", "31", "48", "40", "56", "57", "72", "78", "63", "48", "69", "48", "91", "102", "93", "64", "90", "136", "96", "177", "84", "78", "129", "232", "124", "57", "93", "92", "112", "298", "120", "72", "120", "124", "171", "386", "168", "491", "234", "104", "127" ]

[ "nonn", "easy", "mult" ]

20

1

2

[ "A000041", "A000720", "A003964", "A003978", "A003979" ]

null

Marc LeBrun

2023-09-04T02:01:39

oeisdata/seq/A003/A003979.seq

f463333a4eaa461ca9bcc35a638c4544

A003980

Möbius transform of A003965.

[ "1", "1", "2", "2", "4", "2", "7", "4", "6", "4", "12", "4", "20", "7", "8", "8", "33", "6", "54", "8", "14", "12", "88", "8", "20", "20", "18", "14", "143", "8", "232", "16", "24", "33", "28", "12", "376", "54", "40", "16", "609", "14", "986", "24", "24", "88", "1596", "16", "56", "20", "66", "40", "2583", "18", "48", "28", "108", "143", "4180", "16", "6764", "232", "42", "32", "80", "24", "10945", "66" ]

[ "nonn", "easy", "mult" ]

25

1

3

[ "A000045", "A000720", "A003965", "A003980" ]

null

Marc LeBrun

2023-09-14T02:30:46

oeisdata/seq/A003/A003980.seq

092e354dcba817578a1f23f5770ca28c

A003981

Inverse Möbius transform of A003965.

[ "1", "3", "4", "7", "6", "12", "9", "15", "13", "18", "14", "28", "22", "27", "24", "31", "35", "39", "56", "42", "36", "42", "90", "60", "31", "66", "40", "63", "145", "72", "234", "63", "56", "105", "54", "91", "378", "168", "88", "90", "611", "108", "988", "98", "78", "270", "1598", "124", "73", "93", "140", "154", "2585", "120", "84", "135", "224", "435", "4182", "168", "6766", "702" ]

[ "nonn", "easy", "mult" ]

18

1

2

[ "A000045", "A000720", "A003965", "A003981" ]

null

Marc LeBrun

2023-09-04T02:01:53

oeisdata/seq/A003/A003981.seq

40ca56bbfc08a66778e85aee6f73cf70

A003982

Table read by rows: 1 if x = y, 0 otherwise, where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),...

[ "1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]

[ "tabl", "nonn", "nice", "easy" ]

39

0

1

[ "A000012", "A001844", "A003982", "A286100" ]

null

Marc LeBrun

2022-01-29T02:09:24

oeisdata/seq/A003/A003982.seq

021f19fa662d0466b8ccf17d650e0247

A003983

Array read by antidiagonals with T(n,k) = min(n,k).

[ "1", "1", "1", "1", "2", "1", "1", "2", "2", "1", "1", "2", "3", "2", "1", "1", "2", "3", "3", "2", "1", "1", "2", "3", "4", "3", "2", "1", "1", "2", "3", "4", "4", "3", "2", "1", "1", "2", "3", "4", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "6", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "6", "6", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "6", "7", "6", "5", "4", "3", "2", "1", "1", "2", "3", "4", "5", "6", "7", "7", "6", "5", "4", "3", "2", "1" ]

[ "tabl", "nonn", "easy", "nice" ]

54

1

5

[ "A001399", "A002620", "A003983", "A004197", "A006752", "A087062", "A115236", "A115237", "A120268", "A124258", "A173945", "A173947", "A173948", "A173949", "A173953", "A173954", "A173955", "A173973", "A173982", "A173986" ]

null

Marc LeBrun

2022-01-29T09:12:19

oeisdata/seq/A003/A003983.seq

1ee51228d612676e443f8812433cce41

A003984

Table of max(x,y), where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),...

[ "0", "1", "1", "2", "1", "2", "3", "2", "2", "3", "4", "3", "2", "3", "4", "5", "4", "3", "3", "4", "5", "6", "5", "4", "3", "4", "5", "6", "7", "6", "5", "4", "4", "5", "6", "7", "8", "7", "6", "5", "4", "5", "6", "7", "8", "9", "8", "7", "6", "5", "5", "6", "7", "8", "9", "10", "9", "8", "7", "6", "5", "6", "7", "8", "9", "10", "11", "10", "9", "8", "7", "6", "6", "7", "8", "9", "10", "11", "12", "11", "10", "9", "8", "7", "6", "7", "8", "9", "10", "11", "12", "13", "12", "11", "10", "9", "8", "7", "7", "8" ]

[ "tabl", "nonn" ]

19

0

4

[ "A001859", "A003056", "A003984", "A004197", "A051125" ]

null

Marc LeBrun

2022-02-22T00:07:51

oeisdata/seq/A003/A003984.seq

0e473462b7c8216f66b8e2a97c6cf7f8

A003985

Triangle with subscripts (1,1),(2,1),(1,2),(3,1),(2,2),(1,3), etc. in which entry (i,j) is i AND j.

[ "1", "0", "0", "1", "2", "1", "0", "2", "2", "0", "1", "0", "3", "0", "1", "0", "0", "0", "0", "0", "0", "1", "2", "1", "4", "1", "2", "1", "0", "2", "2", "4", "4", "2", "2", "0", "1", "0", "3", "4", "5", "4", "3", "0", "1", "0", "0", "0", "4", "4", "4", "4", "0", "0", "0", "1", "2", "1", "0", "5", "6", "5", "0", "1", "2", "1", "0", "2", "2", "0", "0", "6", "6", "0", "0", "2", "2", "0", "1", "0", "3", "0", "1", "0", "7", "0", "1", "0", "3", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]

[ "tabl", "nonn", "easy" ]

9

1

5

[ "A003985", "A006581" ]

null

Marc LeBrun

2012-03-30T17:38:09

oeisdata/seq/A003/A003985.seq

9f83c8aa786c6098968a2e61fd26c40c

A003986

Table T(n,k) = n OR k read by antidiagonals.

[ "0", "1", "1", "2", "1", "2", "3", "3", "3", "3", "4", "3", "2", "3", "4", "5", "5", "3", "3", "5", "5", "6", "5", "6", "3", "6", "5", "6", "7", "7", "7", "7", "7", "7", "7", "7", "8", "7", "6", "7", "4", "7", "6", "7", "8", "9", "9", "7", "7", "5", "5", "7", "7", "9", "9", "10", "9", "10", "7", "6", "5", "6", "7", "10", "9", "10", "11", "11", "11", "11", "7", "7", "7", "7", "11", "11", "11", "11", "12", "11", "10", "11", "12", "7", "6", "7", "12", "11", "10", "11", "12", "13", "13", "11" ]

[ "tabl", "nonn", "look" ]

38

0

4

[ "A003986", "A003987", "A004198", "A006583", "A075173", "A075175" ]

null

Marc LeBrun

2023-01-17T09:58:05

oeisdata/seq/A003/A003986.seq

45d447593c264977c8213691de5d1859

A003987

Table of n XOR m (or Nim-sum of n and m) read by antidiagonals with m>=0, n>=0.

[ "0", "1", "1", "2", "0", "2", "3", "3", "3", "3", "4", "2", "0", "2", "4", "5", "5", "1", "1", "5", "5", "6", "4", "6", "0", "6", "4", "6", "7", "7", "7", "7", "7", "7", "7", "7", "8", "6", "4", "6", "0", "6", "4", "6", "8", "9", "9", "5", "5", "1", "1", "5", "5", "9", "9", "10", "8", "10", "4", "2", "0", "2", "4", "10", "8", "10", "11", "11", "11", "11", "3", "3", "3", "3", "11", "11", "11", "11", "12", "10", "8", "10", "12", "2", "0", "2", "12", "10", "8", "10", "12", "13", "13", "9", "9", "13", "13", "1", "1", "13", "13", "9", "9", "13", "13" ]

[ "tabl", "nonn", "nice", "look" ]

89

0

4

[ "A001477", "A003986", "A003987", "A004198", "A004442", "A004443", "A004444", "A006582", "A051775", "A051776", "A221146" ]

null

Marc LeBrun

2025-03-17T11:35:01

oeisdata/seq/A003/A003987.seq

efde253b9ecda1c74f6cfbf88095fefd

A003988

Triangle with subscripts (1,1),(2,1),(1,2),(3,1),(2,2),(1,3), etc. in which entry (i,j) is [ i/j ].

[ "1", "2", "0", "3", "1", "0", "4", "1", "0", "0", "5", "2", "1", "0", "0", "6", "2", "1", "0", "0", "0", "7", "3", "1", "1", "0", "0", "0", "8", "3", "2", "1", "0", "0", "0", "0", "9", "4", "2", "1", "1", "0", "0", "0", "0", "10", "4", "2", "1", "1", "0", "0", "0", "0", "0", "11", "5", "3", "2", "1", "1", "0", "0", "0", "0", "0", "12", "5", "3", "2", "1", "1", "0", "0", "0", "0", "0", "0", "13", "6", "3", "2", "1", "1", "1", "0", "0", "0", "0", "0", "0", "14", "6", "4", "2", "2", "1", "1", "0", "0", "0", "0" ]

[ "tabl", "nonn", "easy", "nice" ]

32

1

2

[ "A002541", "A003056", "A003988", "A003991", "A004247", "A006218", "A010766", "A049581", "A077049" ]

null

Marc LeBrun

2023-02-01T12:27:41

oeisdata/seq/A003/A003988.seq

8383da3a234caf6596b1d21e149c6868

A003989

Triangle T from the array A(x, y) = gcd(x,y), for x >= 1, y >= 1, read by antidiagonals.

[ "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "1", "2", "3", "2", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "4", "1", "2", "1", "1", "1", "3", "1", "1", "3", "1", "1", "1", "2", "1", "2", "5", "2", "1", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "3", "4", "1", "6", "1", "4", "3", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "2", "1", "2", "7", "2", "1", "2", "1", "2", "1", "1", "1", "3", "1", "5", "3", "1", "1", "3", "5", "1", "3", "1", "1", "1", "2", "1" ]

[ "tabl", "nonn", "easy", "nice", "mult" ]

139

1

5

[ "A001088", "A003989", "A003990", "A003991", "A004198", "A006579", "A050873", "A051731", "A054431", "A054522", "A075173", "A075174", "A075175", "A075176", "A089128", "A091255", "A109004", "A109007", "A109008", "A109009", "A109010", "A109011", "A109012", "A109013", "A109014", "A109015" ]

null

Marc LeBrun

2024-11-12T02:41:42

oeisdata/seq/A003/A003989.seq

384f57f17facf2f24d9db05c15711049

A003990

Table of lcm(x,y), read along antidiagonals.

[ "1", "2", "2", "3", "2", "3", "4", "6", "6", "4", "5", "4", "3", "4", "5", "6", "10", "12", "12", "10", "6", "7", "6", "15", "4", "15", "6", "7", "8", "14", "6", "20", "20", "6", "14", "8", "9", "8", "21", "12", "5", "12", "21", "8", "9", "10", "18", "24", "28", "30", "30", "28", "24", "18", "10", "11", "10", "9", "8", "35", "6", "35", "8", "9", "10", "11", "12", "22", "30", "36", "40", "42", "42", "40", "36", "30", "22", "12", "13", "12", "33", "20", "45", "24" ]

[ "tabl", "nonn", "easy", "nice", "look" ]

34

1

2

[ "A002260", "A003986", "A003989", "A003990", "A003991", "A006580", "A051173", "A075173", "A075174", "A075175", "A075176" ]

null

Marc LeBrun

2018-04-01T18:10:19

oeisdata/seq/A003/A003990.seq

400b291a9e7b12196cb39644a3a85094

A003991

Multiplication table read by antidiagonals: T(i,j) = i*j, i>=1, j>=1.

[ "1", "2", "2", "3", "4", "3", "4", "6", "6", "4", "5", "8", "9", "8", "5", "6", "10", "12", "12", "10", "6", "7", "12", "15", "16", "15", "12", "7", "8", "14", "18", "20", "20", "18", "14", "8", "9", "16", "21", "24", "25", "24", "21", "16", "9", "10", "18", "24", "28", "30", "30", "28", "24", "18", "10", "11", "20", "27", "32", "35", "36", "35", "32", "27", "20", "11", "12", "22", "30", "36", "40", "42", "42", "40", "36", "30", "22", "12" ]

[ "tabl", "nonn", "nice", "easy", "look" ]

184

1

2

[ "A000290", "A000292", "A000442", "A002260", "A002620", "A003056", "A003989", "A003990", "A003991", "A004247", "A027424", "A033638", "A049581", "A051776", "A059895", "A059896", "A059897", "A067138", "A091257", "A325821", "A331590", "A341520", "A350066" ]

null

Marc LeBrun

2024-07-03T14:33:45

oeisdata/seq/A003/A003991.seq

aa9c878131b4b471586913606ffae2a1

A003992

Square array read by upwards antidiagonals: T(n,k) = n^k for n >= 0, k >= 0.

[ "1", "1", "0", "1", "1", "0", "1", "2", "1", "0", "1", "3", "4", "1", "0", "1", "4", "9", "8", "1", "0", "1", "5", "16", "27", "16", "1", "0", "1", "6", "25", "64", "81", "32", "1", "0", "1", "7", "36", "125", "256", "243", "64", "1", "0", "1", "8", "49", "216", "625", "1024", "729", "128", "1", "0", "1", "9", "64", "343", "1296", "3125", "4096", "2187", "256", "1", "0", "1", "10", "81", "512", "2401", "7776", "15625", "16384", "6561", "512", "1", "0" ]

[ "easy", "nice", "nonn", "tabl" ]

50

0

8

[ "A000007", "A000012", "A000079", "A000169", "A000244", "A000272", "A000290", "A000302", "A000312", "A000351", "A000400", "A000420", "A000578", "A000583", "A000584", "A001014", "A001015", "A001016", "A001017", "A001018", "A001019", "A001020", "A001021", "A001022", "A001023", "A001024", "A001025", "A001026", "A001027", "A001029", "A001477", "A003992", "A004248", "A007778", "A008454", "A008455", "A008456", "A008788", "A009964", "A009992", "A009999", "A010801", "A010813", "A011557", "A026898", "A051128", "A087752", "A089081", "A095884", "A099555", "A277504", "A293500" ]

null

Marc LeBrun

2022-09-08T08:44:32

oeisdata/seq/A003/A003992.seq

119f8be32a31af9b841b6b79d4f50f5f

A003993

Sequence b_3 (n) arising from homology of partitions with even number of blocks.

[ "2", "12", "46", "152", "474", "1444", "4358", "13104", "39346", "118076", "354270", "1062856", "3188618", "9565908", "28697782", "86093408", "258280290", "774840940", "2324522894", "6973568760", "20920706362", "62762119172", "188286357606", "564859072912", "1694577218834", "5083731656604", "15251194969918" ]

[ "nonn", "easy" ]

22

2

1

[ "A003993", "A003994" ]

null

Sheila Sundaram (sheila(AT)paris-gw.cs.miami.edu)

2024-08-05T14:02:38

oeisdata/seq/A003/A003993.seq

6fea77b2c4835866fae0d7ed7b4fcca9

A003994

Sequence b_4 (n) arising from homology of partitions with even number of blocks.

[ "6", "138", "1452", "11444", "78642", "502846", "3089624", "18559208", "110049502", "647720562", "3796113284", "22194147996", "129581349642", "755982695718", "4408534120368", "25702339082192", "149828229039030", "873339353640538", "5090437245730652" ]

[ "nonn" ]

29

3

1

[ "A003993", "A003994" ]

null

Sheila Sundaram (sheila(AT)paris-gw.cs.miami.edu)

2024-08-05T14:01:40

oeisdata/seq/A003/A003994.seq

cda5dcd3e90f67f6f31d145f4d2dfeca

A003995

Sum of (any number of) distinct squares: of form r^2 + s^2 + t^2 + ... with 0 <= r < s < t < ...

[ "0", "1", "4", "5", "9", "10", "13", "14", "16", "17", "20", "21", "25", "26", "29", "30", "34", "35", "36", "37", "38", "39", "40", "41", "42", "45", "46", "49", "50", "51", "52", "53", "54", "55", "56", "57", "58", "59", "61", "62", "63", "64", "65", "66", "68", "69", "70", "71", "73", "74", "75", "77", "78", "79", "80", "81", "82", "83", "84", "85", "86", "87", "88", "89", "90", "91", "93", "94", "95", "97" ]

[ "nonn", "easy", "nice" ]

39

1

3

[ "A000290", "A001422", "A001983", "A003995", "A004431", "A004432", "A004433", "A004434", "A008935", "A033461", "A224981", "A224982", "A224983" ]

null

N. J. A. Sloane

2025-01-14T23:08:53

oeisdata/seq/A003/A003995.seq

e47e0cd1e0b55969a2eeab2c613a5d7b

A003996

Sums of distinct nonzero squares in more than one way.

[ "25", "26", "29", "30", "41", "45", "46", "49", "50", "53", "54", "61", "62", "65", "66", "69", "70", "74", "75", "77", "78", "79", "81", "82", "84", "85", "86", "87", "89", "90", "91", "93", "94", "95", "98", "99", "100", "101", "102", "103", "104", "105", "106", "107", "109", "110", "111", "113", "114", "115", "116", "117", "118", "119", "120", "121", "122", "123" ]

[ "nonn" ]

24

1

[ "A003995", "A003996", "A033461" ]

null

N. J. A. Sloane

2023-10-24T06:12:54

oeisdata/seq/A003/A003996.seq

7f853b641a3aeee44005455f818008cb

A003997

Sums of distinct positive cubes.

[ "1", "8", "9", "27", "28", "35", "36", "64", "65", "72", "73", "91", "92", "99", "100", "125", "126", "133", "134", "152", "153", "160", "161", "189", "190", "197", "198", "216", "217", "224", "225", "243", "244", "251", "252", "280", "281", "288", "289", "307", "308", "315", "316", "341", "342", "343", "344", "349", "350", "351", "352", "368", "369", "370", "371" ]

[ "nonn", "easy" ]

51

1

2

[ "A001476", "A003995", "A003997" ]

null

N. J. A. Sloane

2023-10-24T06:10:47

oeisdata/seq/A003/A003997.seq

49662cd04c9c017b7e650cd827628c86

A003998

Numbers that are a sum of distinct positive cubes in more than one way.

[ "216", "217", "224", "225", "540", "559", "560", "567", "568", "728", "729", "736", "737", "756", "757", "764", "793", "801", "820", "828", "854", "855", "862", "863", "881", "882", "889", "890", "918", "919", "926", "927", "945", "946", "953", "954", "980", "981", "1008", "1009", "1036", "1044", "1045", "1071", "1072", "1073", "1079", "1080" ]

[ "nonn", "easy", "nice" ]

33

1

[ "A001239", "A003998" ]

null

N. J. A. Sloane

2016-01-01T17:29:34

oeisdata/seq/A003/A003998.seq

fbf0cbfcb10c544005eda38117f66f0a

A003999

Sums of distinct nonzero 4th powers.

[ "1", "16", "17", "81", "82", "97", "98", "256", "257", "272", "273", "337", "338", "353", "354", "625", "626", "641", "642", "706", "707", "722", "723", "881", "882", "897", "898", "962", "963", "978", "979", "1296", "1297", "1312", "1313", "1377", "1378", "1393", "1394", "1552", "1553", "1568", "1569", "1633", "1634", "1649", "1650", "1921", "1922" ]

[ "nonn", "easy" ]

48

1

2

[ "A001661", "A003995", "A003997", "A003999", "A046039", "A194768", "A194769", "A217844", "A332065", "A364637" ]

null

N. J. A. Sloane

2023-10-24T07:04:30

oeisdata/seq/A003/A003999.seq

4b3d1eabfcc35a15832711320b851d7d

A004000

RATS: Reverse Add Then Sort the digits applied to previous term, starting with 1.

[ "1", "2", "4", "8", "16", "77", "145", "668", "1345", "6677", "13444", "55778", "133345", "666677", "1333444", "5567777", "12333445", "66666677", "133333444", "556667777", "1233334444", "5566667777", "12333334444", "55666667777", "123333334444", "556666667777", "1233333334444", "5566666667777", "12333333334444" ]

[ "base", "nonn", "nice", "easy" ]

62

1

2

[ "A004000", "A036839", "A066710", "A066711", "A066713", "A114611", "A114612", "A161593", "A164338", "A209878", "A209879", "A209880" ]

[ "M1137" ]

N. J. A. Sloane

2025-02-16T08:32:27

oeisdata/seq/A004/A004000.seq

877cf68f4ba3ef4f41ce2fd94ffb41b0