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
A004301	Second-order Eulerian numbers <<n,2>>.	[ "0", "6", "58", "328", "1452", "5610", "19950", "67260", "218848", "695038", "2170626", "6699696", "20507988", "62407890", "189123286", "571432036", "1722945672", "5187185766", "15600353130", "46882846680", "140820504700", "422822222266", "1269221639358", "3809241974028", "11431014253872", "34299887862990" ]	[ "nonn", "easy" ]	41	2	2	[ "A004301", "A008517", "A163936", "A201637" ]	[ "M4265" ]	N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v	2019-02-27T20:56:41	oeisdata/seq/A004/A004301.seq	c9576cf0dba2788752921a0292d47aa1
A004302	a(n) = n^2(n+1)^2(n+2)/12.	[ "0", "1", "12", "60", "200", "525", "1176", "2352", "4320", "7425", "12100", "18876", "28392", "41405", "58800", "81600", "110976", "148257", "194940", "252700", "323400", "409101", "512072", "634800", "780000", "950625", "1149876", "1381212", "1648360", "1955325", "2306400", "2706176", "3159552", "3671745", "4248300", "4895100" ]	[ "nonn", "easy" ]	90	0	3	[ "A000217", "A000292", "A004302", "A096948", "A103252", "A103371" ]	null	N. J. A. Sloane	2025-03-12T08:06:41	oeisdata/seq/A004/A004302.seq	2717bc4acfad720656eda91ee926fb3f
A004303	a(n) = binomial(2*n-2,n-1)/n - 2^(n-1) + n.	[ "1", "1", "1", "1", "3", "16", "75", "309", "1183", "4360", "15783", "56750", "203929", "734722", "2658071", "9662093", "35292151", "129513736", "477376575", "1766738922", "6563071865", "24464169890", "91478369359", "343051225066", "1289887370133", "4861912847046", "18367285963315", "69533416698304" ]	[ "nonn" ]	41	1	5	null	[ "M3015" ]	N. J. A. Sloane	2023-10-24T23:15:05	oeisdata/seq/A004/A004303.seq	9ab8aadbbbdc4fada57f1db47492d148
A004304	Number of nonseparable planar tree-rooted maps with n edges.	[ "1", "2", "2", "6", "28", "160", "1036", "7294", "54548", "426960", "3463304", "28910816", "247104976", "2154192248", "19097610480", "171769942086", "1564484503044", "14407366963440", "133978878618904", "1256799271555872", "11881860129979440" ]	[ "nonn" ]	30	0	2	[ "A000264", "A004304", "A005568", "A168450", "A168451", "A168452" ]	[ "M0364" ]	N. J. A. Sloane	2020-03-28T10:13:01	oeisdata/seq/A004/A004304.seq	edd25972d1545feca1f32317c3eedc70
A004305	Simple triangulations of a disk: column 4 of square array in A210664.	[ "3", "22", "85", "254", "644", "1448", "2967", "5645", "10109", "17214", "28093", "44212", "67430", "100064", "144959", "205563", "286007", "391190", "526869", "699754", "917608", "1189352", "1525175", "1936649", "2436849", "3040478", "3763997", "4625760", "5646154", "6847744", "8255423", "9896567", "11801195", "14002134", "16535189", "19439318", "22756812", "26533480", "30818839" ]	[ "nonn" ]	28	0	1	[ "A004305", "A210664" ]	[ "M3091" ]	N. J. A. Sloane	2024-05-19T08:04:33	oeisdata/seq/A004/A004305.seq	bbe48660674f5621081738a9d11a8e95
A004306	Rook polynomials.	[ "1", "1", "2", "6", "24", "44", "80", "144", "264", "484", "888", "1632", "3000", "5516", "10144", "18656", "34312", "63108", "116072", "213488", "392664", "722220", "1328368", "2443248", "4493832", "8265444", "15202520", "27961792", "51429752", "94594060", "173985600", "320009408", "588589064", "1082584068", "1991182536" ]	[ "nonn", "easy", "nice" ]	48	0	3	[ "A000803", "A001644", "A004306", "A008305" ]	[ "M1670" ]	N. J. A. Sloane	2024-07-05T18:29:36	oeisdata/seq/A004/A004306.seq	c080fe231524e8801e8b8a869e857cce
A004307	Number of permutations p of [n] such that (n-p(i)+i) mod n >= 4 for all i.	[ "0", "1", "2", "31", "264", "2783", "30818", "369321", "4745952", "65275999", "957874226", "14951584189", "247524019720", "4334022049377", "80052395326514", "1555999253409203", "31755107852542144", "679008663143893773", "15182701602959054546", "354364531995856105099", "8618865446674052425224" ]	[ "nonn" ]	43	4	3	[ "A004307", "A008305" ]	[ "M2154" ]	N. J. A. Sloane	2023-10-25T16:16:31	oeisdata/seq/A004/A004307.seq	d872b60227566a1258986aee79cc4e08
A004308	Hit polynomials, coefficient of y in N_n(y).	[ "0", "0", "24", "154", "1664", "15984", "173000", "2004486", "25086336", "337215372", "4852472744", "74473953570", "1214929163904", "21000334935308", "383498204201496", "7379028867234934", "149233618755354240", "3165087929247599208", "70251457394397108280" ]	[ "nonn" ]	18	4	3	null	[ "M5149" ]	N. J. A. Sloane	2023-10-24T21:52:47	oeisdata/seq/A004/A004308.seq	047a0abf646cdc5ddc08ec0ec065cdf2
A004309	Hit polynomials, coefficient of y^2 in N_n(y).	[ "0", "10", "60", "595", "4512", "44802", "457040", "5159517", "62939040", "829049884", "11727029860", "177384144795", "2857827179200", "48865616001564", "883930234491000", "16866107046572417", "338568863790331200", "7132984247370166710", "157374949769998613708" ]	[ "nonn" ]	17	4	2	null	[ "M4720" ]	N. J. A. Sloane	2023-10-24T21:52:32	oeisdata/seq/A004/A004309.seq	2fe60fa78f1eee33069eb2bdf08c12b5
A004310	Binomial coefficient C(2n,n-4).	[ "1", "10", "66", "364", "1820", "8568", "38760", "170544", "735471", "3124550", "13123110", "54627300", "225792840", "927983760", "3796297200", "15471286560", "62852101650", "254661927156", "1029530696964", "4154246671960", "16735679449896", "67327446062800", "270533919634160", "1085929983159840", "4355031703297275" ]	[ "nonn", "easy" ]	66	4	2	[ "A001622", "A004310", "A100257" ]	null	N. J. A. Sloane	2025-01-13T04:58:39	oeisdata/seq/A004/A004310.seq	77672ec2556d5d8a89dfd27da39186fc
A004311	Binomial coefficient C(2n,n-5).	[ "1", "12", "91", "560", "3060", "15504", "74613", "346104", "1562275", "6906900", "30045015", "129024480", "548354040", "2310789600", "9669554100", "40225345056", "166509721602", "686353797976", "2818953098830", "11541847896480", "47129212243960", "191991813933920", "780512175396135", "3167295784216200" ]	[ "nonn", "easy" ]	55	5	2	[ "A001622", "A004311", "A100257" ]	null	N. J. A. Sloane	2024-04-24T12:53:36	oeisdata/seq/A004/A004311.seq	62b28979a34dda77d420837dcfdd56b4
A004312	Binomial coefficient C(2n,n-6).	[ "1", "14", "120", "816", "4845", "26334", "134596", "657800", "3108105", "14307150", "64512240", "286097760", "1251677700", "5414950296", "23206929840", "98672427616", "416714805914", "1749695026860", "7309837001104", "30405943383200", "125994627894135", "520341450264090", "2142582442263900", "8799226775309880" ]	[ "nonn", "easy" ]	45	6	2	[ "A001622", "A004312", "A100257" ]	null	N. J. A. Sloane	2023-10-23T11:25:38	oeisdata/seq/A004/A004312.seq	65c85340f23296dea0c8e125a7889424
A004313	a(n) = binomial coefficient C(2n, n-7).	[ "1", "16", "153", "1140", "7315", "42504", "230230", "1184040", "5852925", "28048800", "131128140", "600805296", "2707475148", "12033222880", "52860229080", "229911617056", "991493848554", "4244421484512", "18053528883775", "76360380541900", "321387366339585", "1346766106565880", "5621728217559090" ]	[ "nonn", "easy" ]	39	7	2	[ "A001622", "A004313", "A100257" ]	null	N. J. A. Sloane	2023-10-23T11:26:03	oeisdata/seq/A004/A004313.seq	792da8540a1c9e5ac051b89ef4439efa
A004314	a(n) = binomial coefficient C(2n, n - 8).	[ "1", "18", "190", "1540", "10626", "65780", "376740", "2035800", "10518300", "52451256", "254186856", "1203322288", "5586853480", "25518731280", "114955808528", "511738760544", "2254848913647", "9847379391150", "42671977361650", "183649923622620", "785613562163430", "3342649210440540", "14154280149473100" ]	[ "nonn", "easy" ]	43	8	2	[ "A001622", "A004314" ]	null	N. J. A. Sloane	2023-10-23T11:30:37	oeisdata/seq/A004/A004314.seq	f761a3817b704352847e42e11e3b60dd
A004315	a(n) = binomial coefficient C(2n, n-9).	[ "1", "20", "231", "2024", "14950", "98280", "593775", "3365856", "18156204", "94143280", "472733756", "2311801440", "11058116888", "51915526432", "239877544005", "1093260079344", "4923689695575", "21945588357420", "96926348578605", "424655979547800", "1847253511032930", "7984465725343800", "34315056105966195" ]	[ "nonn", "easy" ]	36	9	2	[ "A001622", "A004315" ]	null	N. J. A. Sloane	2023-10-23T11:27:23	oeisdata/seq/A004/A004315.seq	edd5a1f937be1cf5c283e711426cfc34
A004316	a(n) = binomial coefficient C(2n, n-10).	[ "1", "22", "276", "2600", "20475", "142506", "906192", "5379616", "30260340", "163011640", "847660528", "4280561376", "21090682613", "101766230790", "482320623240", "2250829575120", "10363194502115", "47153358767970", "212327989773900", "947309492837400", "4191844505805495", "18412956934908690", "80347448443237920" ]	[ "nonn", "easy" ]	38	10	2	[ "A001622", "A004316" ]	null	N. J. A. Sloane	2025-01-13T05:00:20	oeisdata/seq/A004/A004316.seq	3ecae59a872a048ca6f38ee4b867bbaf
A004317	Binomial coefficient C(2n,n-11).	[ "1", "24", "325", "3276", "27405", "201376", "1344904", "8347680", "48903492", "273438880", "1471442973", "7669339132", "38910617655", "192928249296", "937845656300", "4481381406320", "21094923659355", "97997533741800", "449972009097765", "2044802197953900", "9206478467454345", "41107996877935680" ]	[ "nonn", "easy" ]	35	11	2	[ "A001622", "A004317" ]	null	N. J. A. Sloane	2023-10-23T11:56:44	oeisdata/seq/A004/A004317.seq	567c5a989186553067b44925185f1881
A004318	Binomial coefficient C(2n,n-12).	[ "1", "26", "378", "4060", "35960", "278256", "1947792", "12620256", "76904685", "445891810", "2481256778", "13340783196", "69668534468", "354860518600", "1768966344600", "8654327655120", "41648951840265", "197548686920970", "925029565741050", "4282083008118300", "19619725782651120", "89067326568860640" ]	[ "nonn", "easy" ]	35	12	2	[ "A001622", "A004318" ]	null	N. J. A. Sloane	2025-01-13T05:01:42	oeisdata/seq/A004/A004318.seq	5a118b852b97f4aafd4c5ac2c16eb564
A004319	a(n) = binomial(3*n, n - 1).	[ "1", "6", "36", "220", "1365", "8568", "54264", "346104", "2220075", "14307150", "92561040", "600805296", "3910797436", "25518731280", "166871334960", "1093260079344", "7174519270695", "47153358767970", "310325523515700", "2044802197953900", "13488561475572645", "89067326568860640", "588671286046028640" ]	[ "nonn", "easy" ]	79	1	2	[ "A000139", "A001764", "A001791", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382", "A005809", "A006013", "A013698", "A025174", "A045721", "A117671", "A165817", "A236194" ]	null	N. J. A. Sloane	2024-02-23T08:04:32	oeisdata/seq/A004/A004319.seq	9de097339fa4da3a77c5af0410a373c9
A004320	a(n) = n(n+1)(n+2)^2/6.	[ "0", "3", "16", "50", "120", "245", "448", "756", "1200", "1815", "2640", "3718", "5096", "6825", "8960", "11560", "14688", "18411", "22800", "27930", "33880", "40733", "48576", "57500", "67600", "78975", "91728", "105966", "121800", "139345", "158720", "180048", "203456", "229075", "257040", "287490", "320568", "356421", "395200" ]	[ "nonn", "easy" ]	94	0	2	[ "A000217", "A000332", "A004320", "A016061", "A047929", "A096948", "A233440" ]	null	N. J. A. Sloane	2024-01-20T20:22:38	oeisdata/seq/A004/A004320.seq	60b7d2a25c50544c05074d266b0be199
A004321	Binomial coefficient C(3n, n-3).	[ "1", "12", "105", "816", "5985", "42504", "296010", "2035800", "13884156", "94143280", "635745396", "4280561376", "28760021745", "192928249296", "1292706174900", "8654327655120", "57902201338905", "387221678682300", "2588713818544245" ]	[ "nonn", "easy" ]	43	3	2	[ "A000027", "A002694", "A004321", "A004334", "A004347", "A004361", "A004375", "A004389", "A281580" ]	null	N. J. A. Sloane	2025-01-14T10:34:57	oeisdata/seq/A004/A004321.seq	21a19ad5fd6ab23568f7412413a2cd30
A004322	Binomial coefficient C(3n,n-4).	[ "1", "15", "153", "1330", "10626", "80730", "593775", "4272048", "30260340", "211915132", "1471442973", "10150595910", "69668534468", "476260169700", "3245372870670", "22057981462440", "149608375854525", "1012974972473835", "6848956078664700", "46252743903616536", "312049055023946856", "2103535234151144200" ]	[ "nonn", "easy" ]	19	4	2	null	null	N. J. A. Sloane	2025-01-13T07:05:44	oeisdata/seq/A004/A004322.seq	4f80c890659f151da4492c88f3ad8a0c
A004323	Binomial coefficient C(3n,n-5).	[ "1", "18", "210", "2024", "17550", "142506", "1107568", "8347680", "61523748", "445891810", "3190187286", "22595200368", "158753389900", "1108176102180", "7694644696200", "53194089192720", "366395202809685", "2515943049305400", "17231414395464984" ]	[ "nonn", "easy" ]	27	5	2	null	null	N. J. A. Sloane	2025-01-13T05:06:27	oeisdata/seq/A004/A004323.seq	2304fb11b135693634d83d2c9783cdce
A004324	Binomial coefficient C(3n,n-6).	[ "1", "21", "276", "2925", "27405", "237336", "1947792", "15380937", "118030185", "886163135", "6540715896", "47626016970", "343006888770", "2448296039700", "17345898649800", "122131734269895", "855420636763836", "5964720367660956" ]	[ "nonn", "easy" ]	18	6	2	null	null	N. J. A. Sloane	2025-01-13T05:07:58	oeisdata/seq/A004/A004324.seq	e197cec9d614dc42ed6b71a00742d57c
A004325	Binomial coefficient C(3n,n-7).	[ "1", "24", "351", "4060", "40920", "376992", "3262623", "26978328", "215553195", "1677106640", "12777711870", "95722852680", "707285522580", "5166863427600", "37387265592825", "268367258592576", "1913212193400684", "13559593014190944" ]	[ "nonn", "easy" ]	15	7	2	null	null	N. J. A. Sloane	2021-12-26T20:55:28	oeisdata/seq/A004/A004325.seq	f345ca17534b62df69ae3c46ad616a73
A004326	Binomial coefficient C(3n,n-8).	[ "1", "27", "435", "5456", "58905", "575757", "5245786", "45379620", "377348994", "3042312350", "23930713170", "184509266760", "1399358844975", "10468434365991", "77413632286320", "566877686933536", "4116305022165108", "29673694525643100", "212566476905162380", "1514334254464231200", "10735998891545372445" ]	[ "nonn", "easy" ]	21	8	2	null	null	N. J. A. Sloane	2025-01-13T07:05:27	oeisdata/seq/A004/A004326.seq	c198c69ac33d0cba09740dce135182a4
A004327	Binomial coefficient C(3n,n-9).	[ "1", "30", "528", "7140", "82251", "850668", "8145060", "73629072", "636763050", "5317936260", "43183019880", "342700125300", "2668424446233", "20448884000160", "154603005527328", "1155454041309504", "8550047575185300", "62724534168736440" ]	[ "nonn", "easy" ]	20	9	2	null	null	N. J. A. Sloane	2025-01-13T05:38:33	oeisdata/seq/A004/A004327.seq	9c1fc4e6d557f5c2852718aede9301ba
A004328	Binomial coefficient C(3n,n-10).	[ "1", "33", "630", "9139", "111930", "1221759", "12271512", "115775100", "1040465790", "8996462475", "75394027566", "615790256823", "4922879481520", "38650751381832", "298824321028320", "2280012686716080", "17198662594653540", "128447994798305325", "950974260789566790", "6986635329170796075", "50980740277700939310" ]	[ "nonn", "easy" ]	21	10	2	null	null	N. J. A. Sloane	2025-01-13T07:24:11	oeisdata/seq/A004/A004328.seq	19f62a433be8c83a03c5d587b9f78dc4
A004329	Binomial coefficient C(3n,n-11).	[ "1", "36", "741", "11480", "148995", "1712304", "18009460", "177100560", "1652411475", "14783142660", "127805525001", "1074082795968", "8815083648488", "70907466006720", "560658857389200", "4367914309753280", "33594090947249085", "255485622301674660", "1923856105133987325", "14360771909211532200" ]	[ "nonn", "easy" ]	28	11	2	null	null	N. J. A. Sloane	2025-01-14T01:53:10	oeisdata/seq/A004/A004329.seq	68002f4a8e932d969a5877925b235827
A004330	Binomial coefficient C(3n,n-12).	[ "1", "39", "861", "14190", "194580", "2349060", "25827165", "264385836", "2558620845", "23667689815", "210980549208", "1823810410032", "15363284301456", "126600387152400", "1023729916348425", "8144022047817960", "63871405575418665", "494705855605882455", "3789648142708598775", "28747684924884976050" ]	[ "nonn", "easy" ]	30	12	2	null	null	N. J. A. Sloane	2025-01-14T01:53:15	oeisdata/seq/A004/A004330.seq	6f5c1ce6c70e4089315b1fcd13703822
A004331	Binomial coefficient C(4n,n-1).	[ "1", "8", "66", "560", "4845", "42504", "376740", "3365856", "30260340", "273438880", "2481256778", "22595200368", "206379406870", "1889912732400", "17345898649800", "159518999862720", "1469568786235308", "13559593014190944", "125288932441604200" ]	[ "nonn", "easy" ]	37	1	2	[ "A001791", "A002293", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382", "A005810", "A052203", "A224274", "A257633", "A262977" ]	null	N. J. A. Sloane	2025-03-19T08:44:36	oeisdata/seq/A004/A004331.seq	3ecc2f0e7f23492ea2fe4cff1dfe3b4f
A004332	a(n) = C(4n,n-2).	[ "1", "12", "120", "1140", "10626", "98280", "906192", "8347680", "76904685", "708930508", "6540715896", "60403728840", "558383307300", "5166863427600", "47855699958816", "443643407165376", "4116305022165108", "38223742100828400", "355214207837288800" ]	[ "nonn", "easy" ]	34	2	2	[ "A002293", "A004332" ]	null	N. J. A. Sloane	2023-10-25T07:42:09	oeisdata/seq/A004/A004332.seq	2364cd8ebad76d624ce47cbc5f415416
A004333	Binomial coefficient C(4n,n-3).	[ "1", "16", "190", "2024", "20475", "201376", "1947792", "18643560", "177232627", "1677106640", "15820024220", "148902215280", "1399358844975", "13136858812224", "123234279768160", "1155454041309504", "10830060261901380", "101489773667796800" ]	[ "nonn", "easy" ]	24	3	2	null	null	N. J. A. Sloane	2025-03-19T08:46:04	oeisdata/seq/A004/A004333.seq	f2697aed5de0fdd5e9f06025165b2776
A004334	Binomial coefficient C(4n,n-4).	[ "1", "20", "276", "3276", "35960", "376992", "3838380", "38320568", "377348994", "3679075400", "35607051480", "342700125300", "3284214703056", "31368725759168", "298824321028320", "2840671544105280", "26958221130508525", "255485622301674660" ]	[ "nonn", "easy", "changed" ]	38	4	2	[ "A000027", "A002694", "A004321", "A004334", "A004347", "A004361", "A004375", "A004389", "A281580" ]	null	N. J. A. Sloane	2025-04-25T14:39:44	oeisdata/seq/A004/A004334.seq	cbefbf3dbd82a773c6c3afa820569374
A004335	Binomial coefficient C(4n,n-5).	[ "1", "24", "378", "4960", "58905", "658008", "7059052", "73629072", "752538150", "7575968400", "75394027566", "743595781824", "7282025622664", "70907466006720", "687259244541600", "6635869816740560", "63871405575418665", "613156553427009240", "5873182941643167150", "56151322242892212960", "535983370403809682970" ]	[ "nonn", "easy" ]	20	5	2	null	null	N. J. A. Sloane	2025-01-13T07:06:10	oeisdata/seq/A004/A004335.seq	a091a84587a3388a8c8f0f54b99ba3d8
A004336	Binomial coefficient C(4n,n-6).	[ "1", "28", "496", "7140", "91390", "1086008", "12271512", "133784560", "1420494075", "14783142660", "151473214816", "1533058025824", "15363284301456", "152724276564800", "1508152231077400", "14810760713140560", "144773075114710515" ]	[ "nonn", "easy" ]	18	6	2	null	null	N. J. A. Sloane	2025-03-19T08:49:00	oeisdata/seq/A004/A004336.seq	8da7055da70db247691601ffcc3d0011
A004337	Binomial coefficient C(4n,n-7).	[ "1", "32", "630", "9880", "135751", "1712304", "20358520", "231917400", "2558620845", "27540584512", "290752384208", "3022285436352", "31022118677225", "315136287090800", "3173734438530120", "31731084956648880", "315297189498738447" ]	[ "nonn", "easy" ]	19	7	2	null	null	N. J. A. Sloane	2025-03-19T08:50:09	oeisdata/seq/A004/A004337.seq	dff8052da6e5e07d0eaa8d8ae2d8ee47
A004338	Binomial coefficient C(4n,n-8).	[ "1", "36", "780", "13244", "194580", "2598960", "32468436", "386206920", "4426165368", "49280065120", "536211932256", "5727160371180", "60246643120300", "625806790696080", "6431976680401800", "65516299116620976", "662252084388541314" ]	[ "nonn", "easy" ]	18	8	2	null	null	N. J. A. Sloane	2025-03-19T08:51:23	oeisdata/seq/A004/A004338.seq	09b0015b5da0763e2df3ce2caa6493ca
A004339	Binomial coefficient C(4n,n-9).	[ "1", "40", "946", "17296", "270725", "3819816", "50063860", "621216192", "7392009768", "85113005120", "954526728530", "10477677064400", "112992892764570", "1200635647008336", "12599288291657880", "130815226545884704" ]	[ "nonn", "easy" ]	18	9	2	null	null	N. J. A. Sloane	2025-03-19T08:52:34	oeisdata/seq/A004/A004339.seq	b9e6bd7af9134c7f17ef3364c0836cca
A004340	Binomial coefficient C(4n,n-10).	[ "1", "44", "1128", "22100", "367290", "5461512", "74974368", "969443904", "11969016345", "142466675900", "1646492110120", "18574174153080", "205371886988268", "2232785266876080", "23929614612052080", "253338471349988640" ]	[ "nonn", "easy" ]	16	10	2	null	null	N. J. A. Sloane	2025-03-19T08:59:20	oeisdata/seq/A004/A004340.seq	c5649a033dbf97d2e397b2fcbddae9d9
A004341	Binomial coefficient C(4n,n-11).	[ "1", "48", "1326", "27720", "487635", "7624512", "109453344", "1473109704", "18855883575", "231900297200", "2761025887620", "32006008361808", "362827605867363", "4036320536972640", "44186942677323600", "477092811067148640" ]	[ "nonn", "easy" ]	18	11	2	null	null	N. J. A. Sloane	2025-03-19T09:00:21	oeisdata/seq/A004/A004341.seq	4d079580be5a98373c1bec4a48a9409b
A004342	Binomial coefficient C(4n, n-12).	[ "1", "52", "1540", "34220", "635376", "10424128", "156238908", "2186189400", "28987537150", "368136785016", "4513667845896", "53752237906276", "624668654531480", "7110542499799200", "79515468511191440", "875691012480893280" ]	[ "nonn", "easy" ]	19	12	2	null	null	N. J. A. Sloane	2025-03-19T09:01:30	oeisdata/seq/A004/A004342.seq	eebb80a3b50a2a4c2e13229bedcf8bc5
A004343	Binomial coefficient C(5n,n-1).	[ "1", "10", "105", "1140", "12650", "142506", "1623160", "18643560", "215553195", "2505433700", "29248649430", "342700125300", "4027810484880", "47465835030320", "560658857389200", "6635869816740560", "78682166288559225", "934433788613079150" ]	[ "nonn", "easy" ]	22	1	2	[ "A001791", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382" ]	null	N. J. A. Sloane	2024-07-22T15:20:46	oeisdata/seq/A004/A004343.seq	5803eed201a60f475f469c96009dc34d
A004344	Binomial coefficient C(5n+10,n).	[ "1", "15", "190", "2300", "27405", "324632", "3838380", "45379620", "536878650", "6358402050", "75394027566", "895068996640", "10638894058520", "126600387152400", "1508152231077400", "17984495151670680", "214667221708410075", "2564603660132096265", "30664510802988208300", "366934961273420740200" ]	[ "nonn", "easy" ]	16	0	2	[ "A004344", "A233738" ]	null	N. J. A. Sloane	2025-03-19T09:03:04	oeisdata/seq/A004/A004344.seq	1fc7807e98d2ca23363e2053ed2265af
A004345	Binomial coefficient C(5n,n-3).	[ "1", "20", "300", "4060", "52360", "658008", "8145060", "99884400", "1217566350", "14783142660", "179013799328", "2163842859360", "26123889412400", "315136287090800", "3799541229226200", "45795673964460816", "551876736990451095" ]	[ "nonn", "easy" ]	13	3	2	null	null	N. J. A. Sloane	2025-03-19T09:04:13	oeisdata/seq/A004/A004345.seq	bdebb6dad207d995b3c066d05a2875bb
A004346	Binomial coefficient C(5n,n-4).	[ "1", "25", "435", "6545", "91390", "1221759", "15890700", "202927725", "2558620845", "31966749880", "396704524216", "4898229264825", "60246643120300", "738799683460650", "9038619861406740", "110375347398090219", "1345860629046814650" ]	[ "nonn", "easy" ]	11	4	2	null	null	N. J. A. Sloane	2025-03-19T09:10:50	oeisdata/seq/A004/A004346.seq	6ff4e972b230c9e3c2df370a86c730de
A004347	Binomial coefficient C(5n,n-5).	[ "1", "30", "595", "9880", "148995", "2118760", "28989675", "386206920", "5047381560", "65033528560", "828931106355", "10477677064400", "131567066917650", "1643385429346680", "20439879147794485", "253338471349988640" ]	[ "nonn", "easy" ]	24	5	2	null	null	N. J. A. Sloane	2025-03-19T09:12:22	oeisdata/seq/A004/A004347.seq	486f58e0dab30b7d7d7c33026fcb36bb
A004348	Binomial coefficient C(5n, n-6).	[ "1", "35", "780", "14190", "230300", "3478761", "50063860", "696190560", "9440350920", "125595622175", "1646492110120", "21335200040700", "273897571557780", "3489735464257595", "44186942677323600", "556608279578340080" ]	[ "nonn", "easy" ]	21	6	2	null	null	N. J. A. Sloane	2025-03-19T09:14:01	oeisdata/seq/A004/A004348.seq	3de5f1afd2087fb4973a70f181260f53
A004349	Binomial coefficient C(5n,n-7).	[ "1", "40", "990", "19600", "341055", "5461512", "82598880", "1198774720", "16871053725", "231900297200", "3129162672636", "41604694413840", "546585072715045", "7110542499799200", "91748617512913200", "1175759825268299040" ]	[ "nonn", "easy" ]	13	7	2	null	null	N. J. A. Sloane	2025-03-19T09:15:39	oeisdata/seq/A004/A004349.seq	ec76e335640b40fc13aadaff5a082de2
A004350	Binomial coefficient C(5n,n-8).	[ "1", "45", "1225", "26235", "487635", "8259888", "131115985", "1984829850", "28987537150", "411731930610", "5720645481903", "78083581816435", "1050421051106700", "13961746143269400", "183712472698171725", "2396826047070372396" ]	[ "nonn", "easy" ]	13	8	2	null	null	N. J. A. Sloane	2025-03-19T09:17:06	oeisdata/seq/A004/A004350.seq	3fcb8180e21faeaf8c536c77d2e6090e
A004351	Binomial coefficient C(5*n,n-9).	[ "1", "50", "1485", "34220", "677040", "12103014", "201359550", "3176716400", "48124511370", "706252528630", "10104934117421", "141629804643600", "1951641934005400", "26515202245096950", "355964264416391940", "4730523156632595024" ]	[ "nonn", "easy" ]	20	9	2	null	null	N. J. A. Sloane	2024-02-19T01:48:29	oeisdata/seq/A004/A004351.seq	33aa451e725f042eb7ce6dbc4f3f4c18
A004352	Binomial coefficient C(5n,n-10).	[ "1", "55", "1770", "43680", "916895", "17259390", "300500200", "4935847320", "77515521435", "1174992339235", "17310309456440", "249145778809200", "3517322746798575", "48857840214014580", "669413654240461560", "9064807833193439800" ]	[ "nonn", "easy" ]	13	10	2	null	null	N. J. A. Sloane	2025-03-19T09:19:18	oeisdata/seq/A004/A004352.seq	a9a2c1304ba6d4a8d21a4e475117a2dc
A004353	Binomial coefficient C(5n,n-11).	[ "1", "60", "2080", "54740", "1215450", "24040016", "437353560", "7471375560", "121550931645", "1902231808400", "28848458598960", "426342151127100", "6166523522157180", "87586833265107120", "1224974031512627000" ]	[ "nonn", "easy" ]	11	11	2	null	null	N. J. A. Sloane	2025-03-19T09:20:34	oeisdata/seq/A004/A004353.seq	9794fdbae778ec20dacda3478ce43f44
A004354	Binomial coefficient C(5n, n-12).	[ "1", "65", "2415", "67525", "1581580", "32801517", "622614630", "11050084695", "186087894300", "3005047770725", "46897636623981", "711521944864290", "10542859559688820", "153121753939078375", "2186185620108204000", "30756373941461374800", "427193415484608717000", "5867530676298843674265" ]	[ "nonn", "easy" ]	13	12	2	null	null	N. J. A. Sloane	2025-03-19T09:21:59	oeisdata/seq/A004/A004354.seq	5324f465855a41b37a174e03fc5d7739
A004355	Binomial coefficient C(6n,n).	[ "1", "6", "66", "816", "10626", "142506", "1947792", "26978328", "377348994", "5317936260", "75394027566", "1074082795968", "15363284301456", "220495674290430", "3173734438530120", "45795673964460816", "662252084388541314" ]	[ "nonn", "easy" ]	59	0	2	[ "A000984", "A001449", "A002295", "A004355", "A004368", "A004381", "A005809", "A005810", "A169958", "A169961" ]	null	N. J. A. Sloane	2024-07-21T08:34:11	oeisdata/seq/A004/A004355.seq	31123354a8f55e6093f548bc0b68bfc4
A004356	Binomial coefficient C(6n,n-1).	[ "1", "12", "153", "2024", "27405", "376992", "5245786", "73629072", "1040465790", "14783142660", "210980549208", "3022285436352", "43430966148115", "625806790696080", "9038619861406740", "130815226545884704", "1896724514424115530" ]	[ "nonn", "easy" ]	21	1	2	[ "A001791", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382" ]	null	N. J. A. Sloane	2025-03-19T09:23:39	oeisdata/seq/A004/A004356.seq	b41b34b2b58b9028ab77761f09e5d715
A004357	a(n) = binomial(6*n,n-2).	[ "1", "18", "276", "4060", "58905", "850668", "12271512", "177100560", "2558620845", "37014131440", "536211932256", "7778680504140", "112992892764570", "1643385429346680", "23929614612052080", "348822899204435040" ]	[ "nonn", "easy" ]	18	2	2	null	null	N. J. A. Sloane	2025-03-19T09:25:11	oeisdata/seq/A004/A004357.seq	9877d8d1cfbb4a31a004113355207f1c
A004358	Binomial coefficient C(6n,n-3).	[ "1", "24", "435", "7140", "111930", "1712304", "25827165", "386206920", "5743572120", "85113005120", "1258315963905", "18574174153080", "273897571557780", "4036320536972640", "59458448728028700", "875691012480893280" ]	[ "nonn", "easy" ]	13	3	2	null	null	N. J. A. Sloane	2025-03-19T09:26:28	oeisdata/seq/A004/A004358.seq	3e012d5c053253507d81fc5e8985b076
A004359	Binomial coefficient C(6n,n-4).	[ "1", "30", "630", "11480", "194580", "3162510", "50063860", "778789440", "11969016345", "182364632450", "2761025887620", "41604694413840", "624668654531480", "9353014406656200", "139737927523546800", "2084196562669889040", "31044058215401404845", "461905281500224542750", "6866816177157320098000" ]	[ "nonn", "easy", "changed" ]	20	4	2	null	null	N. J. A. Sloane	2025-04-24T08:50:28	oeisdata/seq/A004/A004359.seq	1a3e06f91bd420c22877f638f8e28908
A004360	Binomial coefficient C(6n,n-5).	[ "1", "36", "861", "17296", "316251", "5461512", "90858768", "1473109704", "23446881315", "368136785016", "5720645481903", "88188515933856", "1350990969850340", "20592957740312160", "312629484400483356", "4730523156632595024" ]	[ "nonn", "easy" ]	13	5	2	null	null	N. J. A. Sloane	2023-10-25T23:49:57	oeisdata/seq/A004/A004360.seq	dde55f2ecb7e9cef13411bbfef367264
A004361	Binomial coefficient C(6n,n-6).	[ "1", "42", "1128", "24804", "487635", "8936928", "156238908", "2641902120", "43595145594", "706252528630", "11279926456656", "178152655364880", "2788629694000605", "43334780015908584", "669413654240461560", "10289781864706066800" ]	[ "nonn", "easy" ]	14	6	2	null	null	N. J. A. Sloane	2023-10-25T23:50:17	oeisdata/seq/A004/A004361.seq	c7bdc88c9d0a12e5f7d5a892782721d1
A004362	Binomial coefficient C(6n,n-7).	[ "1", "48", "1431", "34220", "720720", "13991544", "256851595", "4529365776", "77515521435", "1296543270880", "21300860967540", "344985116783580", "5523060198105996", "87586833265107120", "1378095785451705375", "21540468229578953600" ]	[ "nonn", "easy" ]	12	7	2	null	null	N. J. A. Sloane	2023-10-25T23:50:35	oeisdata/seq/A004/A004362.seq	1a808a43d599de0be554745e6a6d1e59
A004363	Binomial coefficient C(6n,n-8).	[ "1", "54", "1770", "45760", "1028790", "21111090", "406481544", "7471375560", "132601016340", "2290415157800", "38722819230810", "643463324051184", "10542859559688820", "170737530940919250", "2738195113929528000" ]	[ "nonn", "easy" ]	9	8	2	null	null	N. J. A. Sloane	2023-10-25T23:50:54	oeisdata/seq/A004/A004363.seq	878e98604728112a081c4d9fa3f6c55b
A004364	Binomial coefficient C(6n,n-9).	[ "1", "60", "2145", "59640", "1426425", "30872016", "622614630", "11919192480", "219295068300", "3911395881900", "68058620813106", "1160681786387760", "19470069317824125", "322140601638768000", "5268572441742348000" ]	[ "nonn", "easy" ]	11	9	2	null	null	N. J. A. Sloane	2021-12-26T20:54:51	oeisdata/seq/A004/A004364.seq	79f8d18b5d4028bce4062e705c9780d1
A004365	Binomial coefficient C(6n,n-10).	[ "1", "66", "2556", "76076", "1929501", "43949268", "927048304", "18466953120", "352025629371", "6481773410772", "116068178638776", "2031659407077300", "34898565177533200", "590080113475142976", "9844971586905715128" ]	[ "nonn", "easy" ]	11	10	2	null	null	N. J. A. Sloane	2023-10-25T23:51:41	oeisdata/seq/A004/A004365.seq	cf0ee3e3316df6fd311b025cbef0f505
A004366	Binomial coefficient C(6n,n-11).	[ "1", "72", "3003", "95284", "2555190", "61124064", "1346548665", "27883218168", "550339251858", "10456592670160", "192657357567675", "3461014728350400", "60881281549022688", "1052134368066259632", "17910906207136060650" ]	[ "nonn", "easy" ]	11	11	2	null	null	N. J. A. Sloane	2023-10-25T23:52:00	oeisdata/seq/A004/A004366.seq	c3514dcaf89af6388d69c76517e43cd8
A004367	Binomial coefficient C(6n,n-12).	[ "1", "78", "3486", "117480", "3321960", "83291670", "1913554188", "41146859952", "840261910995", "16466440817750", "312058705015200", "5752562036128128", "103619293824707388", "1830311583210984300", "31794836537065001400" ]	[ "nonn", "easy" ]	11	12	2	null	null	N. J. A. Sloane	2023-10-25T23:52:15	oeisdata/seq/A004/A004367.seq	568e90d732439b531d0df4ad6c5cb24d
A004368	Binomial coefficient C(7n,n).	[ "1", "7", "91", "1330", "20475", "324632", "5245786", "85900584", "1420494075", "23667689815", "396704524216", "6681687099710", "112992892764570", "1917283000904460", "32626924340528840", "556608279578340080", "9516306085765295355", "163011740982048945441" ]	[ "nonn", "easy" ]	47	0	2	[ "A000984", "A001449", "A002296", "A004355", "A004368", "A004381", "A005809", "A005810", "A169958", "A169961" ]	null	N. J. A. Sloane	2024-10-28T17:00:54	oeisdata/seq/A004/A004368.seq	3584548d2da2345e05a3c91ae9c17de8
A004369	Binomial coefficient C(7n,n-1).	[ "1", "14", "210", "3276", "52360", "850668", "13983816", "231917400", "3872894697", "65033528560", "1096993404430", "18574174153080", "315502265971620", "5373846361969456", "91748617512913200", "1569699972909739440" ]	[ "nonn", "easy" ]	13	1	2	[ "A001791", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382" ]	null	N. J. A. Sloane	2023-09-01T17:39:50	oeisdata/seq/A004/A004369.seq	fbe35a5b9d825cc3a65f3b4161b02b4b
A004370	Binomial coefficient C(7n,n-2).	[ "1", "21", "378", "6545", "111930", "1906884", "32468436", "553270671", "9440350920", "161322559475", "2761025887620", "47325339895743", "812325612855848", "13961746143269400", "240260199935164200", "4139207762053520646" ]	[ "nonn", "easy" ]	12	2	2	null	null	N. J. A. Sloane	2023-10-25T23:52:39	oeisdata/seq/A004/A004370.seq	8fb8aadcdf4258a9ee40e6c49e197474
A004371	Binomial coefficient C(7n,n-3).	[ "1", "28", "595", "11480", "211876", "3819816", "67945521", "1198774720", "21042072975", "368136785016", "6426898010533", "112044912118048", "1951641934005400", "33976189889821200", "591315394579074378", "10289781864706066800" ]	[ "nonn", "easy" ]	9	3	2	null	null	N. J. A. Sloane	2023-10-25T23:52:56	oeisdata/seq/A004/A004371.seq	8aaacfc1eeea265cb836baa7bb4b3bcd
A004372	Binomial coefficient C(7n,n-4).	[ "1", "35", "861", "18424", "367290", "7028847", "131115985", "2404808340", "43595145594", "783768050065", "14005614014756", "249145778809200", "4416904685676756", "78098259661387182", "1378095785451705375", "24278663343508481600" ]	[ "nonn", "easy" ]	11	4	2	null	null	N. J. A. Sloane	2023-10-25T23:53:12	oeisdata/seq/A004/A004372.seq	85408d3820e75cbfaf613056dbdbfa65
A004373	Binomial coefficient C(7n,n-5).	[ "1", "42", "1176", "27720", "595665", "12103014", "237093780", "4529365776", "84986896995", "1573664496040", "28848458598960", "524780754733872", "9488573603719938", "170737530940919250", "3060335715568296000", "54680757182029915776" ]	[ "nonn", "easy" ]	9	5	2	null	null	N. J. A. Sloane	2023-10-25T23:53:29	oeisdata/seq/A004/A004373.seq	7dd44663121b6a772b2a97fff28a4504
A004374	Binomial coefficient C(7n,n-6).	[ "1", "49", "1540", "39711", "916895", "19757815", "406481544", "8093990190", "157366449604", "3005047770725", "56594002961496", "1054285955968882", "19470069317824125", "357039166816301200", "6509613950241656640", "118118024245256829444" ]	[ "nonn", "easy" ]	9	6	2	null	null	N. J. A. Sloane	2023-10-25T23:53:42	oeisdata/seq/A004/A004374.seq	f2b5ea2b16ea2545a7fd6ad94917a919
A004375	Binomial coefficient C(7n,n-7).	[ "1", "56", "1953", "54740", "1353275", "30872016", "666563898", "13834413152", "278818865325", "5494563394320", "106395830418878", "2031659407077300", "38359579905883600", "717595238609316480", "13321581681795883020", "245722278467924356560", "4507944342815596914910" ]	[ "nonn", "easy" ]	14	7	2	null	null	N. J. A. Sloane	2023-10-25T23:54:30	oeisdata/seq/A004/A004375.seq	69256381be5b96470836c839f6e752af
A004376	Binomial coefficient C(7n,n-8).	[ "1", "63", "2415", "73150", "1929501", "46504458", "1052618392", "22760723700", "475491062970", "9672348219898", "192657357567675", "3773073433365600", "72880766421258705", "1391807041381659420", "26327386978706181060" ]	[ "nonn", "easy" ]	12	8	2	null	null	N. J. A. Sloane	2023-10-25T23:54:44	oeisdata/seq/A004/A004376.seq	1d70a793b8380f95a878b224c280de68
A004377	Binomial coefficient C(7n,n-9).	[ "1", "70", "2926", "95284", "2672670", "67910864", "1609344100", "36227890512", "784244450262", "16466440817750", "337429331439200", "6779606178721740", "134025863244159796", "2614066792211961240", "50410336514571953200" ]	[ "nonn", "easy" ]	11	9	2	null	null	N. J. A. Sloane	2024-09-06T15:39:32	oeisdata/seq/A004/A004377.seq	2582f6708ed321dab76a645f825dd6bc
A004378	Binomial coefficient C(7n,n-10).	[ "1", "77", "3486", "121485", "3612280", "96560646", "2392407864", "56017460733", "1255914977625", "27212042858000", "573658984353378", "11825811462719982", "239315973934897860", "4768545345973022600", "93780365051563029360" ]	[ "nonn", "easy" ]	12	10	2	null	null	N. J. A. Sloane	2023-10-25T23:55:22	oeisdata/seq/A004/A004378.seq	8eeff40f66965db738e265cf212785c0
A004379	Binomial coefficient C(7n,n-11).	[ "1", "84", "4095", "152096", "4780230", "134153712", "3470108187", "84431259000", "1959267085776", "43790762164380", "949517708685546", "20082459351180240", "416047580521136200", "8470484585302467168", "169921950043809807675" ]	[ "nonn", "easy" ]	9	11	2	null	null	N. J. A. Sloane	2023-10-25T23:55:45	oeisdata/seq/A004/A004379.seq	4fb0294d9b85187df36ae7b54650a172
A004380	Binomial coefficient C(7n,n-12).	[ "1", "91", "4753", "187460", "6210820", "182637273", "4925156775", "124397910208", "2985733783935", "68805631064170", "1534076755992935", "33283806441690896", "705873715441872264", "14684612966748995725", "300515354528763817950" ]	[ "nonn", "easy" ]	11	12	2	null	null	N. J. A. Sloane	2023-10-25T23:56:04	oeisdata/seq/A004/A004380.seq	cd9947382dbdf7ef9712096b2669f7b2
A004381	Binomial coefficient C(8n,n).	[ "1", "8", "120", "2024", "35960", "658008", "12271512", "231917400", "4426165368", "85113005120", "1646492110120", "32006008361808", "624668654531480", "12233149001721760", "240260199935164200", "4730523156632595024" ]	[ "nonn", "easy" ]	39	0	2	[ "A000984", "A001449", "A004355", "A004368", "A004381", "A005809", "A005810", "A169958", "A169961" ]	null	N. J. A. Sloane	2023-08-01T09:55:42	oeisdata/seq/A004/A004381.seq	a65ac36bea614d7a085221f908ea1870
A004382	Binomial coefficient C(8n, n-1).	[ "1", "16", "276", "4960", "91390", "1712304", "32468436", "621216192", "11969016345", "231900297200", "4513667845896", "88188515933856", "1728597141547640", "33976189889821200", "669413654240461560", "13216710966550396800" ]	[ "nonn", "easy" ]	16	1	2	null	null	N. J. A. Sloane	2022-09-08T08:44:32	oeisdata/seq/A004/A004382.seq	ea571e8cbf017a367e329c42ca001bb1
A004383	Binomial coefficient C(8n,n-2).	[ "1", "24", "496", "9880", "194580", "3819816", "74974368", "1473109704", "28987537150", "571350360240", "11279926456656", "223044792457760", "4416904685676756", "87586833265107120", "1739040916651368000", "34569147570568156800" ]	[ "nonn", "easy" ]	11	2	2	null	null	N. J. A. Sloane	2023-10-25T23:56:21	oeisdata/seq/A004/A004383.seq	51ae2166229357d550861a6f17d0f670
A004384	Binomial coefficient C(8n,n-3).	[ "1", "32", "780", "17296", "367290", "7624512", "156238908", "3176716400", "64276915527", "1296543270880", "26100986351440", "524780754733872", "10542859559688820", "211709328983644800", "4250305029168216000", "85323087086516197776" ]	[ "nonn", "easy" ]	12	3	2	null	null	N. J. A. Sloane	2023-10-25T23:56:41	oeisdata/seq/A004/A004384.seq	1befad87cbdb804979e491645fc5f141
A004385	Binomial coefficient C(8n,n-4).	[ "1", "40", "1128", "27720", "635376", "13991544", "300500200", "6348337336", "132601016340", "2747472247520", "56594002961496", "1160681786387760", "23726045489546400", "483774556165488000", "9844971586905715128", "200044340275516722160" ]	[ "nonn", "easy" ]	9	4	2	null	null	N. J. A. Sloane	2023-10-25T23:57:31	oeisdata/seq/A004/A004385.seq	2ca668729b5e28d60d012a6b52ab36c2
A004386	Binomial coefficient C(8n,n-5).	[ "1", "48", "1540", "41664", "1028790", "24040016", "541931236", "11919192480", "257575523205", "5494563394320", "116068178638776", "2433440563030400", "50718300243156000", "1052134368066259632", "21743950029947469800" ]	[ "nonn", "easy" ]	11	5	2	null	null	N. J. A. Sloane	2021-12-26T20:56:14	oeisdata/seq/A004/A004386.seq	a1d0c37a6895dc24c83f7da692009f1c
A004387	Binomial coefficient C(8n,n-6).	[ "1", "56", "2016", "59640", "1581580", "39175752", "927048304", "21243342120", "475491062970", "10456592670160", "226846154180800", "4868956823342976", "103619293824707388", "2190038132512694800", "46026828991565696400" ]	[ "nonn", "easy" ]	12	6	2	null	null	N. J. A. Sloane	2023-10-25T23:57:49	oeisdata/seq/A004/A004387.seq	b76b5b5a60f49bdebd157d0b6adac81f
A004388	Binomial coefficient C(8n,n-7).	[ "1", "64", "2556", "82160", "2331890", "61124064", "1517381580", "36227890512", "840261910995", "19062702032000", "425067659180736", "9349109217266832", "203360683733321660", "4383507523006256800", "93780365051563029360" ]	[ "nonn", "easy" ]	9	7	2	null	null	N. J. A. Sloane	2023-10-25T23:58:11	oeisdata/seq/A004/A004388.seq	ba75dd4e9052d90de6a5ba63a724822f
A004389	a(n) = binomial(8*n, n-8).	[ "1", "72", "3160", "109736", "3321960", "91962520", "2392407864", "59487568920", "1429702652400", "33469894423680", "767464189477128", "17307292232623120", "385037822966765800", "8470484585302467168", "184606563010558803400", "3991697442876739754640", "85733828145510955528212" ]	[ "nonn", "easy" ]	15	8	2	null	null	N. J. A. Sloane	2022-09-08T08:44:32	oeisdata/seq/A004/A004389.seq	3f21ee154d1c411dc209765ae02fedfe
A004390	Binomial coefficient C(8n,n-9).	[ "1", "80", "3828", "142880", "4598126", "134153712", "3652745460", "94525795200", "2353351951665", "56849199220528", "1340705736329960", "31009757554370400", "705873715441872264", "15855778418084805200", "352208597900888801880" ]	[ "nonn", "easy" ]	11	9	2	null	null	N. J. A. Sloane	2023-10-25T23:58:28	oeisdata/seq/A004/A004390.seq	0123ce37491ab3b5b6da9f409a6df061
A004391	Binomial coefficient C(8n,n-10).	[ "1", "88", "4560", "182104", "6210820", "190578024", "5423611200", "145944307080", "3762079360182", "93755645897200", "2274048887320496", "53952131116576224", "1256860484360380900", "28835791641008439920", "653085721923526608480" ]	[ "nonn", "easy" ]	11	10	2	null	null	N. J. A. Sloane	2023-10-25T23:58:49	oeisdata/seq/A004/A004391.seq	46095171f1b1331c228b2e136ce32329
A004392	Binomial coefficient C(8n,n-11).	[ "1", "96", "5356", "227920", "8214570", "264566400", "7858539612", "219683466288", "5859727868575", "150599264060960", "3756161027103408", "91408035226209520", "2179449368215754180", "51079330206309343680", "1179791641436990551200" ]	[ "nonn", "easy" ]	15	11	2	null	null	N. J. A. Sloane	2023-10-25T23:59:12	oeisdata/seq/A004/A004392.seq	1887907b69c8914b06a9423f65c0d856
A004393	Binomial coefficient C(8n,n-12).	[ "1", "104", "6216", "280840", "10668000", "359933112", "11143364232", "323295330680", "8917061687820", "236236542585120", "6057158960772920", "151175678720167920", "3689062737122341488", "88326646952501966400", "2080775440409128608600" ]	[ "nonn", "easy" ]	11	12	2	null	null	N. J. A. Sloane	2023-10-25T23:59:27	oeisdata/seq/A004/A004393.seq	d2fe2f5759b3c78c548a82a60cef8eca
A004394	Superabundant [or super-abundant] numbers: n such that sigma(n)/n > sigma(m)/m for all m < n, sigma(n) being A000203(n), the sum of the divisors of n.	[ "1", "2", "4", "6", "12", "24", "36", "48", "60", "120", "180", "240", "360", "720", "840", "1260", "1680", "2520", "5040", "10080", "15120", "25200", "27720", "55440", "110880", "166320", "277200", "332640", "554400", "665280", "720720", "1441440", "2162160", "3603600", "4324320", "7207200", "8648640", "10810800", "21621600" ]	[ "nonn", "nice" ]	182	1	2	[ "A000203", "A002093", "A002182", "A004394", "A004490", "A023199", "A025487", "A077006", "A091901", "A102750", "A112974", "A189686", "A192884" ]	null	Matthew Conroy	2025-02-17T14:30:12	oeisdata/seq/A004/A004394.seq	3519b55ea1bfa276ff1c3a46828ec704
A004395	Ratios of successive terms are 1,1,2,3,3,4,5,5,6,7,7,...	[ "1", "1", "1", "2", "6", "18", "72", "360", "1800", "10800", "75600", "529200", "4233600", "38102400", "342921600", "3429216000", "37721376000", "414935136000", "4979221632000", "64729881216000", "841488455808000", "11780838381312000", "176712575719680000" ]	[ "nonn" ]	10	0	4	[ "A004395", "A004396" ]	null	N. J. A. Sloane	2023-10-25T23:59:43	oeisdata/seq/A004/A004395.seq	6799dd175350c9cdd4ad2bbe9ca84029
A004396	One even number followed by two odd numbers.	[ "0", "1", "1", "2", "3", "3", "4", "5", "5", "6", "7", "7", "8", "9", "9", "10", "11", "11", "12", "13", "13", "14", "15", "15", "16", "17", "17", "18", "19", "19", "20", "21", "21", "22", "23", "23", "24", "25", "25", "26", "27", "27", "28", "29", "29", "30", "31", "31", "32", "33", "33", "34", "35", "35", "36", "37", "37", "38", "39", "39", "40", "41", "41", "42", "43", "43", "44", "45", "45", "46", "47", "47" ]	[ "nonn", "easy" ]	144	0	4	[ "A001045", "A002620", "A004396", "A004523", "A004773", "A006369", "A008620", "A032766", "A040001", "A082870", "A092200", "A096777" ]	null	N. J. A. Sloane	2025-03-31T12:36:37	oeisdata/seq/A004/A004396.seq	e8cbe5307d5f83dfdc88c8f30ecdbe47
A004397	a(n) = prime(n) + Fibonacci(n).	[ "3", "4", "7", "10", "16", "21", "30", "40", "57", "84", "120", "181", "274", "420", "657", "1040", "1656", "2645", "4248", "6836", "11019", "17790", "28740", "46457", "75122", "121494", "196521", "317918", "514338", "832153", "1346396", "2178440", "3524715", "5703026", "9227614", "14930503", "24157974", "39088332", "63246153" ]	[ "nonn" ]	14	1	1	[ "A004397", "A100700" ]	null	Hegermann, Frank (hegermann(AT)oi.dbv.commerzbank.dbp.de)	2023-04-21T23:42:47	oeisdata/seq/A004/A004397.seq	0cde68f06a42ab5f3991cd99e105c9a4
A004398	a(n) = Fibonacci(n+1) + prime(n).	[ "3", "5", "8", "12", "19", "26", "38", "53", "78", "118", "175", "270", "418", "653", "1034", "1650", "2643", "4242", "6832", "11017", "17784", "28736", "46451", "75114", "121490", "196519", "317914", "514336", "832149", "1346382", "2178436", "3524709", "5703024", "9227604", "14930501", "24157968", "39088326" ]	[ "nonn" ]	16	1	1	null	null	Hegermann, Frank (hegermann(AT)oi.dbv.commerzbank.dbp.de)	2022-09-08T08:44:33	oeisdata/seq/A004/A004398.seq	f30dd8ff6da96f5955faeb711df5aa34
A004399	Fibonacci(n+2) plus n-th prime.	[ "4", "6", "10", "15", "24", "34", "51", "74", "112", "173", "264", "414", "651", "1030", "1644", "2637", "4240", "6826", "11013", "17782", "28730", "46447", "75108", "121482", "196515", "317912", "514332", "832147", "1346378", "2178422", "3524705", "5703018", "9227602" ]	[ "nonn" ]	6	1	1	null	null	Hegermann, Frank (hegermann(AT)oi.dbv.commerzbank.dbp.de)	2012-03-31T14:40:01	oeisdata/seq/A004/A004399.seq	dc2d11776c268cd011a4f22468d14e57
A004400	a(n) = 1 + Sum_{k=0..n} 2^k*k!.	[ "1", "2", "4", "12", "60", "444", "4284", "50364", "695484", "11017404", "196811964", "3912703164", "85662309564", "2047652863164", "53059407256764", "1481388530277564", "44331262220901564", "1415527220320869564", "48036189795719781564", "1726380042510080613564", "65503446445655792229564", "2616586102571484256869564" ]	[ "nonn", "easy" ]	45	-1	2	[ "A000165", "A004400", "A112368", "A112369" ]	[ "M1263" ]	N. J. A. Sloane	2022-06-22T13:37:33	oeisdata/seq/A004/A004400.seq	087e06e30eccb6dd2e6c5654027ab8ff

A004301

Second-order Eulerian numbers <<n,2>>.

[ "0", "6", "58", "328", "1452", "5610", "19950", "67260", "218848", "695038", "2170626", "6699696", "20507988", "62407890", "189123286", "571432036", "1722945672", "5187185766", "15600353130", "46882846680", "140820504700", "422822222266", "1269221639358", "3809241974028", "11431014253872", "34299887862990" ]

[ "nonn", "easy" ]

41

2

[ "A004301", "A008517", "A163936", "A201637" ]

[ "M4265" ]

N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v

2019-02-27T20:56:41

oeisdata/seq/A004/A004301.seq

c9576cf0dba2788752921a0292d47aa1

A004302

a(n) = n^2*(n+1)^2*(n+2)/12.

[ "0", "1", "12", "60", "200", "525", "1176", "2352", "4320", "7425", "12100", "18876", "28392", "41405", "58800", "81600", "110976", "148257", "194940", "252700", "323400", "409101", "512072", "634800", "780000", "950625", "1149876", "1381212", "1648360", "1955325", "2306400", "2706176", "3159552", "3671745", "4248300", "4895100" ]

[ "nonn", "easy" ]

90

0

3

[ "A000217", "A000292", "A004302", "A096948", "A103252", "A103371" ]

null

N. J. A. Sloane

2025-03-12T08:06:41

oeisdata/seq/A004/A004302.seq

2717bc4acfad720656eda91ee926fb3f

A004303

a(n) = binomial(2*n-2,n-1)/n - 2^(n-1) + n.

[ "1", "1", "1", "1", "3", "16", "75", "309", "1183", "4360", "15783", "56750", "203929", "734722", "2658071", "9662093", "35292151", "129513736", "477376575", "1766738922", "6563071865", "24464169890", "91478369359", "343051225066", "1289887370133", "4861912847046", "18367285963315", "69533416698304" ]

[ "nonn" ]

41

1

5

null

[ "M3015" ]

N. J. A. Sloane

2023-10-24T23:15:05

oeisdata/seq/A004/A004303.seq

9ab8aadbbbdc4fada57f1db47492d148

A004304

Number of nonseparable planar tree-rooted maps with n edges.

[ "1", "2", "2", "6", "28", "160", "1036", "7294", "54548", "426960", "3463304", "28910816", "247104976", "2154192248", "19097610480", "171769942086", "1564484503044", "14407366963440", "133978878618904", "1256799271555872", "11881860129979440" ]

[ "nonn" ]

30

0

2

[ "A000264", "A004304", "A005568", "A168450", "A168451", "A168452" ]

[ "M0364" ]

N. J. A. Sloane

2020-03-28T10:13:01

oeisdata/seq/A004/A004304.seq

edd25972d1545feca1f32317c3eedc70

A004305

Simple triangulations of a disk: column 4 of square array in A210664.

[ "3", "22", "85", "254", "644", "1448", "2967", "5645", "10109", "17214", "28093", "44212", "67430", "100064", "144959", "205563", "286007", "391190", "526869", "699754", "917608", "1189352", "1525175", "1936649", "2436849", "3040478", "3763997", "4625760", "5646154", "6847744", "8255423", "9896567", "11801195", "14002134", "16535189", "19439318", "22756812", "26533480", "30818839" ]

[ "nonn" ]

28

0

1

[ "A004305", "A210664" ]

[ "M3091" ]

N. J. A. Sloane

2024-05-19T08:04:33

oeisdata/seq/A004/A004305.seq

bbe48660674f5621081738a9d11a8e95

A004306

Rook polynomials.

[ "1", "1", "2", "6", "24", "44", "80", "144", "264", "484", "888", "1632", "3000", "5516", "10144", "18656", "34312", "63108", "116072", "213488", "392664", "722220", "1328368", "2443248", "4493832", "8265444", "15202520", "27961792", "51429752", "94594060", "173985600", "320009408", "588589064", "1082584068", "1991182536" ]

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

48

0

3

[ "A000803", "A001644", "A004306", "A008305" ]

[ "M1670" ]

N. J. A. Sloane

2024-07-05T18:29:36

oeisdata/seq/A004/A004306.seq

c080fe231524e8801e8b8a869e857cce

A004307

Number of permutations p of [n] such that (n-p(i)+i) mod n >= 4 for all i.

[ "0", "1", "2", "31", "264", "2783", "30818", "369321", "4745952", "65275999", "957874226", "14951584189", "247524019720", "4334022049377", "80052395326514", "1555999253409203", "31755107852542144", "679008663143893773", "15182701602959054546", "354364531995856105099", "8618865446674052425224" ]

[ "nonn" ]

43

4

3

[ "A004307", "A008305" ]

[ "M2154" ]

N. J. A. Sloane

2023-10-25T16:16:31

oeisdata/seq/A004/A004307.seq

d872b60227566a1258986aee79cc4e08

A004308

Hit polynomials, coefficient of y in N_n(y).

[ "0", "0", "24", "154", "1664", "15984", "173000", "2004486", "25086336", "337215372", "4852472744", "74473953570", "1214929163904", "21000334935308", "383498204201496", "7379028867234934", "149233618755354240", "3165087929247599208", "70251457394397108280" ]

[ "nonn" ]

18

4

3

null

[ "M5149" ]

N. J. A. Sloane

2023-10-24T21:52:47

oeisdata/seq/A004/A004308.seq

047a0abf646cdc5ddc08ec0ec065cdf2

A004309

Hit polynomials, coefficient of y^2 in N_n(y).

[ "0", "10", "60", "595", "4512", "44802", "457040", "5159517", "62939040", "829049884", "11727029860", "177384144795", "2857827179200", "48865616001564", "883930234491000", "16866107046572417", "338568863790331200", "7132984247370166710", "157374949769998613708" ]

[ "nonn" ]

17

4

2

null

[ "M4720" ]

N. J. A. Sloane

2023-10-24T21:52:32

oeisdata/seq/A004/A004309.seq

2fe60fa78f1eee33069eb2bdf08c12b5

A004310

Binomial coefficient C(2n,n-4).

[ "1", "10", "66", "364", "1820", "8568", "38760", "170544", "735471", "3124550", "13123110", "54627300", "225792840", "927983760", "3796297200", "15471286560", "62852101650", "254661927156", "1029530696964", "4154246671960", "16735679449896", "67327446062800", "270533919634160", "1085929983159840", "4355031703297275" ]

[ "nonn", "easy" ]

66

4

2

[ "A001622", "A004310", "A100257" ]

null

N. J. A. Sloane

2025-01-13T04:58:39

oeisdata/seq/A004/A004310.seq

77672ec2556d5d8a89dfd27da39186fc

A004311

Binomial coefficient C(2n,n-5).

[ "1", "12", "91", "560", "3060", "15504", "74613", "346104", "1562275", "6906900", "30045015", "129024480", "548354040", "2310789600", "9669554100", "40225345056", "166509721602", "686353797976", "2818953098830", "11541847896480", "47129212243960", "191991813933920", "780512175396135", "3167295784216200" ]

[ "nonn", "easy" ]

55

5

2

[ "A001622", "A004311", "A100257" ]

null

N. J. A. Sloane

2024-04-24T12:53:36

oeisdata/seq/A004/A004311.seq

62b28979a34dda77d420837dcfdd56b4

A004312

Binomial coefficient C(2n,n-6).

[ "1", "14", "120", "816", "4845", "26334", "134596", "657800", "3108105", "14307150", "64512240", "286097760", "1251677700", "5414950296", "23206929840", "98672427616", "416714805914", "1749695026860", "7309837001104", "30405943383200", "125994627894135", "520341450264090", "2142582442263900", "8799226775309880" ]

[ "nonn", "easy" ]

45

6

2

[ "A001622", "A004312", "A100257" ]

null

N. J. A. Sloane

2023-10-23T11:25:38

oeisdata/seq/A004/A004312.seq

65c85340f23296dea0c8e125a7889424

A004313

a(n) = binomial coefficient C(2n, n-7).

[ "1", "16", "153", "1140", "7315", "42504", "230230", "1184040", "5852925", "28048800", "131128140", "600805296", "2707475148", "12033222880", "52860229080", "229911617056", "991493848554", "4244421484512", "18053528883775", "76360380541900", "321387366339585", "1346766106565880", "5621728217559090" ]

[ "nonn", "easy" ]

39

7

2

[ "A001622", "A004313", "A100257" ]

null

N. J. A. Sloane

2023-10-23T11:26:03

oeisdata/seq/A004/A004313.seq

792da8540a1c9e5ac051b89ef4439efa

A004314

a(n) = binomial coefficient C(2n, n - 8).

[ "1", "18", "190", "1540", "10626", "65780", "376740", "2035800", "10518300", "52451256", "254186856", "1203322288", "5586853480", "25518731280", "114955808528", "511738760544", "2254848913647", "9847379391150", "42671977361650", "183649923622620", "785613562163430", "3342649210440540", "14154280149473100" ]

[ "nonn", "easy" ]

43

8

2

[ "A001622", "A004314" ]

null

N. J. A. Sloane

2023-10-23T11:30:37

oeisdata/seq/A004/A004314.seq

f761a3817b704352847e42e11e3b60dd

A004315

a(n) = binomial coefficient C(2n, n-9).

[ "1", "20", "231", "2024", "14950", "98280", "593775", "3365856", "18156204", "94143280", "472733756", "2311801440", "11058116888", "51915526432", "239877544005", "1093260079344", "4923689695575", "21945588357420", "96926348578605", "424655979547800", "1847253511032930", "7984465725343800", "34315056105966195" ]

[ "nonn", "easy" ]

36

9

2

[ "A001622", "A004315" ]

null

N. J. A. Sloane

2023-10-23T11:27:23

oeisdata/seq/A004/A004315.seq

edd5a1f937be1cf5c283e711426cfc34

A004316

a(n) = binomial coefficient C(2n, n-10).

[ "1", "22", "276", "2600", "20475", "142506", "906192", "5379616", "30260340", "163011640", "847660528", "4280561376", "21090682613", "101766230790", "482320623240", "2250829575120", "10363194502115", "47153358767970", "212327989773900", "947309492837400", "4191844505805495", "18412956934908690", "80347448443237920" ]

[ "nonn", "easy" ]

38

10

2

[ "A001622", "A004316" ]

null

N. J. A. Sloane

2025-01-13T05:00:20

oeisdata/seq/A004/A004316.seq

3ecae59a872a048ca6f38ee4b867bbaf

A004317

Binomial coefficient C(2n,n-11).

[ "1", "24", "325", "3276", "27405", "201376", "1344904", "8347680", "48903492", "273438880", "1471442973", "7669339132", "38910617655", "192928249296", "937845656300", "4481381406320", "21094923659355", "97997533741800", "449972009097765", "2044802197953900", "9206478467454345", "41107996877935680" ]

[ "nonn", "easy" ]

35

11

2

[ "A001622", "A004317" ]

null

N. J. A. Sloane

2023-10-23T11:56:44

oeisdata/seq/A004/A004317.seq

567c5a989186553067b44925185f1881

A004318

Binomial coefficient C(2n,n-12).

[ "1", "26", "378", "4060", "35960", "278256", "1947792", "12620256", "76904685", "445891810", "2481256778", "13340783196", "69668534468", "354860518600", "1768966344600", "8654327655120", "41648951840265", "197548686920970", "925029565741050", "4282083008118300", "19619725782651120", "89067326568860640" ]

[ "nonn", "easy" ]

35

12

2

[ "A001622", "A004318" ]

null

N. J. A. Sloane

2025-01-13T05:01:42

oeisdata/seq/A004/A004318.seq

5a118b852b97f4aafd4c5ac2c16eb564

A004319

a(n) = binomial(3*n, n - 1).

[ "1", "6", "36", "220", "1365", "8568", "54264", "346104", "2220075", "14307150", "92561040", "600805296", "3910797436", "25518731280", "166871334960", "1093260079344", "7174519270695", "47153358767970", "310325523515700", "2044802197953900", "13488561475572645", "89067326568860640", "588671286046028640" ]

[ "nonn", "easy" ]

79

1

2

[ "A000139", "A001764", "A001791", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382", "A005809", "A006013", "A013698", "A025174", "A045721", "A117671", "A165817", "A236194" ]

null

N. J. A. Sloane

2024-02-23T08:04:32

oeisdata/seq/A004/A004319.seq

9de097339fa4da3a77c5af0410a373c9

A004320

a(n) = n*(n+1)*(n+2)^2/6.

[ "0", "3", "16", "50", "120", "245", "448", "756", "1200", "1815", "2640", "3718", "5096", "6825", "8960", "11560", "14688", "18411", "22800", "27930", "33880", "40733", "48576", "57500", "67600", "78975", "91728", "105966", "121800", "139345", "158720", "180048", "203456", "229075", "257040", "287490", "320568", "356421", "395200" ]

[ "nonn", "easy" ]

94

0

2

[ "A000217", "A000332", "A004320", "A016061", "A047929", "A096948", "A233440" ]

null

N. J. A. Sloane

2024-01-20T20:22:38

oeisdata/seq/A004/A004320.seq

60b7d2a25c50544c05074d266b0be199

A004321

Binomial coefficient C(3n, n-3).

[ "1", "12", "105", "816", "5985", "42504", "296010", "2035800", "13884156", "94143280", "635745396", "4280561376", "28760021745", "192928249296", "1292706174900", "8654327655120", "57902201338905", "387221678682300", "2588713818544245" ]

[ "nonn", "easy" ]

43

3

2

[ "A000027", "A002694", "A004321", "A004334", "A004347", "A004361", "A004375", "A004389", "A281580" ]

null

N. J. A. Sloane

2025-01-14T10:34:57

oeisdata/seq/A004/A004321.seq

21a19ad5fd6ab23568f7412413a2cd30

A004322

Binomial coefficient C(3n,n-4).

[ "1", "15", "153", "1330", "10626", "80730", "593775", "4272048", "30260340", "211915132", "1471442973", "10150595910", "69668534468", "476260169700", "3245372870670", "22057981462440", "149608375854525", "1012974972473835", "6848956078664700", "46252743903616536", "312049055023946856", "2103535234151144200" ]

[ "nonn", "easy" ]

19

4

2

null

N. J. A. Sloane

2025-01-13T07:05:44

oeisdata/seq/A004/A004322.seq

4f80c890659f151da4492c88f3ad8a0c

A004323

Binomial coefficient C(3n,n-5).

[ "1", "18", "210", "2024", "17550", "142506", "1107568", "8347680", "61523748", "445891810", "3190187286", "22595200368", "158753389900", "1108176102180", "7694644696200", "53194089192720", "366395202809685", "2515943049305400", "17231414395464984" ]

[ "nonn", "easy" ]

27

5

2

null

N. J. A. Sloane

2025-01-13T05:06:27

oeisdata/seq/A004/A004323.seq

2304fb11b135693634d83d2c9783cdce

A004324

Binomial coefficient C(3n,n-6).

[ "1", "21", "276", "2925", "27405", "237336", "1947792", "15380937", "118030185", "886163135", "6540715896", "47626016970", "343006888770", "2448296039700", "17345898649800", "122131734269895", "855420636763836", "5964720367660956" ]

[ "nonn", "easy" ]

18

6

2

null

N. J. A. Sloane

2025-01-13T05:07:58

oeisdata/seq/A004/A004324.seq

e197cec9d614dc42ed6b71a00742d57c

A004325

Binomial coefficient C(3n,n-7).

[ "1", "24", "351", "4060", "40920", "376992", "3262623", "26978328", "215553195", "1677106640", "12777711870", "95722852680", "707285522580", "5166863427600", "37387265592825", "268367258592576", "1913212193400684", "13559593014190944" ]

[ "nonn", "easy" ]

15

7

2

null

N. J. A. Sloane

2021-12-26T20:55:28

oeisdata/seq/A004/A004325.seq

f345ca17534b62df69ae3c46ad616a73

A004326

Binomial coefficient C(3n,n-8).

[ "1", "27", "435", "5456", "58905", "575757", "5245786", "45379620", "377348994", "3042312350", "23930713170", "184509266760", "1399358844975", "10468434365991", "77413632286320", "566877686933536", "4116305022165108", "29673694525643100", "212566476905162380", "1514334254464231200", "10735998891545372445" ]

[ "nonn", "easy" ]

21

8

2

null

N. J. A. Sloane

2025-01-13T07:05:27

oeisdata/seq/A004/A004326.seq

c198c69ac33d0cba09740dce135182a4

A004327

Binomial coefficient C(3n,n-9).

[ "1", "30", "528", "7140", "82251", "850668", "8145060", "73629072", "636763050", "5317936260", "43183019880", "342700125300", "2668424446233", "20448884000160", "154603005527328", "1155454041309504", "8550047575185300", "62724534168736440" ]

[ "nonn", "easy" ]

20

9

2

null

N. J. A. Sloane

2025-01-13T05:38:33

oeisdata/seq/A004/A004327.seq

9c1fc4e6d557f5c2852718aede9301ba

A004328

Binomial coefficient C(3n,n-10).

[ "1", "33", "630", "9139", "111930", "1221759", "12271512", "115775100", "1040465790", "8996462475", "75394027566", "615790256823", "4922879481520", "38650751381832", "298824321028320", "2280012686716080", "17198662594653540", "128447994798305325", "950974260789566790", "6986635329170796075", "50980740277700939310" ]

[ "nonn", "easy" ]

21

10

2

null

N. J. A. Sloane

2025-01-13T07:24:11

oeisdata/seq/A004/A004328.seq

19f62a433be8c83a03c5d587b9f78dc4

A004329

Binomial coefficient C(3n,n-11).

[ "1", "36", "741", "11480", "148995", "1712304", "18009460", "177100560", "1652411475", "14783142660", "127805525001", "1074082795968", "8815083648488", "70907466006720", "560658857389200", "4367914309753280", "33594090947249085", "255485622301674660", "1923856105133987325", "14360771909211532200" ]

[ "nonn", "easy" ]

28

11

2

null

N. J. A. Sloane

2025-01-14T01:53:10

oeisdata/seq/A004/A004329.seq

68002f4a8e932d969a5877925b235827

A004330

Binomial coefficient C(3n,n-12).

[ "1", "39", "861", "14190", "194580", "2349060", "25827165", "264385836", "2558620845", "23667689815", "210980549208", "1823810410032", "15363284301456", "126600387152400", "1023729916348425", "8144022047817960", "63871405575418665", "494705855605882455", "3789648142708598775", "28747684924884976050" ]

[ "nonn", "easy" ]

30

12

2

null

N. J. A. Sloane

2025-01-14T01:53:15

oeisdata/seq/A004/A004330.seq

6f5c1ce6c70e4089315b1fcd13703822

A004331

Binomial coefficient C(4n,n-1).

[ "1", "8", "66", "560", "4845", "42504", "376740", "3365856", "30260340", "273438880", "2481256778", "22595200368", "206379406870", "1889912732400", "17345898649800", "159518999862720", "1469568786235308", "13559593014190944", "125288932441604200" ]

[ "nonn", "easy" ]

37

1

2

[ "A001791", "A002293", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382", "A005810", "A052203", "A224274", "A257633", "A262977" ]

null

N. J. A. Sloane

2025-03-19T08:44:36

oeisdata/seq/A004/A004331.seq

3ecc2f0e7f23492ea2fe4cff1dfe3b4f

A004332

a(n) = C(4n,n-2).

[ "1", "12", "120", "1140", "10626", "98280", "906192", "8347680", "76904685", "708930508", "6540715896", "60403728840", "558383307300", "5166863427600", "47855699958816", "443643407165376", "4116305022165108", "38223742100828400", "355214207837288800" ]

[ "nonn", "easy" ]

34

2

[ "A002293", "A004332" ]

null

N. J. A. Sloane

2023-10-25T07:42:09

oeisdata/seq/A004/A004332.seq

2364cd8ebad76d624ce47cbc5f415416

A004333

Binomial coefficient C(4n,n-3).

[ "1", "16", "190", "2024", "20475", "201376", "1947792", "18643560", "177232627", "1677106640", "15820024220", "148902215280", "1399358844975", "13136858812224", "123234279768160", "1155454041309504", "10830060261901380", "101489773667796800" ]

[ "nonn", "easy" ]

24

3

2

null

N. J. A. Sloane

2025-03-19T08:46:04

oeisdata/seq/A004/A004333.seq

f2697aed5de0fdd5e9f06025165b2776

A004334

Binomial coefficient C(4n,n-4).

[ "1", "20", "276", "3276", "35960", "376992", "3838380", "38320568", "377348994", "3679075400", "35607051480", "342700125300", "3284214703056", "31368725759168", "298824321028320", "2840671544105280", "26958221130508525", "255485622301674660" ]

[ "nonn", "easy", "changed" ]

38

4

2

[ "A000027", "A002694", "A004321", "A004334", "A004347", "A004361", "A004375", "A004389", "A281580" ]

null

N. J. A. Sloane

2025-04-25T14:39:44

oeisdata/seq/A004/A004334.seq

cbefbf3dbd82a773c6c3afa820569374

A004335

Binomial coefficient C(4n,n-5).

[ "1", "24", "378", "4960", "58905", "658008", "7059052", "73629072", "752538150", "7575968400", "75394027566", "743595781824", "7282025622664", "70907466006720", "687259244541600", "6635869816740560", "63871405575418665", "613156553427009240", "5873182941643167150", "56151322242892212960", "535983370403809682970" ]

[ "nonn", "easy" ]

20

5

2

null

N. J. A. Sloane

2025-01-13T07:06:10

oeisdata/seq/A004/A004335.seq

a091a84587a3388a8c8f0f54b99ba3d8

A004336

Binomial coefficient C(4n,n-6).

[ "1", "28", "496", "7140", "91390", "1086008", "12271512", "133784560", "1420494075", "14783142660", "151473214816", "1533058025824", "15363284301456", "152724276564800", "1508152231077400", "14810760713140560", "144773075114710515" ]

[ "nonn", "easy" ]

18

6

2

null

N. J. A. Sloane

2025-03-19T08:49:00

oeisdata/seq/A004/A004336.seq

8da7055da70db247691601ffcc3d0011

A004337

Binomial coefficient C(4n,n-7).

[ "1", "32", "630", "9880", "135751", "1712304", "20358520", "231917400", "2558620845", "27540584512", "290752384208", "3022285436352", "31022118677225", "315136287090800", "3173734438530120", "31731084956648880", "315297189498738447" ]

[ "nonn", "easy" ]

19

7

2

null

N. J. A. Sloane

2025-03-19T08:50:09

oeisdata/seq/A004/A004337.seq

dff8052da6e5e07d0eaa8d8ae2d8ee47

A004338

Binomial coefficient C(4n,n-8).

[ "1", "36", "780", "13244", "194580", "2598960", "32468436", "386206920", "4426165368", "49280065120", "536211932256", "5727160371180", "60246643120300", "625806790696080", "6431976680401800", "65516299116620976", "662252084388541314" ]

[ "nonn", "easy" ]

18

8

2

null

N. J. A. Sloane

2025-03-19T08:51:23

oeisdata/seq/A004/A004338.seq

09b0015b5da0763e2df3ce2caa6493ca

A004339

Binomial coefficient C(4n,n-9).

[ "1", "40", "946", "17296", "270725", "3819816", "50063860", "621216192", "7392009768", "85113005120", "954526728530", "10477677064400", "112992892764570", "1200635647008336", "12599288291657880", "130815226545884704" ]

[ "nonn", "easy" ]

18

9

2

null

N. J. A. Sloane

2025-03-19T08:52:34

oeisdata/seq/A004/A004339.seq

b9e6bd7af9134c7f17ef3364c0836cca

A004340

Binomial coefficient C(4n,n-10).

[ "1", "44", "1128", "22100", "367290", "5461512", "74974368", "969443904", "11969016345", "142466675900", "1646492110120", "18574174153080", "205371886988268", "2232785266876080", "23929614612052080", "253338471349988640" ]

[ "nonn", "easy" ]

16

10

2

null

N. J. A. Sloane

2025-03-19T08:59:20

oeisdata/seq/A004/A004340.seq

c5649a033dbf97d2e397b2fcbddae9d9

A004341

Binomial coefficient C(4n,n-11).

[ "1", "48", "1326", "27720", "487635", "7624512", "109453344", "1473109704", "18855883575", "231900297200", "2761025887620", "32006008361808", "362827605867363", "4036320536972640", "44186942677323600", "477092811067148640" ]

[ "nonn", "easy" ]

18

11

2

null

N. J. A. Sloane

2025-03-19T09:00:21

oeisdata/seq/A004/A004341.seq

4d079580be5a98373c1bec4a48a9409b

A004342

Binomial coefficient C(4n, n-12).

[ "1", "52", "1540", "34220", "635376", "10424128", "156238908", "2186189400", "28987537150", "368136785016", "4513667845896", "53752237906276", "624668654531480", "7110542499799200", "79515468511191440", "875691012480893280" ]

[ "nonn", "easy" ]

19

12

2

null

N. J. A. Sloane

2025-03-19T09:01:30

oeisdata/seq/A004/A004342.seq

eebb80a3b50a2a4c2e13229bedcf8bc5

A004343

Binomial coefficient C(5n,n-1).

[ "1", "10", "105", "1140", "12650", "142506", "1623160", "18643560", "215553195", "2505433700", "29248649430", "342700125300", "4027810484880", "47465835030320", "560658857389200", "6635869816740560", "78682166288559225", "934433788613079150" ]

[ "nonn", "easy" ]

22

1

2

[ "A001791", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382" ]

null

N. J. A. Sloane

2024-07-22T15:20:46

oeisdata/seq/A004/A004343.seq

5803eed201a60f475f469c96009dc34d

A004344

Binomial coefficient C(5n+10,n).

[ "1", "15", "190", "2300", "27405", "324632", "3838380", "45379620", "536878650", "6358402050", "75394027566", "895068996640", "10638894058520", "126600387152400", "1508152231077400", "17984495151670680", "214667221708410075", "2564603660132096265", "30664510802988208300", "366934961273420740200" ]

[ "nonn", "easy" ]

16

0

2

[ "A004344", "A233738" ]

null

N. J. A. Sloane

2025-03-19T09:03:04

oeisdata/seq/A004/A004344.seq

1fc7807e98d2ca23363e2053ed2265af

A004345

Binomial coefficient C(5n,n-3).

[ "1", "20", "300", "4060", "52360", "658008", "8145060", "99884400", "1217566350", "14783142660", "179013799328", "2163842859360", "26123889412400", "315136287090800", "3799541229226200", "45795673964460816", "551876736990451095" ]

[ "nonn", "easy" ]

13

3

2

null

N. J. A. Sloane

2025-03-19T09:04:13

oeisdata/seq/A004/A004345.seq

bdebb6dad207d995b3c066d05a2875bb

A004346

Binomial coefficient C(5n,n-4).

[ "1", "25", "435", "6545", "91390", "1221759", "15890700", "202927725", "2558620845", "31966749880", "396704524216", "4898229264825", "60246643120300", "738799683460650", "9038619861406740", "110375347398090219", "1345860629046814650" ]

[ "nonn", "easy" ]

11

4

2

null

N. J. A. Sloane

2025-03-19T09:10:50

oeisdata/seq/A004/A004346.seq

6ff4e972b230c9e3c2df370a86c730de

A004347

Binomial coefficient C(5n,n-5).

[ "1", "30", "595", "9880", "148995", "2118760", "28989675", "386206920", "5047381560", "65033528560", "828931106355", "10477677064400", "131567066917650", "1643385429346680", "20439879147794485", "253338471349988640" ]

[ "nonn", "easy" ]

24

5

2

null

N. J. A. Sloane

2025-03-19T09:12:22

oeisdata/seq/A004/A004347.seq

486f58e0dab30b7d7d7c33026fcb36bb

A004348

Binomial coefficient C(5n, n-6).

[ "1", "35", "780", "14190", "230300", "3478761", "50063860", "696190560", "9440350920", "125595622175", "1646492110120", "21335200040700", "273897571557780", "3489735464257595", "44186942677323600", "556608279578340080" ]

[ "nonn", "easy" ]

21

6

2

null

N. J. A. Sloane

2025-03-19T09:14:01

oeisdata/seq/A004/A004348.seq

3de5f1afd2087fb4973a70f181260f53

A004349

Binomial coefficient C(5n,n-7).

[ "1", "40", "990", "19600", "341055", "5461512", "82598880", "1198774720", "16871053725", "231900297200", "3129162672636", "41604694413840", "546585072715045", "7110542499799200", "91748617512913200", "1175759825268299040" ]

[ "nonn", "easy" ]

13

7

2

null

N. J. A. Sloane

2025-03-19T09:15:39

oeisdata/seq/A004/A004349.seq

ec76e335640b40fc13aadaff5a082de2

A004350

Binomial coefficient C(5n,n-8).

[ "1", "45", "1225", "26235", "487635", "8259888", "131115985", "1984829850", "28987537150", "411731930610", "5720645481903", "78083581816435", "1050421051106700", "13961746143269400", "183712472698171725", "2396826047070372396" ]

[ "nonn", "easy" ]

13

8

2

null

N. J. A. Sloane

2025-03-19T09:17:06

oeisdata/seq/A004/A004350.seq

3fcb8180e21faeaf8c536c77d2e6090e

A004351

Binomial coefficient C(5*n,n-9).

[ "1", "50", "1485", "34220", "677040", "12103014", "201359550", "3176716400", "48124511370", "706252528630", "10104934117421", "141629804643600", "1951641934005400", "26515202245096950", "355964264416391940", "4730523156632595024" ]

[ "nonn", "easy" ]

20

9

2

null

N. J. A. Sloane

2024-02-19T01:48:29

oeisdata/seq/A004/A004351.seq

33aa451e725f042eb7ce6dbc4f3f4c18

A004352

Binomial coefficient C(5n,n-10).

[ "1", "55", "1770", "43680", "916895", "17259390", "300500200", "4935847320", "77515521435", "1174992339235", "17310309456440", "249145778809200", "3517322746798575", "48857840214014580", "669413654240461560", "9064807833193439800" ]

[ "nonn", "easy" ]

13

10

2

null

N. J. A. Sloane

2025-03-19T09:19:18

oeisdata/seq/A004/A004352.seq

a9a2c1304ba6d4a8d21a4e475117a2dc

A004353

Binomial coefficient C(5n,n-11).

[ "1", "60", "2080", "54740", "1215450", "24040016", "437353560", "7471375560", "121550931645", "1902231808400", "28848458598960", "426342151127100", "6166523522157180", "87586833265107120", "1224974031512627000" ]

[ "nonn", "easy" ]

11

2

null

N. J. A. Sloane

2025-03-19T09:20:34

oeisdata/seq/A004/A004353.seq

9794fdbae778ec20dacda3478ce43f44

A004354

Binomial coefficient C(5n, n-12).

[ "1", "65", "2415", "67525", "1581580", "32801517", "622614630", "11050084695", "186087894300", "3005047770725", "46897636623981", "711521944864290", "10542859559688820", "153121753939078375", "2186185620108204000", "30756373941461374800", "427193415484608717000", "5867530676298843674265" ]

[ "nonn", "easy" ]

13

12

2

null

N. J. A. Sloane

2025-03-19T09:21:59

oeisdata/seq/A004/A004354.seq

5324f465855a41b37a174e03fc5d7739

A004355

Binomial coefficient C(6n,n).

[ "1", "6", "66", "816", "10626", "142506", "1947792", "26978328", "377348994", "5317936260", "75394027566", "1074082795968", "15363284301456", "220495674290430", "3173734438530120", "45795673964460816", "662252084388541314" ]

[ "nonn", "easy" ]

59

0

2

[ "A000984", "A001449", "A002295", "A004355", "A004368", "A004381", "A005809", "A005810", "A169958", "A169961" ]

null

N. J. A. Sloane

2024-07-21T08:34:11

oeisdata/seq/A004/A004355.seq

31123354a8f55e6093f548bc0b68bfc4

A004356

Binomial coefficient C(6n,n-1).

[ "1", "12", "153", "2024", "27405", "376992", "5245786", "73629072", "1040465790", "14783142660", "210980549208", "3022285436352", "43430966148115", "625806790696080", "9038619861406740", "130815226545884704", "1896724514424115530" ]

[ "nonn", "easy" ]

21

1

2

[ "A001791", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382" ]

null

N. J. A. Sloane

2025-03-19T09:23:39

oeisdata/seq/A004/A004356.seq

b41b34b2b58b9028ab77761f09e5d715

A004357

a(n) = binomial(6*n,n-2).

[ "1", "18", "276", "4060", "58905", "850668", "12271512", "177100560", "2558620845", "37014131440", "536211932256", "7778680504140", "112992892764570", "1643385429346680", "23929614612052080", "348822899204435040" ]

[ "nonn", "easy" ]

18

2

null

N. J. A. Sloane

2025-03-19T09:25:11

oeisdata/seq/A004/A004357.seq

9877d8d1cfbb4a31a004113355207f1c

A004358

Binomial coefficient C(6n,n-3).

[ "1", "24", "435", "7140", "111930", "1712304", "25827165", "386206920", "5743572120", "85113005120", "1258315963905", "18574174153080", "273897571557780", "4036320536972640", "59458448728028700", "875691012480893280" ]

[ "nonn", "easy" ]

13

3

2

null

N. J. A. Sloane

2025-03-19T09:26:28

oeisdata/seq/A004/A004358.seq

3e012d5c053253507d81fc5e8985b076

A004359

Binomial coefficient C(6n,n-4).

[ "1", "30", "630", "11480", "194580", "3162510", "50063860", "778789440", "11969016345", "182364632450", "2761025887620", "41604694413840", "624668654531480", "9353014406656200", "139737927523546800", "2084196562669889040", "31044058215401404845", "461905281500224542750", "6866816177157320098000" ]

[ "nonn", "easy", "changed" ]

20

4

2

null

N. J. A. Sloane

2025-04-24T08:50:28

oeisdata/seq/A004/A004359.seq

1a3e06f91bd420c22877f638f8e28908

A004360

Binomial coefficient C(6n,n-5).

[ "1", "36", "861", "17296", "316251", "5461512", "90858768", "1473109704", "23446881315", "368136785016", "5720645481903", "88188515933856", "1350990969850340", "20592957740312160", "312629484400483356", "4730523156632595024" ]

[ "nonn", "easy" ]

13

5

2

null

N. J. A. Sloane

2023-10-25T23:49:57

oeisdata/seq/A004/A004360.seq

dde55f2ecb7e9cef13411bbfef367264

A004361

Binomial coefficient C(6n,n-6).

[ "1", "42", "1128", "24804", "487635", "8936928", "156238908", "2641902120", "43595145594", "706252528630", "11279926456656", "178152655364880", "2788629694000605", "43334780015908584", "669413654240461560", "10289781864706066800" ]

[ "nonn", "easy" ]

14

6

2

null

N. J. A. Sloane

2023-10-25T23:50:17

oeisdata/seq/A004/A004361.seq

c7bdc88c9d0a12e5f7d5a892782721d1

A004362

Binomial coefficient C(6n,n-7).

[ "1", "48", "1431", "34220", "720720", "13991544", "256851595", "4529365776", "77515521435", "1296543270880", "21300860967540", "344985116783580", "5523060198105996", "87586833265107120", "1378095785451705375", "21540468229578953600" ]

[ "nonn", "easy" ]

12

7

2

null

N. J. A. Sloane

2023-10-25T23:50:35

oeisdata/seq/A004/A004362.seq

1a808a43d599de0be554745e6a6d1e59

A004363

Binomial coefficient C(6n,n-8).

[ "1", "54", "1770", "45760", "1028790", "21111090", "406481544", "7471375560", "132601016340", "2290415157800", "38722819230810", "643463324051184", "10542859559688820", "170737530940919250", "2738195113929528000" ]

[ "nonn", "easy" ]

9

8

2

null

N. J. A. Sloane

2023-10-25T23:50:54

oeisdata/seq/A004/A004363.seq

878e98604728112a081c4d9fa3f6c55b

A004364

Binomial coefficient C(6n,n-9).

[ "1", "60", "2145", "59640", "1426425", "30872016", "622614630", "11919192480", "219295068300", "3911395881900", "68058620813106", "1160681786387760", "19470069317824125", "322140601638768000", "5268572441742348000" ]

[ "nonn", "easy" ]

11

9

2

null

N. J. A. Sloane

2021-12-26T20:54:51

oeisdata/seq/A004/A004364.seq

79f8d18b5d4028bce4062e705c9780d1

A004365

Binomial coefficient C(6n,n-10).

[ "1", "66", "2556", "76076", "1929501", "43949268", "927048304", "18466953120", "352025629371", "6481773410772", "116068178638776", "2031659407077300", "34898565177533200", "590080113475142976", "9844971586905715128" ]

[ "nonn", "easy" ]

11

10

2

null

N. J. A. Sloane

2023-10-25T23:51:41

oeisdata/seq/A004/A004365.seq

cf0ee3e3316df6fd311b025cbef0f505

A004366

Binomial coefficient C(6n,n-11).

[ "1", "72", "3003", "95284", "2555190", "61124064", "1346548665", "27883218168", "550339251858", "10456592670160", "192657357567675", "3461014728350400", "60881281549022688", "1052134368066259632", "17910906207136060650" ]

[ "nonn", "easy" ]

11

2

null

N. J. A. Sloane

2023-10-25T23:52:00

oeisdata/seq/A004/A004366.seq

c3514dcaf89af6388d69c76517e43cd8

A004367

Binomial coefficient C(6n,n-12).

[ "1", "78", "3486", "117480", "3321960", "83291670", "1913554188", "41146859952", "840261910995", "16466440817750", "312058705015200", "5752562036128128", "103619293824707388", "1830311583210984300", "31794836537065001400" ]

[ "nonn", "easy" ]

11

12

2

null

N. J. A. Sloane

2023-10-25T23:52:15

oeisdata/seq/A004/A004367.seq

568e90d732439b531d0df4ad6c5cb24d

A004368

Binomial coefficient C(7n,n).

[ "1", "7", "91", "1330", "20475", "324632", "5245786", "85900584", "1420494075", "23667689815", "396704524216", "6681687099710", "112992892764570", "1917283000904460", "32626924340528840", "556608279578340080", "9516306085765295355", "163011740982048945441" ]

[ "nonn", "easy" ]

47

0

2

[ "A000984", "A001449", "A002296", "A004355", "A004368", "A004381", "A005809", "A005810", "A169958", "A169961" ]

null

N. J. A. Sloane

2024-10-28T17:00:54

oeisdata/seq/A004/A004368.seq

3584548d2da2345e05a3c91ae9c17de8

A004369

Binomial coefficient C(7n,n-1).

[ "1", "14", "210", "3276", "52360", "850668", "13983816", "231917400", "3872894697", "65033528560", "1096993404430", "18574174153080", "315502265971620", "5373846361969456", "91748617512913200", "1569699972909739440" ]

[ "nonn", "easy" ]

13

1

2

[ "A001791", "A004319", "A004331", "A004343", "A004356", "A004369", "A004382" ]

null

N. J. A. Sloane

2023-09-01T17:39:50

oeisdata/seq/A004/A004369.seq

fbe35a5b9d825cc3a65f3b4161b02b4b

A004370

Binomial coefficient C(7n,n-2).

[ "1", "21", "378", "6545", "111930", "1906884", "32468436", "553270671", "9440350920", "161322559475", "2761025887620", "47325339895743", "812325612855848", "13961746143269400", "240260199935164200", "4139207762053520646" ]

[ "nonn", "easy" ]

12

2

null

N. J. A. Sloane

2023-10-25T23:52:39

oeisdata/seq/A004/A004370.seq

8fb8aadcdf4258a9ee40e6c49e197474

A004371

Binomial coefficient C(7n,n-3).

[ "1", "28", "595", "11480", "211876", "3819816", "67945521", "1198774720", "21042072975", "368136785016", "6426898010533", "112044912118048", "1951641934005400", "33976189889821200", "591315394579074378", "10289781864706066800" ]

[ "nonn", "easy" ]

9

3

2

null

N. J. A. Sloane

2023-10-25T23:52:56

oeisdata/seq/A004/A004371.seq

8aaacfc1eeea265cb836baa7bb4b3bcd

A004372

Binomial coefficient C(7n,n-4).

[ "1", "35", "861", "18424", "367290", "7028847", "131115985", "2404808340", "43595145594", "783768050065", "14005614014756", "249145778809200", "4416904685676756", "78098259661387182", "1378095785451705375", "24278663343508481600" ]

[ "nonn", "easy" ]

11

4

2

null

N. J. A. Sloane

2023-10-25T23:53:12

oeisdata/seq/A004/A004372.seq

85408d3820e75cbfaf613056dbdbfa65

A004373

Binomial coefficient C(7n,n-5).

[ "1", "42", "1176", "27720", "595665", "12103014", "237093780", "4529365776", "84986896995", "1573664496040", "28848458598960", "524780754733872", "9488573603719938", "170737530940919250", "3060335715568296000", "54680757182029915776" ]

[ "nonn", "easy" ]

9

5

2

null

N. J. A. Sloane

2023-10-25T23:53:29

oeisdata/seq/A004/A004373.seq

7dd44663121b6a772b2a97fff28a4504

A004374

Binomial coefficient C(7n,n-6).

[ "1", "49", "1540", "39711", "916895", "19757815", "406481544", "8093990190", "157366449604", "3005047770725", "56594002961496", "1054285955968882", "19470069317824125", "357039166816301200", "6509613950241656640", "118118024245256829444" ]

[ "nonn", "easy" ]

9

6

2

null

N. J. A. Sloane

2023-10-25T23:53:42

oeisdata/seq/A004/A004374.seq

f2b5ea2b16ea2545a7fd6ad94917a919

A004375

Binomial coefficient C(7n,n-7).

[ "1", "56", "1953", "54740", "1353275", "30872016", "666563898", "13834413152", "278818865325", "5494563394320", "106395830418878", "2031659407077300", "38359579905883600", "717595238609316480", "13321581681795883020", "245722278467924356560", "4507944342815596914910" ]

[ "nonn", "easy" ]

14

7

2

null

N. J. A. Sloane

2023-10-25T23:54:30

oeisdata/seq/A004/A004375.seq

69256381be5b96470836c839f6e752af

A004376

Binomial coefficient C(7n,n-8).

[ "1", "63", "2415", "73150", "1929501", "46504458", "1052618392", "22760723700", "475491062970", "9672348219898", "192657357567675", "3773073433365600", "72880766421258705", "1391807041381659420", "26327386978706181060" ]

[ "nonn", "easy" ]

12

8

2

null

N. J. A. Sloane

2023-10-25T23:54:44

oeisdata/seq/A004/A004376.seq

1d70a793b8380f95a878b224c280de68

A004377

Binomial coefficient C(7n,n-9).

[ "1", "70", "2926", "95284", "2672670", "67910864", "1609344100", "36227890512", "784244450262", "16466440817750", "337429331439200", "6779606178721740", "134025863244159796", "2614066792211961240", "50410336514571953200" ]

[ "nonn", "easy" ]

11

9

2

null

N. J. A. Sloane

2024-09-06T15:39:32

oeisdata/seq/A004/A004377.seq

2582f6708ed321dab76a645f825dd6bc

A004378

Binomial coefficient C(7n,n-10).

[ "1", "77", "3486", "121485", "3612280", "96560646", "2392407864", "56017460733", "1255914977625", "27212042858000", "573658984353378", "11825811462719982", "239315973934897860", "4768545345973022600", "93780365051563029360" ]

[ "nonn", "easy" ]

12

10

2

null

N. J. A. Sloane

2023-10-25T23:55:22

oeisdata/seq/A004/A004378.seq

8eeff40f66965db738e265cf212785c0

A004379

Binomial coefficient C(7n,n-11).

[ "1", "84", "4095", "152096", "4780230", "134153712", "3470108187", "84431259000", "1959267085776", "43790762164380", "949517708685546", "20082459351180240", "416047580521136200", "8470484585302467168", "169921950043809807675" ]

[ "nonn", "easy" ]

9

11

2

null

N. J. A. Sloane

2023-10-25T23:55:45

oeisdata/seq/A004/A004379.seq

4fb0294d9b85187df36ae7b54650a172

A004380

Binomial coefficient C(7n,n-12).

[ "1", "91", "4753", "187460", "6210820", "182637273", "4925156775", "124397910208", "2985733783935", "68805631064170", "1534076755992935", "33283806441690896", "705873715441872264", "14684612966748995725", "300515354528763817950" ]

[ "nonn", "easy" ]

11

12

2

null

N. J. A. Sloane

2023-10-25T23:56:04

oeisdata/seq/A004/A004380.seq

cd9947382dbdf7ef9712096b2669f7b2

A004381

Binomial coefficient C(8n,n).

[ "1", "8", "120", "2024", "35960", "658008", "12271512", "231917400", "4426165368", "85113005120", "1646492110120", "32006008361808", "624668654531480", "12233149001721760", "240260199935164200", "4730523156632595024" ]

[ "nonn", "easy" ]

39

0

2

[ "A000984", "A001449", "A004355", "A004368", "A004381", "A005809", "A005810", "A169958", "A169961" ]

null

N. J. A. Sloane

2023-08-01T09:55:42

oeisdata/seq/A004/A004381.seq

a65ac36bea614d7a085221f908ea1870

A004382

Binomial coefficient C(8n, n-1).

[ "1", "16", "276", "4960", "91390", "1712304", "32468436", "621216192", "11969016345", "231900297200", "4513667845896", "88188515933856", "1728597141547640", "33976189889821200", "669413654240461560", "13216710966550396800" ]

[ "nonn", "easy" ]

16

1

2

null

N. J. A. Sloane

2022-09-08T08:44:32

oeisdata/seq/A004/A004382.seq

ea571e8cbf017a367e329c42ca001bb1

A004383

Binomial coefficient C(8n,n-2).

[ "1", "24", "496", "9880", "194580", "3819816", "74974368", "1473109704", "28987537150", "571350360240", "11279926456656", "223044792457760", "4416904685676756", "87586833265107120", "1739040916651368000", "34569147570568156800" ]

[ "nonn", "easy" ]

11

2

null

N. J. A. Sloane

2023-10-25T23:56:21

oeisdata/seq/A004/A004383.seq

51ae2166229357d550861a6f17d0f670

A004384

Binomial coefficient C(8n,n-3).

[ "1", "32", "780", "17296", "367290", "7624512", "156238908", "3176716400", "64276915527", "1296543270880", "26100986351440", "524780754733872", "10542859559688820", "211709328983644800", "4250305029168216000", "85323087086516197776" ]

[ "nonn", "easy" ]

12

3

2

null

N. J. A. Sloane

2023-10-25T23:56:41

oeisdata/seq/A004/A004384.seq

1befad87cbdb804979e491645fc5f141

A004385

Binomial coefficient C(8n,n-4).

[ "1", "40", "1128", "27720", "635376", "13991544", "300500200", "6348337336", "132601016340", "2747472247520", "56594002961496", "1160681786387760", "23726045489546400", "483774556165488000", "9844971586905715128", "200044340275516722160" ]

[ "nonn", "easy" ]

9

4

2

null

N. J. A. Sloane

2023-10-25T23:57:31

oeisdata/seq/A004/A004385.seq

2ca668729b5e28d60d012a6b52ab36c2

A004386

Binomial coefficient C(8n,n-5).

[ "1", "48", "1540", "41664", "1028790", "24040016", "541931236", "11919192480", "257575523205", "5494563394320", "116068178638776", "2433440563030400", "50718300243156000", "1052134368066259632", "21743950029947469800" ]

[ "nonn", "easy" ]

11

5

2

null

N. J. A. Sloane

2021-12-26T20:56:14

oeisdata/seq/A004/A004386.seq

a1d0c37a6895dc24c83f7da692009f1c

A004387

Binomial coefficient C(8n,n-6).

[ "1", "56", "2016", "59640", "1581580", "39175752", "927048304", "21243342120", "475491062970", "10456592670160", "226846154180800", "4868956823342976", "103619293824707388", "2190038132512694800", "46026828991565696400" ]

[ "nonn", "easy" ]

12

6

2

null

N. J. A. Sloane

2023-10-25T23:57:49

oeisdata/seq/A004/A004387.seq

b76b5b5a60f49bdebd157d0b6adac81f

A004388

Binomial coefficient C(8n,n-7).

[ "1", "64", "2556", "82160", "2331890", "61124064", "1517381580", "36227890512", "840261910995", "19062702032000", "425067659180736", "9349109217266832", "203360683733321660", "4383507523006256800", "93780365051563029360" ]

[ "nonn", "easy" ]

9

7

2

null

N. J. A. Sloane

2023-10-25T23:58:11

oeisdata/seq/A004/A004388.seq

ba75dd4e9052d90de6a5ba63a724822f

A004389

a(n) = binomial(8*n, n-8).

[ "1", "72", "3160", "109736", "3321960", "91962520", "2392407864", "59487568920", "1429702652400", "33469894423680", "767464189477128", "17307292232623120", "385037822966765800", "8470484585302467168", "184606563010558803400", "3991697442876739754640", "85733828145510955528212" ]

[ "nonn", "easy" ]

15

8

2

null

N. J. A. Sloane

2022-09-08T08:44:32

oeisdata/seq/A004/A004389.seq

3f21ee154d1c411dc209765ae02fedfe

A004390

Binomial coefficient C(8n,n-9).

[ "1", "80", "3828", "142880", "4598126", "134153712", "3652745460", "94525795200", "2353351951665", "56849199220528", "1340705736329960", "31009757554370400", "705873715441872264", "15855778418084805200", "352208597900888801880" ]

[ "nonn", "easy" ]

11

9

2

null

N. J. A. Sloane

2023-10-25T23:58:28

oeisdata/seq/A004/A004390.seq

0123ce37491ab3b5b6da9f409a6df061

A004391

Binomial coefficient C(8n,n-10).

[ "1", "88", "4560", "182104", "6210820", "190578024", "5423611200", "145944307080", "3762079360182", "93755645897200", "2274048887320496", "53952131116576224", "1256860484360380900", "28835791641008439920", "653085721923526608480" ]

[ "nonn", "easy" ]

11

10

2

null

N. J. A. Sloane

2023-10-25T23:58:49

oeisdata/seq/A004/A004391.seq

46095171f1b1331c228b2e136ce32329

A004392

Binomial coefficient C(8n,n-11).

[ "1", "96", "5356", "227920", "8214570", "264566400", "7858539612", "219683466288", "5859727868575", "150599264060960", "3756161027103408", "91408035226209520", "2179449368215754180", "51079330206309343680", "1179791641436990551200" ]

[ "nonn", "easy" ]

15

11

2

null

N. J. A. Sloane

2023-10-25T23:59:12

oeisdata/seq/A004/A004392.seq

1887907b69c8914b06a9423f65c0d856

A004393

Binomial coefficient C(8n,n-12).

[ "1", "104", "6216", "280840", "10668000", "359933112", "11143364232", "323295330680", "8917061687820", "236236542585120", "6057158960772920", "151175678720167920", "3689062737122341488", "88326646952501966400", "2080775440409128608600" ]

[ "nonn", "easy" ]

11

12

2

null

N. J. A. Sloane

2023-10-25T23:59:27

oeisdata/seq/A004/A004393.seq

d2fe2f5759b3c78c548a82a60cef8eca

A004394

Superabundant [or super-abundant] numbers: n such that sigma(n)/n > sigma(m)/m for all m < n, sigma(n) being A000203(n), the sum of the divisors of n.

[ "1", "2", "4", "6", "12", "24", "36", "48", "60", "120", "180", "240", "360", "720", "840", "1260", "1680", "2520", "5040", "10080", "15120", "25200", "27720", "55440", "110880", "166320", "277200", "332640", "554400", "665280", "720720", "1441440", "2162160", "3603600", "4324320", "7207200", "8648640", "10810800", "21621600" ]

[ "nonn", "nice" ]

182

1

2

[ "A000203", "A002093", "A002182", "A004394", "A004490", "A023199", "A025487", "A077006", "A091901", "A102750", "A112974", "A189686", "A192884" ]

null

Matthew Conroy

2025-02-17T14:30:12

oeisdata/seq/A004/A004394.seq

3519b55ea1bfa276ff1c3a46828ec704

A004395

Ratios of successive terms are 1,1,2,3,3,4,5,5,6,7,7,...

[ "1", "1", "1", "2", "6", "18", "72", "360", "1800", "10800", "75600", "529200", "4233600", "38102400", "342921600", "3429216000", "37721376000", "414935136000", "4979221632000", "64729881216000", "841488455808000", "11780838381312000", "176712575719680000" ]

[ "nonn" ]

10

0

4

[ "A004395", "A004396" ]

null

N. J. A. Sloane

2023-10-25T23:59:43

oeisdata/seq/A004/A004395.seq

6799dd175350c9cdd4ad2bbe9ca84029

A004396

One even number followed by two odd numbers.

[ "0", "1", "1", "2", "3", "3", "4", "5", "5", "6", "7", "7", "8", "9", "9", "10", "11", "11", "12", "13", "13", "14", "15", "15", "16", "17", "17", "18", "19", "19", "20", "21", "21", "22", "23", "23", "24", "25", "25", "26", "27", "27", "28", "29", "29", "30", "31", "31", "32", "33", "33", "34", "35", "35", "36", "37", "37", "38", "39", "39", "40", "41", "41", "42", "43", "43", "44", "45", "45", "46", "47", "47" ]

[ "nonn", "easy" ]

144

0

4

[ "A001045", "A002620", "A004396", "A004523", "A004773", "A006369", "A008620", "A032766", "A040001", "A082870", "A092200", "A096777" ]

null

N. J. A. Sloane

2025-03-31T12:36:37

oeisdata/seq/A004/A004396.seq

e8cbe5307d5f83dfdc88c8f30ecdbe47

A004397

a(n) = prime(n) + Fibonacci(n).

[ "3", "4", "7", "10", "16", "21", "30", "40", "57", "84", "120", "181", "274", "420", "657", "1040", "1656", "2645", "4248", "6836", "11019", "17790", "28740", "46457", "75122", "121494", "196521", "317918", "514338", "832153", "1346396", "2178440", "3524715", "5703026", "9227614", "14930503", "24157974", "39088332", "63246153" ]

[ "nonn" ]

14

1

[ "A004397", "A100700" ]

null

Hegermann, Frank (hegermann(AT)oi.dbv.commerzbank.dbp.de)

2023-04-21T23:42:47

oeisdata/seq/A004/A004397.seq

0cde68f06a42ab5f3991cd99e105c9a4

A004398

a(n) = Fibonacci(n+1) + prime(n).

[ "3", "5", "8", "12", "19", "26", "38", "53", "78", "118", "175", "270", "418", "653", "1034", "1650", "2643", "4242", "6832", "11017", "17784", "28736", "46451", "75114", "121490", "196519", "317914", "514336", "832149", "1346382", "2178436", "3524709", "5703024", "9227604", "14930501", "24157968", "39088326" ]

[ "nonn" ]

16

1

null

Hegermann, Frank (hegermann(AT)oi.dbv.commerzbank.dbp.de)

2022-09-08T08:44:33

oeisdata/seq/A004/A004398.seq

f30dd8ff6da96f5955faeb711df5aa34

A004399

Fibonacci(n+2) plus n-th prime.

[ "4", "6", "10", "15", "24", "34", "51", "74", "112", "173", "264", "414", "651", "1030", "1644", "2637", "4240", "6826", "11013", "17782", "28730", "46447", "75108", "121482", "196515", "317912", "514332", "832147", "1346378", "2178422", "3524705", "5703018", "9227602" ]

[ "nonn" ]

6

1

null

Hegermann, Frank (hegermann(AT)oi.dbv.commerzbank.dbp.de)

2012-03-31T14:40:01

oeisdata/seq/A004/A004399.seq

dc2d11776c268cd011a4f22468d14e57

A004400

a(n) = 1 + Sum_{k=0..n} 2^k*k!.

[ "1", "2", "4", "12", "60", "444", "4284", "50364", "695484", "11017404", "196811964", "3912703164", "85662309564", "2047652863164", "53059407256764", "1481388530277564", "44331262220901564", "1415527220320869564", "48036189795719781564", "1726380042510080613564", "65503446445655792229564", "2616586102571484256869564" ]

[ "nonn", "easy" ]

45

-1

2

[ "A000165", "A004400", "A112368", "A112369" ]

[ "M1263" ]

N. J. A. Sloane

2022-06-22T13:37:33

oeisdata/seq/A004/A004400.seq

087e06e30eccb6dd2e6c5654027ab8ff