Datasets:
christopher
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oeis

Dataset card Data Studio Files
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1999-12-11 03:00:00
2025-04-28 00:58:08
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29
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32
32
A003701
Expansion of e.g.f. exp(x)/cos(x).
[ "1", "1", "2", "4", "12", "36", "152", "624", "3472", "18256", "126752", "814144", "6781632", "51475776", "500231552", "4381112064", "48656756992", "482962852096", "6034272215552", "66942218896384", "929327412759552", "11394877025289216", "174008703107274752", "2336793875186479104", "38928735228629389312" ]
[ "nonn" ]
75
0
3
[ "A000795", "A002084", "A003701", "A009739", "A062161", "A062272" ]
[ "M1259" ]
R. H. Hardin
2024-05-12T17:42:30
oeisdata/seq/A003/A003701.seq
d2da3cd3b5cbc1b6446d52c9b27dbf87
A003702
Expansion of tan(x)/cosh(x).
[ "1", "-1", "21", "-141", "10441", "-183481", "29429661", "-987318021", "276117553681", "-15085947275761", "6514632269358501", "-526614587249608701", "324871912636292700121", "-36433570919762397948841", "30417659816002454665514541" ]
[ "sign" ]
24
0
3
null
[ "M5110" ]
R. H. Hardin, Simon Plouffe
2023-10-29T01:42:32
oeisdata/seq/A003/A003702.seq
5635fdf7fe98b3002df1135e1fedfb2e
A003703
Expansion of e.g.f. cos(log(1+x)).
[ "1", "0", "-1", "3", "-10", "40", "-190", "1050", "-6620", "46800", "-365300", "3103100", "-28269800", "271627200", "-2691559000", "26495469000", "-238131478000", "1394099824000", "15194495654000", "-936096296850000", "29697351895900000", "-819329864480400000", "21683886333440500000", "-570263312237604700000" ]
[ "easy", "sign" ]
72
0
4
[ "A003703", "A009024", "A009454" ]
[ "M2856" ]
R. H. Hardin, Simon Plouffe
2025-02-16T08:32:27
oeisdata/seq/A003/A003703.seq
aaf482768603846a93f30068587f0934
A003704
Expansion of log(1+sinh(x)).
[ "0", "1", "-1", "3", "-10", "45", "-256", "1743", "-13840", "125625", "-1282816", "14554683", "-181649920", "2473184805", "-36478744576", "579439207623", "-9861412096000", "179018972217585", "-3452931391553536", "70518070842040563", "-1520176422094766080" ]
[ "sign" ]
28
0
4
[ "A003704", "A009344", "A024293", "A080795" ]
[ "M2867" ]
R. H. Hardin, Simon Plouffe
2015-02-16T09:40:36
oeisdata/seq/A003/A003704.seq
2ca7f16e30c42c8c905e1c321f349b2d
A003705
E.g.f. tan(sin(x)) (odd powers only).
[ "1", "1", "-3", "-107", "-1095", "41897", "3027637", "34528445", "-11832720271", "-1190157296815", "22592230600813", "23107531656941541", "2633888933338158633", "-362759000929143575815", "-189312598480126813670107", "-18315162183020706728157939" ]
[ "sign" ]
21
0
3
null
[ "M3172" ]
R. H. Hardin, Simon Plouffe
2014-04-11T04:45:17
oeisdata/seq/A003/A003705.seq
25151ee8b944afe6a343a4fa361bc50e
A003706
E.g.f. sin(tan(x)), zeros omitted.
[ "1", "1", "-3", "-275", "-15015", "-968167", "-77000363", "-7433044411", "-843598411471", "-107426835190735", "-14072980460605907", "-1424712499632406371", "164163646840636339593", "237037449673450822122569", "155015924346163216960553093", "92387809011599803660871724021" ]
[ "sign" ]
37
0
3
null
[ "M3176" ]
R. H. Hardin, Simon Plouffe
2015-02-08T08:47:12
oeisdata/seq/A003/A003706.seq
949588ca77a8b083f8c41d15328e599c
A003707
Expansion of e.g.f. log(1 + tan(x)).
[ "0", "1", "-1", "4", "-14", "80", "-496", "3904", "-34544", "354560", "-4055296", "51733504", "-724212224", "11070525440", "-183218384896", "3266330312704", "-62380415842304", "1270842139934720", "-27507260369207296", "630424777638805504", "-15250924309151350784", "388362339077351014400", "-10384039093607251050496" ]
[ "sign" ]
44
0
4
[ "A002436", "A003707", "A024299" ]
[ "M3490" ]
R. H. Hardin, Simon Plouffe
2022-09-08T08:44:32
oeisdata/seq/A003/A003707.seq
94a7372921709586c30b45ed6ac8e4ef
A003708
Expansion of tan(log(1+x)).
[ "0", "1", "-1", "4", "-18", "110", "-810", "7040", "-70280", "792200", "-9945000", "137550400", "-2077719600", "34026132400", "-600433397200", "11356783360000", "-229193571984000", "4915556301968000", "-111644265232656000", "2676908220027392000" ]
[ "sign" ]
20
0
4
null
[ "M3547" ]
R. H. Hardin, Simon Plouffe
2015-02-16T09:51:00
oeisdata/seq/A003/A003708.seq
9f187983beb79de2962ab1d7b93c7e2e
A003709
E.g.f. cos(sin(x)) (even powers only).
[ "1", "-1", "5", "-37", "457", "-8169", "188685", "-5497741", "197920145", "-8541537105", "432381471509", "-25340238127989", "1699894200469849", "-129076687233903673", "10989863562589199389", "-1041327644107761435101", "109095160722852951673633", "-12561989444137938396142753" ]
[ "sign" ]
30
0
3
null
[ "M3986" ]
R. H. Hardin, Simon Plouffe
2023-02-11T12:21:59
oeisdata/seq/A003/A003709.seq
4696abfccd0c838e9871a96b7dc2d1ff
A003710
Expansion of e.g.f. cos(tan(x)) (even powers only).
[ "1", "-1", "-7", "-97", "-2063", "-53409", "-752343", "166831871", "43685848289", "9398558916159", "2116926930779225", "524586454143030495", "144620290378876829905", "44287070229737735633567", "14954349885478653319004041" ]
[ "sign" ]
36
0
3
[ "A003709", "A003710", "A003711" ]
[ "M4453" ]
R. H. Hardin, Simon Plouffe
2021-10-02T07:56:28
oeisdata/seq/A003/A003710.seq
d7170bcecad595cb9013368487d4b67d
A003711
Expansion of e.g.f. cos(tanh(x)) (even powers only).
[ "1", "-1", "9", "-177", "6097", "-325249", "24807321", "-2558036145", "342232522657", "-57569080467073", "11879658510739497", "-2948163649552594737", "865683568087537789297", "-296699416391356495667713", "117330699580950022391960505" ]
[ "sign" ]
31
0
3
[ "A003710", "A003711" ]
[ "M4665" ]
R. H. Hardin, Simon Plouffe
2021-10-02T07:56:44
oeisdata/seq/A003/A003711.seq
4794f51573cd268eb3284385d30dd34c
A003712
Expansion of e.g.f. sin(sin(x)) (odd powers only).
[ "1", "-2", "12", "-128", "1872", "-37600", "990784", "-32333824", "1272660224", "-59527313920", "3252626013184", "-204354574172160", "14594815769038848", "-1174376539738169344", "105595092426069327872", "-10530693390637550272512" ]
[ "sign" ]
43
0
2
[ "A003712", "A359553", "A359554" ]
[ "M2042" ]
R. H. Hardin, Simon Plouffe
2023-10-29T08:22:33
oeisdata/seq/A003/A003712.seq
561deb049b7ed906c0b260332a638210
A003713
Expansion of e.g.f. log(1/(1+log(1-x))).
[ "0", "1", "2", "7", "35", "228", "1834", "17582", "195866", "2487832", "35499576", "562356672", "9794156448", "186025364016", "3826961710272", "84775065603888", "2011929826983504", "50929108873336320", "1369732445916318336", "39005083331889816960", "1172419218038422659456", "37095226237402478348544" ]
[ "nonn", "easy", "nice" ]
76
0
3
[ "A000268", "A000310", "A000359", "A000406", "A001765", "A003713", "A007840", "A039814", "A089064", "A238385" ]
[ "M1799", "N0710" ]
N. J. A. Sloane, R. H. Hardin, Simon Plouffe
2024-04-19T07:26:51
oeisdata/seq/A003/A003713.seq
48db93eed7ebd2b9fab32f2c657425b4
A003714
Fibbinary numbers: if n = F(i1) + F(i2) + ... + F(ik) is the Zeckendorf representation of n (i.e., write n in Fibonacci number system) then a(n) = 2^(i1 - 2) + 2^(i2 - 2) + ... + 2^(ik - 2). Also numbers whose binary representation contains no two adjacent 1's.
[ "0", "1", "2", "4", "5", "8", "9", "10", "16", "17", "18", "20", "21", "32", "33", "34", "36", "37", "40", "41", "42", "64", "65", "66", "68", "69", "72", "73", "74", "80", "81", "82", "84", "85", "128", "129", "130", "132", "133", "136", "137", "138", "144", "145", "146", "148", "149", "160", "161", "162", "164", "165", "168", "169", "170", "256", "257", "258", "260", "261", "264" ]
[ "nonn", "nice", "easy", "look" ]
287
0
3
[ "A000045", "A001969", "A003714", "A003726", "A003754", "A004780", "A005203", "A005590", "A007088", "A007895", "A014081", "A014417", "A022340", "A022341", "A037011", "A048679", "A048715", "A048718", "A048728", "A056017", "A060112", "A072649", "A083368", "A085357", "A089939", "A106027", "A106028", "A107907", "A107909", "A116361", "A129761", "A215022", "A215025", "A242407", "A278038" ]
null
N. J. A. Sloane
2025-01-05T19:51:33
oeisdata/seq/A003/A003714.seq
b003fa292794af7587ffa779c4885b55
A003715
Expansion of e.g.f. sin(sin(sin(x))) (odd powers only).
[ "1", "-3", "33", "-731", "25857", "-1311379", "89060065", "-7778778091", "849264442881", "-113234181108643", "18073465545032353", "-3395124358886313595", "740061366713642835201", "-185005977382236600650035" ]
[ "sign" ]
31
0
2
[ "A003712", "A003715" ]
[ "M3134" ]
R. H. Hardin, Simon Plouffe
2025-01-21T18:19:39
oeisdata/seq/A003/A003715.seq
a2fbf567e40e31343ba36a8860021710
A003716
Expansion of e.g.f. tan(sinh(x)) (odd powers only).
[ "1", "3", "37", "1015", "47881", "3459819", "354711853", "48961863007", "8754050024209", "1967989239505875", "543326939019354421", "180718022989699819207", "71275877445849484090393", "32890432371345908634652347", "17555593768891213894861569085" ]
[ "nonn" ]
39
0
2
[ "A003716", "A003718", "A003721" ]
[ "M3144" ]
R. H. Hardin
2025-01-21T18:19:15
oeisdata/seq/A003/A003716.seq
8f0a8234ca6d6f8bbed21cce937dfae1
A003717
Expansion of e.g.f. sin(tanh(x)) (odd powers only).
[ "1", "-3", "37", "-959", "41641", "-2693691", "241586893", "-28607094455", "4315903789009", "-807258131578995", "183184249105857781", "-49548882107764546223", "15742588857552887269753", "-5802682207845642276301995" ]
[ "sign" ]
28
0
2
null
[ "M3143" ]
R. H. Hardin, Simon Plouffe
2018-01-28T02:27:50
oeisdata/seq/A003/A003717.seq
5088e51912eb501b87aab9c9648b5ecb
A003718
E.g.f. tan(tan(x)), zeros omitted.
[ "1", "4", "72", "2896", "203904", "22112000", "3412366336", "709998153728", "191483931951104", "64956739430973440", "27065724289967718400", "13588059904833174896640", "8089418253144660155301888", "5634743143901240164716904448", "4539998748622480932947483426816" ]
[ "nonn" ]
35
0
2
null
[ "M3694" ]
R. H. Hardin
2018-01-27T18:20:11
oeisdata/seq/A003/A003718.seq
0f7666af4ba768873918ced73d64cf7f
A003719
Expansion of tan(x)*cosh(x).
[ "1", "5", "41", "685", "19921", "887765", "56126201", "4776869245", "526589630881", "72989204937125", "12424192360405961", "2547879762929443405", "619570064016825283441", "176273806836039238900085", "58010159408189457446855321", "21864887814006548202566779165" ]
[ "nonn" ]
22
0
2
[ "A003719", "A009739", "A062272" ]
[ "M3996" ]
R. H. Hardin
2019-11-04T17:45:54
oeisdata/seq/A003/A003719.seq
b499a5e227144e0c59bd19acc6b3dd75
A003720
Expansion of e.g.f. tan(tan(tan(x))).
[ "1", "6", "168", "10672", "1198080", "208521728", "51874413568", "17449541107712", "7622674735988736", "4193561606973095936", "2836052065377836597248", "2312174256451088534208512", "2236165580390456719589769216", "2530976708469616321520834969600", "3314110602212685014002135203840000" ]
[ "nonn" ]
42
0
2
null
[ "M4301" ]
R. H. Hardin
2024-10-31T22:28:36
oeisdata/seq/A003/A003720.seq
37f1ad0279bdb5471e0637d6e9ce0c81
A003721
Expansion of e.g.f. tan(tanh(x)) (odd powers only).
[ "1", "0", "-8", "112", "-128", "-109824", "8141824", "-353878016", "-9666461696", "5151942574080", "-825073851170816", "76429076694827008", "2051308253366714368", "-2361338488910424047616", "171581865952588387581952" ]
[ "sign" ]
29
0
3
[ "A003716", "A003718", "A003721" ]
[ "M4571" ]
R. H. Hardin, Simon Plouffe
2021-10-02T07:57:09
oeisdata/seq/A003/A003721.seq
559db6b66ac0f43240bf6c9e0cf5bb60
A003722
E.g.f. sin(sinh(x)) (odd powers only).
[ "1", "0", "-8", "-56", "64", "12672", "309376", "2917888", "-163782656", "-12716052480", "-495644917760", "-4004259037184", "1359174582304768", "153146435763437568", "9620207941273255936", "142966118908253962240", "-62984506636368191946752" ]
[ "sign" ]
21
0
3
null
[ "M4541" ]
R. H. Hardin, Simon Plouffe
2014-04-11T05:09:44
oeisdata/seq/A003/A003722.seq
75f96576feadf60d519bac9b337e47ce
A003723
E.g.f. exp(tanh(x)).
[ "1", "1", "1", "-1", "-7", "-3", "97", "275", "-2063", "-15015", "53409", "968167", "-752343", "-77000363", "-166831871", "7433044411", "43685848289", "-843598411471", "-9398558916159", "107426835190735", "2116926930779225", "-14072980460605907" ]
[ "sign" ]
29
0
5
[ "A003706", "A003710", "A003723" ]
[ "M4327" ]
R. H. Hardin, Simon Plouffe
2018-01-27T18:19:57
oeisdata/seq/A003/A003723.seq
1da5f58f40afab8af38bc0e46361fa4d
A003724
Number of partitions of n-set into odd blocks.
[ "1", "1", "1", "2", "5", "12", "37", "128", "457", "1872", "8169", "37600", "188685", "990784", "5497741", "32333824", "197920145", "1272660224", "8541537105", "59527313920", "432381471509", "3252626013184", "25340238127989", "204354574172160", "1699894200469849", "14594815769038848", "129076687233903673" ]
[ "nonn", "nice", "easy" ]
65
0
4
[ "A000009", "A000110", "A002017", "A003724", "A005046", "A009623", "A136630", "A156289" ]
[ "M1427" ]
R. H. Hardin
2024-08-20T09:14:04
oeisdata/seq/A003/A003724.seq
ff4830e5ffda6e9b4c54910dd4ae8259
A003725
E.g.f.: exp( x * exp(-x) ).
[ "1", "1", "-1", "-2", "9", "-4", "-95", "414", "49", "-10088", "55521", "-13870", "-2024759", "15787188", "-28612415", "-616876274", "7476967905", "-32522642896", "-209513308607", "4924388011050", "-38993940088199", "11731860520780", "3807154270837281" ]
[ "sign", "easy" ]
38
0
4
[ "A000248", "A003725", "A069856", "A072034", "A215652", "A292909", "A292910", "A292912" ]
[ "M1911" ]
R. H. Hardin
2018-06-25T15:30:38
oeisdata/seq/A003/A003725.seq
2742c656737c30e060de950c65d51f52
A003726
Numbers with no 3 adjacent 1's in binary expansion.
[ "0", "1", "2", "3", "4", "5", "6", "8", "9", "10", "11", "12", "13", "16", "17", "18", "19", "20", "21", "22", "24", "25", "26", "27", "32", "33", "34", "35", "36", "37", "38", "40", "41", "42", "43", "44", "45", "48", "49", "50", "51", "52", "53", "54", "64", "65", "66", "67", "68", "69", "70", "72", "73", "74", "75", "76", "77", "80", "81", "82" ]
[ "nonn", "base", "easy" ]
47
1
3
[ "A000073", "A003726", "A003754", "A003796", "A004742", "A004743", "A004744", "A004745", "A004746", "A004781", "A007088", "A014082", "A063037", "A278038" ]
null
N. J. A. Sloane
2022-09-04T12:45:44
oeisdata/seq/A003/A003726.seq
8464922dde895b3dafa835dcd46d016b
A003727
Expansion of e.g.f. exp(x * cosh(x)).
[ "1", "1", "1", "4", "13", "36", "181", "848", "3865", "23824", "140521", "871872", "6324517", "44942912", "344747677", "2860930816", "23853473329", "213856723200", "1996865965009", "19099352929280", "193406280000061", "2010469524579328", "21615227339380357", "242177953175506944" ]
[ "nonn" ]
68
0
4
[ "A003727", "A009233", "A191509" ]
[ "M3462" ]
R. H. Hardin
2025-02-20T10:29:03
oeisdata/seq/A003/A003727.seq
3ee0afadd3ca380c9dad7003642ce1bb
A003728
Expansion of e.g.f. log(1+x*cos(x)).
[ "0", "1", "-1", "-1", "6", "-31", "120", "-337", "-784", "24705", "-288000", "2451679", "-14032128", "-17936543", "2173889536", "-42895630065", "583266662400", "-5396647099903", "5119183650816", "1239561882325439", "-36754121131294720", "708575518706816481" ]
[ "sign" ]
40
0
5
null
[ "M4208" ]
R. H. Hardin, Simon Plouffe
2022-10-29T09:37:49
oeisdata/seq/A003/A003728.seq
672440afc9ff23876e134a639bab6244
A003729
Number of perfect matchings (or domino tilings) in graph C_{5} X P_{2n}.
[ "11", "176", "2911", "48301", "801701", "13307111", "220880176", "3666315811", "60855946601", "1010127453401", "16766766924211", "278305942640176", "4619507031938711", "76677648402694901", "1272746577484955101", "21125893715367851311" ]
[ "nonn", "easy" ]
23
1
1
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003729.seq
db056e9e956683b4f620b5c0ca978fa3
A003730
Number of 2-factors in C_5 X P_n.
[ "1", "11", "81", "666", "5431", "44466", "364061", "2981201", "24412606", "199912706", "1637069691", "13405842666", "109779463516", "898976005896", "7361648869421", "60284005131851", "493661316969811", "4042556485091321", "33104199931650186" ]
[ "nonn", "easy" ]
26
1
2
null
null
Frans J. Faase
2020-06-23T09:42:40
oeisdata/seq/A003/A003730.seq
f056f6d522a1c3e7fd122fcdc77ea464
A003731
Number of Hamiltonian cycles in C_5 X P_n.
[ "1", "5", "30", "160", "850", "4520", "24040", "127860", "680040", "3616880", "19236840", "102313600", "544168000", "2894227280", "15393318880", "81871340160", "435443220000", "2315960597120", "12317733383040", "65513444349760", "348441653760640", "1853231611930880", "9856649945242240", "52423856531251200" ]
[ "nonn", "easy" ]
31
1
2
[ "A003731", "A359855" ]
null
Frans J. Faase
2025-02-18T17:38:36
oeisdata/seq/A003/A003731.seq
4ac839d69778ab51f249b6e2d26ff093
A003732
Number of Hamiltonian paths in C_5 X P_n.
[ "5", "130", "1660", "16820", "152230", "1275680", "10154290", "77897010", "581452680", "4250594690", "30572999140", "217099260110", "1525905283670", "10636695448300", "73649615037480", "507171127397480", "3476871213780220", "23747634842538120" ]
[ "nonn" ]
17
1
1
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003732.seq
b734c30df3739732fa2fa5560febd92e
A003733
Number of spanning trees in C_5 X P_n.
[ "5", "1805", "508805", "140503005", "38720000000", "10668237057005", "2939274449134805", "809816405722655805", "223117116976138566005", "61472262298219520000000", "16936571572967914651674005", "4666290873812984282155907805", "1285636259054921313298518442805" ]
[ "nonn" ]
41
1
1
[ "A003733", "A143699" ]
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003733.seq
23831e740707b99ca8b80d7dbbef1232
A003734
Number of spanning trees with degrees 1 and 3 in C_5 X P_2n.
[ "0", "260", "27420", "2504560", "223723080", "19923617840", "1773563554900", "157870122686600", "14052371971981100", "1250831588811052320", "111339169110472830220", "9910535055491682625400", "882157695038695625086700", "78522722964255506997330800", "6989473714324564174042717340" ]
[ "nonn" ]
20
1
2
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003734.seq
2be689cd25276ab8ce8771a445ab6b22
A003735
Number of perfect matchings (or domino tilings) in W_5 X P_2n.
[ "29", "1189", "49401", "2053641", "85373589", "3549138989", "147544320241", "6133692298001", "254989017189389", "10600368542888629", "440677071050573801", "18319766917914642201", "761586844367955639429", "31660584117320436988989", "1316189472103884945976801", "54716448693989525183595041" ]
[ "nonn", "easy" ]
28
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003735.seq
105269179c28f352b3e0514c5e42090d
A003736
Number of 2-factors in W_5 X P_n.
[ "4", "156", "3832", "101476", "2653176", "69537644", "1821675752", "47726949876", "1250396334280", "32759217743932", "858260185404312", "22485600623006756", "589101327485494424", "15433894026086119116", "404353331486123621320", "10593672372980858817748", "277544131820420163065832", "7271392053421269671583068" ]
[ "nonn", "easy" ]
25
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003736.seq
dfd4c5e09e44bb3015627f2cfdd5989e
A003737
Number of Hamiltonian cycles in W_5 X P_n.
[ "4", "92", "1432", "22632", "357952", "5660752", "89521984", "1415743552", "22389250144", "354074376800", "5599502597088", "88553228914208", "1400423379497056", "22146969296658080", "350242830993566816", "5538908688560111008", "87594967677616439904", "1385268975148564102048", "21907310252932371420768" ]
[ "nonn", "easy" ]
25
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003737.seq
fb272d790d8755809bfdc232fcaaf201
A003738
Number of Hamiltonian paths in W_5 X P_n.
[ "24", "1920", "70184", "2154592", "58772296", "2907860192", "155789578368", "8657124623872", "486468905555968", "27396295154262016", "1543844945278500864", "87013000712650358784", "4904346018649432653824", "276428194803652843536384", "15580616335530275077357568", "878187384790382283606458368", "49498247371236620586614521856" ]
[ "nonn", "easy" ]
41
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003738.seq
3c1ed220116add84246de8818693e22d
A003739
Number of spanning trees in W_5 X P_n.
[ "45", "55125", "59719680", "64416925125", "69471840376125", "74922901143552000", "80801651828175064605", "87141671714980415665125", "93979154798291442260459520", "101353134069755356151903203125" ]
[ "nonn", "easy" ]
28
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003739.seq
3c95b4c5bef7463e99b6feba4bf7ae42
A003740
Number of spanning trees with degrees 1 and 3 in W_5 X P_2n.
[ "208", "335344", "503672968", "757005488704", "1137734095903816", "1709944335224262352", "2569941155563565968488", "3862463470575397280285088", "5805045002479537990606632936" ]
[ "nonn" ]
18
1
1
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003740.seq
2d38610d2676b6ff964213fb24c32c91
A003741
Number of perfect matchings (or domino tilings) in O_5 X P_2n.
[ "40", "2197", "121735", "6748096", "374079619", "20737143595", "1149566489968", "63726386332735", "3532681575875629", "195834721732832344", "10856126548559080585", "601810968956118729913", "33361479413223474759160", "1849398508920455533993789", "102521677843870104359906191", "5683304262020707489694083600" ]
[ "nonn", "easy" ]
27
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003741.seq
eee29c391ee594120ff0d4a9f8c37bf7
A003742
Number of 2-factors in O_5 X P_n.
[ "6", "327", "11040", "406731", "14683587", "532938234", "19313709882", "700238873703", "25384576377228", "920260033555854", "33361543878231264", "1209436952734137963", "43844979765366718719", "1589485790652572990865", "57622670964678806649843", "2088960040762846005003294" ]
[ "nonn", "easy" ]
27
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003742.seq
51c85f2d8baddb9e24661a7280b481fd
A003743
Number of Hamiltonian cycles in O_5 X P_n.
[ "6", "204", "4152", "90012", "1916640", "41086080", "878480688", "18801691584", "402251873664", "8607198763968", "184162678606848", "3940493249544192", "84313290894281472", "1804026190433055744", "38600161433802577920", "825915469757893794816", "17671849531462458580992" ]
[ "nonn", "easy" ]
27
1
1
null
null
Frans J. Faase
2024-05-17T18:28:26
oeisdata/seq/A003/A003743.seq
c4211dbe060c806a027e972165c161ee
A003744
Number of Hamiltonian paths in O_5 X P_n.
[ "36", "3960", "197172", "8372376", "313590732", "10961493288", "364496212992", "11715923002644", "367218115613412", "11297962590845364", "342721436917704060", "10284809936813182116", "306078425919342660924" ]
[ "nonn" ]
17
1
1
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003744.seq
39276fc7f95b789b9c691e8651e932fd
A003745
Number of spanning trees in (K_5 - e) X P_n.
[ "75", "128625", "199065600", "307147367625", "473862674071875", "731065883885568000", "1127873690900648512275", "1740060755637940344737625", "2684530596730102104276172800" ]
[ "nonn" ]
28
1
1
null
null
Frans J. Faase
2024-03-03T10:36:40
oeisdata/seq/A003/A003745.seq
a1e3938034aecaba31147b5b438f54a6
A003746
Number of spanning trees with degrees 1 and 3 in O_5 X P_2n.
[ "540", "1751352", "5386703316", "16582103036544", "51045000577926816", "157132783947988296192", "483704801377335372564480", "1488997578825205151673656448", "4583609224965381313988566950144" ]
[ "nonn" ]
15
1
1
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003746.seq
0c70cca0f7844d391f6c8141f047d4a7
A003747
Number of perfect matchings (or domino tilings) in K_5 X P_2n.
[ "56", "4181", "313501", "23508376", "1762814681", "132187592681", "9912306636376", "743290810135501", "55736898453526181", "4179524093204328056", "313408570091871078001", "23501463232797126522001", "1762296333889692618072056", "132148723578494149228882181", "9909391972053171499548091501" ]
[ "nonn", "easy" ]
28
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003747.seq
55dbdd7a9a0892f2f33f4f27130ed4a4
A003748
Number of 2-factors in K_5 X P_n.
[ "12", "814", "41278", "2169266", "113488662", "5940718514", "310952704838", "16276223002786", "851946706852182", "44593472067545554", "2334157405518854758", "122176869250651741826", "6395107433748612174582", "334739295101566253176754", "17521268695699930046150918", "917116278846033398175880546" ]
[ "nonn", "easy" ]
27
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003748.seq
66ca44929ec7d14b3d0d0ae9d04e783a
A003749
Number of Hamiltonian cycles in K_5 X P_n.
[ "12", "480", "13440", "382080", "10859520", "308651520", "8772556800", "249335408640", "7086662123520", "201418564362240", "5724759747624960", "162710295705845760", "4624585396735180800", "131440914657055211520", "3735840635158368092160" ]
[ "nonn", "easy" ]
25
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003749.seq
2535f2b6846cdbe65c38ba0ba8b526a4
A003750
Number of Hamiltonian paths in K_5 X P_n.
[ "60", "8760", "617400", "36021240", "1871009400", "90539967480", "4181860331640", "187073020183800", "8181829090755960", "352081040138505720", "14972983484769861240", "631272829225942738680", "26446059244840564688760", "1102721870861189212971000", "45821243162927769017364600" ]
[ "nonn", "easy" ]
25
1
1
null
null
Frans J. Faase
2020-06-23T14:32:15
oeisdata/seq/A003/A003750.seq
df9a1e33d931c185413fa60c12a880f2
A003751
Number of spanning trees in K_5 x P_n.
[ "125", "300125", "663552000", "1464514260125", "3232184906328125", "7133430745792512000", "15743478429512478120125", "34745849760772636969860125", "76684074678559433693601792000", "169241718069731503830237768828125", "373516395095822778319979141039280125" ]
[ "nonn" ]
29
1
1
null
null
Frans J. Faase
2023-08-23T09:37:13
oeisdata/seq/A003/A003751.seq
ec39671bbf71b0d1fc911de778756973
A003752
Number of Hamiltonian paths in C_4 X P_n.
[ "4", "72", "584", "4016", "24656", "140624", "761960", "3976704", "20173280", "100097008", "488003448", "2345542720", "11142878992", "52426883056", "244682331976", "1134222633280", "5227498311360", "23975219772016", "109500177006104", "498322800625728", "2260840364623472", "10230065398683632" ]
[ "nonn", "easy" ]
29
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003752.seq
c86b6f317dd9e3f4266c41b47aabdce7
A003753
Number of spanning trees in C_4 X P_n.
[ "4", "384", "31500", "2558976", "207746836", "16864848000", "1369080572444", "111141302329344", "9022397309950500", "732433860440996736", "59458627396289740076", "4826822683620921984000", "391839136544897998002484", "31809312044806091140235904", "2582264604005182130741437500" ]
[ "nonn" ]
34
1
1
[ "A003753", "A173958" ]
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003753.seq
7688d43576d01d88ef219e051433ca2c
A003754
Numbers with no adjacent 0's in binary expansion.
[ "0", "1", "2", "3", "5", "6", "7", "10", "11", "13", "14", "15", "21", "22", "23", "26", "27", "29", "30", "31", "42", "43", "45", "46", "47", "53", "54", "55", "58", "59", "61", "62", "63", "85", "86", "87", "90", "91", "93", "94", "95", "106", "107", "109", "110", "111", "117", "118", "119", "122", "123", "125", "126", "127", "170", "171", "173", "174", "175", "181" ]
[ "nonn", "easy", "base", "nice" ]
98
1
3
[ "A000071", "A000225", "A000975", "A001911", "A003726", "A003754", "A003796", "A004742", "A004743", "A004744", "A004745", "A004746", "A004753", "A007088", "A023416", "A023705", "A066099", "A087116", "A104326", "A107345", "A107359", "A107782", "A196168", "A280873", "A318928", "A333766" ]
null
N. J. A. Sloane
2022-09-17T14:29:03
oeisdata/seq/A003/A003754.seq
2bae703e7b9486055b254b2cbc4e047b
A003755
Number of spanning trees in S_4 X P_n.
[ "1", "54", "2240", "89964", "3596725", "143700480", "5740732439", "229334969304", "9161621922880", "365994298083150", "14620972301965259", "584087869159280640", "23333512405041243469", "932141942728566562746", "37237797134599264280000", "1487599121840339002010544", "59427552583207598523644161" ]
[ "nonn" ]
38
1
2
null
null
Frans J. Faase
2023-06-25T20:12:48
oeisdata/seq/A003/A003755.seq
f0a0fedad9f82eadfa3df8de3e2998e5
A003756
Number of spanning trees with degrees 1 and 3 in S_4 X P_{2n-1}.
[ "1", "0", "24", "54", "492", "1944", "11976", "57024", "313440", "1587168", "8417472", "43483392", "227995008", "1185394176", "6192642048", "32263570944", "168350991360", "877689686016", "4578049517568", "23872537976832", "124504626978816", "649282059657216", "3386128302882816", "17658788068196352" ]
[ "nonn", "easy" ]
23
1
3
null
null
Frans J. Faase; corrections Feb 07 2009
2019-01-27T21:33:10
oeisdata/seq/A003/A003756.seq
5b518798df1162be67ea2f6b5f0c1478
A003757
Number of perfect matchings (or domino tilings) in D_4 X P_(n-1).
[ "0", "1", "1", "6", "13", "49", "132", "433", "1261", "3942", "11809", "36289", "109824", "335425", "1018849", "3104934", "9443629", "28756657", "87504516", "266383153", "810723277", "2467770054", "7510988353", "22861948801", "69584925696", "211799836801", "644660351425" ]
[ "nonn" ]
44
0
4
null
null
Frans J. Faase
2023-03-21T12:52:35
oeisdata/seq/A003/A003757.seq
93516805ed754b53a5e46e92e1fd89c4
A003758
Number of 2-factors in D_4 X P_n.
[ "0", "3", "7", "46", "193", "963", "4470", "21367", "100909", "478924", "2268405", "10753173", "50957032", "241508575", "1144553203", "5424374574", "25707458901", "121834519567", "577405414054", "2736475971043", "12968875078785", "61462896633780" ]
[ "nonn" ]
16
1
2
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003758.seq
ee0982d954a9051095531b5065d4b022
A003759
Number of Hamiltonian cycles in D_4 X P_n.
[ "0", "2", "6", "24", "86", "320", "1176", "4340", "15994", "58970", "217388", "801426", "2954496", "10891960", "40153904", "148030026", "545722366", "2011841328", "7416784934", "27342464080", "100799786752", "371605023956", "1369946288898", "5050396829138" ]
[ "nonn" ]
23
1
2
null
null
Frans J. Faase, Mar 15 1996
2023-06-28T20:37:09
oeisdata/seq/A003/A003759.seq
23dc2b39f888d40b5f478d68d85e91d4
A003760
Number of Hamiltonian paths in D_4 X P_n.
[ "2", "40", "240", "1558", "8300", "43438", "212700", "1014700", "4691580", "21257258", "94520524", "414149254", "1791339472", "7664373014", "32481662616", "136520499746", "569599125312", "2361080470268", "9730117780704", "39888323454064" ]
[ "nonn" ]
14
1
1
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003760.seq
ef9056d9f70a342d27f35cab69522470
A003761
Number of spanning trees in D_4 X P_n.
[ "3", "270", "20160", "1477980", "108097935", "7903526400", "577834413429", "42245731959480", "3088601154192960", "225808743709815750", "16508958287605688193", "1206975861055570636800", "88242438021480689844999", "6451436286916714206370530", "471666820375043557337304000" ]
[ "nonn", "easy" ]
39
1
1
null
null
Frans J. Faase
2023-08-23T09:37:24
oeisdata/seq/A003/A003761.seq
43c8860b596153c2ca7c52f19383dccd
A003762
Number of spanning trees with degrees 1 and 3 in D_4 X P_n.
[ "1", "4", "16", "92", "432", "1884", "8582", "39736", "181936", "829672", "3793850", "17366388", "79441576", "363298928", "1661695126", "7601017276", "34767611570", "159026305464", "727389859704", "3327116203688", "15218354613018", "69609219627912" ]
[ "nonn", "easy" ]
27
1
2
null
null
Frans J. Faase
2020-06-23T14:31:25
oeisdata/seq/A003/A003762.seq
be7129835217569d3f5d3e9622355b59
A003763
Number of (undirected) Hamiltonian cycles on a 2n X 2n square grid of points.
[ "1", "6", "1072", "4638576", "467260456608", "1076226888605605706", "56126499620491437281263608", "65882516522625836326159786165530572", "1733926377888966183927790794055670829347983946", "1020460427390768793543026965678152831571073052662428097106" ]
[ "nonn", "walk" ]
91
1
2
[ "A003763", "A120443", "A140519", "A140521", "A222200", "A222201" ]
null
Jeffrey Shallit, Feb 14 2002
2025-02-16T08:32:27
oeisdata/seq/A003/A003763.seq
ca8a7e9eb99bae79ea948a75693834f4
A003764
Number of 2-factors in W_4 X P_n.
[ "1", "13", "85", "673", "5021", "38237", "289089", "2191309", "16594837", "125714929", "952245373", "7213225309", "54639088433", "413885098253", "3135127983381", "23748220228801", "179889887447581", "1362644200671133", "10321865130390817" ]
[ "nonn" ]
15
1
2
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003764.seq
f2b723e67e312a243f88c00b83a44dea
A003765
Number of Hamiltonian cycles in W_4 X P_n.
[ "1", "10", "46", "238", "1170", "5882", "29278", "146382", "730434", "3647994", "18212046", "90936494", "454029874", "2266968122", "11318785790", "56514147406", "282171551586", "1408866513082", "7034386262766", "35122279177902" ]
[ "nonn" ]
15
1
2
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003765.seq
e9aa6f533547f0d460c43c496b64921e
A003766
Number of Hamiltonian paths in W_4 X P_n.
[ "6", "152", "1608", "15420", "127980", "1003360", "7432708", "53294540", "371397240", "2537155684", "17047659916", "113102692016", "742597784164", "4835184613212", "31267479066856", "201066698078244", "1286998671857356", "8206523391863296" ]
[ "nonn" ]
14
1
1
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003766.seq
fccbde5ca0815db1a4e38101b5f79e88
A003767
Number of spanning trees in (K_4 - e) X P_n.
[ "8", "1152", "147000", "18643968", "2363741512", "299675376000", "37992808932728", "4816723274883072", "610663532419269000", "77419840899743388288", "9815277065807118267832", "1244379512520754017408000" ]
[ "nonn" ]
27
1
1
null
null
Frans J. Faase
2023-08-23T10:18:08
oeisdata/seq/A003/A003767.seq
c9a7f2cf89e675572f852aad16d14d77
A003768
Number of spanning trees with degrees 1 and 3 in W_4 X P_n.
[ "2", "16", "144", "1216", "10004", "82608", "682636", "5639688", "46590712", "384898384", "3179752720", "26268806752", "217013752672", "1792809557568", "14810886647616", "122356756509056", "1010822390349184", "8350678243197184", "68987220485229824", "569922160991852032" ]
[ "nonn", "easy" ]
49
1
1
null
null
Frans J. Faase
2022-09-08T08:44:32
oeisdata/seq/A003/A003768.seq
1ab77051aba5f060dc76977d17a8c5a5
A003769
Number of perfect matchings (or domino tilings) in K_4 X P_n.
[ "3", "16", "75", "361", "1728", "8281", "39675", "190096", "910803", "4363921", "20908800", "100180081", "479991603", "2299777936", "11018898075", "52794712441", "252954664128", "1211978608201", "5806938376875", "27822713276176", "133306628004003", "638710426743841", "3060245505715200" ]
[ "nonn", "easy" ]
23
1
1
[ "A003769", "A005386", "A099025" ]
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003769.seq
de015e2db154b0803361d06e9b943e2b
A003770
Number of 2-factors in K_4 X P_n.
[ "3", "42", "474", "5514", "63942", "741786", "8605014", "99822138", "1157982198", "13433121114", "155830324182", "1807702748538", "20970175374006", "243263587212186", "2821968429343638", "32736119315989434" ]
[ "nonn" ]
14
1
1
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003770.seq
7b2d708becab6984536f7bae6335a22c
A003771
Number of Hamiltonian cycles in K_4 X P_n.
[ "3", "30", "198", "1326", "8886", "59550", "399078", "2674446", "17922966", "120111870", "804937158", "5394336366", "36150480246", "242264688990", "1623551862438", "10880333659086", "72915231888726", "488645955902910", "3274691227542918", "21945546680994606", "147069444311876406", "985595016821145630" ]
[ "nonn", "easy" ]
23
1
1
null
null
Frans J. Faase
2023-09-10T21:04:47
oeisdata/seq/A003/A003771.seq
e8ba0696b9906a5abee40342489f5aec
A003772
Number of Hamiltonian paths in K_4 X P_n.
[ "12", "408", "6648", "90672", "1103088", "12509256", "135409896", "1419480288", "14545113696", "146607233784", "1460033574744", "14411647534224", "141321405768144", "1379055205227432", "13408489143753672", "130019327919243840", "1258252792162873152", "12158637295940721240" ]
[ "nonn", "easy" ]
28
1
1
null
null
Frans J. Faase
2022-03-02T02:09:35
oeisdata/seq/A003/A003772.seq
770f530e3724a92a2d10695d23a674ba
A003773
Number of spanning trees in K_4 X P_n.
[ "16", "3456", "686000", "135834624", "26894628304", "5325000912000", "1054323287943536", "208750686023540736", "41331581509440922000", "8183444388183674181504", "1620280657278860350213424", "320807386696826179092096000" ]
[ "nonn" ]
28
1
1
null
null
Frans J. Faase
2023-08-23T09:44:24
oeisdata/seq/A003/A003773.seq
cfcc08390609f050c145e8c8db96b705
A003774
Number of spanning trees with degrees 1 and 3 in K_4 X P_n.
[ "4", "48", "672", "8496", "106944", "1349760", "17032800", "214925952", "2712031104", "34221651456", "431824387584", "5448956749824", "68757417818112", "867612411420672", "10947928532312064", "138145948088696832" ]
[ "nonn" ]
19
1
1
null
null
Frans J. Faase
2023-06-25T20:15:27
oeisdata/seq/A003/A003774.seq
a371af54d50fdf5373f350450fccf1bb
A003775
Number of perfect matchings (or domino tilings) in P_5 X P_2n.
[ "1", "8", "95", "1183", "14824", "185921", "2332097", "29253160", "366944287", "4602858719", "57737128904", "724240365697", "9084693297025", "113956161827912", "1429438110270431", "17930520634652959", "224916047725262248", "2821291671062267585", "35389589910135145793", "443918325373278904936" ]
[ "nonn", "changed" ]
86
0
2
[ "A003775", "A099390", "A189003" ]
null
Frans J. Faase
2025-04-20T07:56:15
oeisdata/seq/A003/A003775.seq
a4e5463126f97e55b7a2f1aea66c62ad
A003776
Number of 2-factors in P_5 X P_2n.
[ "3", "54", "1140", "24360", "521064", "11146656", "238452456", "5101047216", "109123156248", "2334395822496", "49938107061384", "1068291209653392", "22853211220567416", "488882861126970624" ]
[ "nonn" ]
19
1
1
null
null
Frans J. Faase
2023-12-23T13:49:00
oeisdata/seq/A003/A003776.seq
9f7d49d06fff653a32b87a1b1bd0cf2f
A003777
a(n) = n^3 + n^2 - 1.
[ "1", "11", "35", "79", "149", "251", "391", "575", "809", "1099", "1451", "1871", "2365", "2939", "3599", "4351", "5201", "6155", "7219", "8399", "9701", "11131", "12695", "14399", "16249", "18251", "20411", "22735", "25229", "27899", "30751", "33791", "37025", "40459", "44099", "47951", "52021", "56315", "60839", "65599", "70601", "75851" ]
[ "nonn", "easy" ]
49
1
2
[ "A000578", "A001107", "A002411", "A003777", "A028294", "A028295", "A095794" ]
null
N. J. A. Sloane, Jun 14 1998
2024-07-20T19:23:14
oeisdata/seq/A003/A003777.seq
d5df0f9cdb4ea3e784905452ee219d0b
A003778
Number of Hamiltonian paths in P_5 X P_n.
[ "1", "22", "132", "1006", "4324", "26996", "109722", "602804", "2434670", "12287118", "49852352", "237425498", "969300694", "4434629912", "18203944458", "80978858522", "333840165288", "1456084764388", "6021921661718", "25904211802080" ]
[ "nonn" ]
26
1
2
[ "A003778", "A332307" ]
null
Frans J. Faase
2020-02-10T12:33:18
oeisdata/seq/A003/A003778.seq
28753882b2ee9b46255df5bd655be94d
A003779
Number of spanning trees in P_5 x P_n.
[ "1", "209", "30305", "4140081", "557568000", "74795194705", "10021992194369", "1342421467113969", "179796299139278305", "24080189412483072000", "3225041354570508955681", "431926215138756947267505", "57847355494807961811035009", "7747424602888405489208931601" ]
[ "nonn", "easy" ]
54
1
2
[ "A003779", "A116469", "A143699", "A159764", "A189005", "A241606" ]
null
Frans J. Faase
2024-12-19T09:05:43
oeisdata/seq/A003/A003779.seq
1dd12aa111b0b9e5721e8e7ffdb4c94d
A003780
Number of spanning trees with degrees 1 and 3 in P_5 X P_n.
[ "0", "0", "0", "0", "0", "296", "0", "0", "0", "70420", "0", "0", "0", "16391166", "0", "0", "0", "3816021084", "0", "0", "0", "888375830566", "0", "0", "0", "206814474641944", "0", "0", "0", "48146529005876746", "0", "0", "0", "11208539472498838244", "0", "0", "0", "2609354391828066201746", "0", "0", "0" ]
[ "nonn" ]
16
1
6
null
null
Frans J. Faase
2019-01-01T06:31:05
oeisdata/seq/A003/A003780.seq
cfeabcaa7529eca32588481bd9921783
A003781
Expansion of theta series of {E_7}* lattice in powers of q^(1/2).
[ "1", "0", "0", "56", "126", "0", "0", "576", "756", "0", "0", "1512", "2072", "0", "0", "4032", "4158", "0", "0", "5544", "7560", "0", "0", "12096", "11592", "0", "0", "13664", "16704", "0", "0", "24192", "24948", "0", "0", "27216", "31878", "0", "0", "44352", "39816", "0", "0", "41832", "55944", "0", "0", "72576", "66584", "0", "0", "67536", "76104", "0", "0", "100800" ]
[ "nonn", "nice" ]
25
0
4
[ "A003781", "A004008", "A005931", "A030443", "A038723" ]
null
N. J. A. Sloane
2025-02-16T08:32:27
oeisdata/seq/A003/A003781.seq
9ff62196991013e90658c78a22e82594
A003782
Coefficients of Jacobi Eisenstein series of index 1 and weight 6.
[ "1", "0", "0", "-88", "-330", "0", "0", "-4224", "-7524", "0", "0", "-30600", "-46552", "0", "0", "-130944", "-169290", "0", "0", "-355080", "-464904", "0", "0", "-899712", "-1052040", "0", "0", "-1732192", "-2099328", "0", "0", "-3421440", "-3859812", "0", "0", "-5593104" ]
[ "sign" ]
9
0
4
[ "A003782", "A003783" ]
null
N. J. A. Sloane
2023-10-22T16:40:46
oeisdata/seq/A003/A003782.seq
13e31a9c3d4d3ecc6c4da75cf0b87aee
A003783
Coefficients of Jacobi Eisenstein series of index 1 and weight 8.
[ "1", "0", "0", "56", "366", "0", "0", "14016", "33156", "0", "0", "260712", "462392", "0", "0", "1987392", "2998638", "0", "0", "9090984", "12799080", "0", "0", "31997376", "41846952", "0", "0", "89282144", "113936064", "0", "0", "222509952", "271647108", "0", "0", "482553936", "583789398" ]
[ "nonn" ]
14
0
4
[ "A003782", "A003783" ]
null
N. J. A. Sloane
2021-12-26T20:48:13
oeisdata/seq/A003/A003783.seq
7244d1b9001923cde664c6ebdaa226c4
A003784
Coefficients of Jacobi cusp form of index 1 and weight 10.
[ "0", "0", "0", "1", "-2", "0", "0", "-16", "36", "0", "0", "99", "-272", "0", "0", "-240", "1056", "0", "0", "-253", "-1800", "0", "0", "2736", "-1464", "0", "0", "-4284", "12544", "0", "0", "-6816", "-19008", "0", "0", "27270", "-4554", "0", "0", "-6864", "39880", "0", "0", "-66013", "-26928", "0", "0", "44064", "12544", "0", "0" ]
[ "sign" ]
24
0
5
[ "A003784", "A003785" ]
null
N. J. A. Sloane
2015-11-29T05:08:43
oeisdata/seq/A003/A003784.seq
0fdc2e8ef16a9e3dc3620fe02d295358
A003785
Coefficients of Jacobi cusp form of index 1 and weight 12.
[ "1", "10", "0", "0", "-88", "-132", "0", "0", "1275", "736", "0", "0", "-8040", "-2880", "0", "0", "24035", "13080", "0", "0", "-14136", "-54120", "0", "0", "-128844", "115456", "0", "0", "389520", "38016", "0", "0", "-256410", "-697950", "0", "0", "-806520", "963160", "0", "0", "1892363", "938400", "0", "0", "-1227600", "-2309120", "0", "0", "-813450", "-2813096", "0", "0" ]
[ "sign" ]
14
3
2
[ "A003784", "A003785" ]
null
N. J. A. Sloane, Mar 15 1996
2014-05-20T22:59:16
oeisdata/seq/A003/A003785.seq
d2547646964f4f506a37ea3df7606f88
A003786
Day-of-month at weekly intervals from Jan 01 of a leap year (a finite sequence with 53 terms).
[ "1", "8", "15", "22", "29", "5", "12", "19", "26", "4", "11", "18", "25", "1", "8", "15", "22", "29", "6", "13", "20", "27", "3", "10", "17", "24", "1", "8", "15", "22", "29", "5", "12", "19", "26", "2", "9", "16", "23", "30", "7", "14", "21", "28", "4", "11", "18", "25", "2", "9", "16", "23", "30" ]
[ "nonn", "fini", "full" ]
28
1
2
[ "A003786", "A008686" ]
null
N. J. A. Sloane, Olivier Gérard
2023-07-26T10:23:53
oeisdata/seq/A003/A003786.seq
c20797750800b1d6499f521cf6a04c2a
A003787
Order of universal Chevalley group A_n (3).
[ "1", "24", "5616", "12130560", "237783237120", "42064805779476480", "67034222101339041669120", "961721214905722855895197286400", "124190524600592082795473760093457612800", "144339416867688029764487130056208182629053235200" ]
[ "nonn", "easy" ]
27
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003787.seq
e9e74cd0263eb1cd61e2117abd0364cf
A003788
Order of universal Chevalley group A_n (4).
[ "1", "60", "60480", "987033600", "258492255436800", "1083930404878024704000", "72736898347485916060188672000", "78099458182389588115529148326215680000", "1341733356588640095264385107865053233298800640000" ]
[ "nonn", "easy" ]
29
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003788.seq
b7829eec9229d11a319093523e563b9f
A003789
Order of universal Chevalley group A_n (5).
[ "1", "120", "372000", "29016000000", "56653740000000000", "2766118855500000000000000", "3376566710423156250000000000000000", "103044374585338670859375000000000000000000000" ]
[ "nonn", "easy" ]
22
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003789.seq
774af55bac6bffb50f92c451829b5f65
A003790
Order of universal Chevalley group A_n (7).
[ "1", "336", "5630688", "4635182361600", "187035198320488089600", "369826556020831611935738265600", "35832085525362833262818017603275320524800", "170115000551935077294273059250893063598899496222720000" ]
[ "nonn", "easy" ]
22
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003790.seq
4f5ddb9951aadec3db283be30d293384
A003791
Order of universal Chevalley group A_n (8).
[ "1", "504", "16482816", "34558531338240", "4638226007491010887680", "39841906041871272087686291128320", "21903309038581548352789123727634573903790080" ]
[ "nonn", "easy" ]
23
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003791.seq
e2dda2d22f9eba1ab306d6db7ef1cb89
A003792
Order of universal Chevalley group A_n (9).
[ "1", "720", "42456960", "203039372390400", "78660280796419613491200", "2468438315722201136962330755072000", "6274437692242927471137606015213542491815936000", "1291851049702792234730057308758464452124128263449062932480000" ]
[ "nonn", "easy" ]
23
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003792.seq
62f685e9a1d9727ec381fe33a4acfd5a
A003793
Order of (usually) simple Chevalley group A_n (3).
[ "1", "12", "5616", "6065280", "237783237120", "21032402889738240", "67034222101339041669120", "480860607452861427947598643200", "124190524600592082795473760093457612800" ]
[ "nonn", "easy" ]
21
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003793.seq
8817824821836f4409e0196d99849fbf
A003794
Order of simple Chevalley group A_n (4).
[ "1", "60", "20160", "987033600", "258492255436800", "361310134959341568000", "72736898347485916060188672000", "78099458182389588115529148326215680000", "447244452196213365088128369288351077766266880000" ]
[ "nonn", "easy" ]
14
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003794.seq
f056674192a3942bd5ed5770c0349c14
A003795
Order of simple Chevalley group A_n (5).
[ "1", "60", "372000", "7254000000", "56653740000000000", "1383059427750000000000000", "3376566710423156250000000000000000", "25761093646334667714843750000000000000000000", "78616578542037111790447631835937500000000000000000000000" ]
[ "nonn", "easy" ]
14
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003795.seq
40469f587d6e21e87ea7cdc4ce508627
A003796
Numbers with no 3 adjacent 0's in binary expansion.
[ "0", "1", "2", "3", "4", "5", "6", "7", "9", "10", "11", "12", "13", "14", "15", "18", "19", "20", "21", "22", "23", "25", "26", "27", "28", "29", "30", "31", "36", "37", "38", "39", "41", "42", "43", "44", "45", "46", "47", "50", "51", "52", "53", "54", "55", "57", "58", "59", "60", "61", "62", "63", "73", "74", "75", "76", "77", "78", "79", "82", "83", "84", "85", "86", "87", "89", "90", "91", "92" ]
[ "nonn", "base", "easy" ]
30
1
3
[ "A003726", "A003754", "A003796", "A004742", "A004743", "A004744", "A004745", "A004746", "A004779", "A007088", "A063037" ]
null
N. J. A. Sloane
2022-02-13T06:38:21
oeisdata/seq/A003/A003796.seq
514648b115350623498e3379af2aad1c
A003797
Order of simple Chevalley group A_n (7).
[ "1", "168", "1876896", "2317591180800", "187035198320488089600", "61637759336805268655956377600", "35832085525362833262818017603275320524800", "85057500275967538647136529625446531799449748111360000" ]
[ "nonn", "easy" ]
14
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003797.seq
30e99cc87a6f49f1f869bafbf07b0a1b
A003798
Order of simple Chevalley group A_n (8).
[ "1", "504", "16482816", "34558531338240", "4638226007491010887680", "39841906041871272087686291128320", "3129044148368792621827017675376367700541440", "770654129255561941216424578913668563609374922170066534400" ]
[ "nonn", "easy" ]
14
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003798.seq
e89411104c057e5c60d99125c0d9d759
A003799
Order of simple Chevalley group A_n (9).
[ "1", "360", "42456960", "50759843097600", "78660280796419613491200", "1234219157861100568481165377536000", "6274437692242927471137606015213542491815936000", "161481381212849029341257163594808056515516032931132866560000" ]
[ "nonn", "easy" ]
15
0
2
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003799.seq
d011075094b7fc6692770faac50ed54f
A003800
Order of universal Chevalley group A_2 (q), q = prime power.
[ "168", "5616", "60480", "372000", "5630688", "16482816", "42456960", "212427600", "810534816", "4277145600", "6950204928", "16934047920", "78156525216", "152334000000", "282027786768", "499631102880", "851974934400", "1098404364288" ]
[ "nonn", "easy" ]
16
1
1
null
null
N. J. A. Sloane
2024-06-14T22:31:08
oeisdata/seq/A003/A003800.seq
58d1971772853e27b4bf3ba038bf4c2a