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⌀ | timestamp
timestamp[us]date 1999-12-11 03:00:00
2025-07-19 00:40:46
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32
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
A013501
|
Expansion of e.g.f.: exp(sec(x)-exp(x))=1-x+1/2!*x^2-2/3!*x^3+9/4!*x^4-32/5!*x^5...
|
[
"1",
"-1",
"1",
"-2",
"9",
"-32",
"157",
"-828",
"5481",
"-35496",
"290649",
"-2290840",
"22092829",
"-204459452",
"2273871485",
"-24119527604",
"303515669169",
"-3629239434576",
"50931449481777",
"-677485393669744",
"10484228007290613",
"-153504673218503140",
"2595681901243781013",
"-41471161060916985516",
"760471144497476539177",
"-13162910847523759863288"
] |
[
"sign"
] | 11 | 0 | 4 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-12-14T09:56:06 |
oeisdata/seq/A013/A013501.seq
|
6c57ace57258e2913a81a83141e70f81
|
A013502
|
exp(sec(x)-cosh(x))=1+4/4!*x^4+60/6!*x^6+1944/8!*x^8+100920/10!*x^10...
|
[
"1",
"0",
"4",
"60",
"1944",
"100920",
"7475884",
"751912980",
"98422975824",
"16234482600240",
"3291096841607764",
"803683798982126700",
"232547478441133195704",
"78638339747954023956360",
"30716698087655852509331644"
] |
[
"nonn"
] | 7 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2013-05-01T21:16:00 |
oeisdata/seq/A013/A013502.seq
|
153da5ad3ff78db9991a2d04d635f6f4
|
A013503
|
E.g.f. exp(sec(x)-sech(x)) (even powers only).
|
[
"1",
"2",
"12",
"242",
"8512",
"438722",
"34406592",
"3496736882",
"471749623552",
"79119810366722",
"16325059994068992",
"4053422315328489842",
"1187794482738667098112",
"407438035244753039317442",
"160833904474220565517811712",
"72690404080321962122585230322"
] |
[
"nonn"
] | 14 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2013-05-01T21:16:00 |
oeisdata/seq/A013/A013503.seq
|
4d62c037ad84c185eb954784aab9079c
|
A013504
|
sin(sec(x)-sech(x))=2/2!*x^2+2/6!*x^6-176158/10!*x^10...
|
[
"2",
"2",
"-176158",
"-1468303198",
"-23972242057918",
"-659094144077286718",
"-17783195610659060805598",
"2907154691514883581324639842",
"1898415071310817291664803882934402",
"1068476725686706833449994431404467473282",
"726967725616567229436454165277652418918762082"
] |
[
"sign"
] | 10 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2021-05-28T17:34:52 |
oeisdata/seq/A013/A013504.seq
|
d19ddd7446b1090537abb0879d17fecb
|
A013505
|
arcsin(sec(x)-sech(x))=2/2!*x^2+242/6!*x^6+680642/10!*x^10...
|
[
"2",
"242",
"680642",
"12295286642",
"793097630442242",
"133559779986589891442",
"48615807873566074448898242",
"33724812804150581105792438246642",
"40740665803925610662412399036224240642",
"80080558510702094594473104537545729044704242",
"242897198718040825682993782394774029906856140981442"
] |
[
"nonn"
] | 7 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2013-05-01T21:16:00 |
oeisdata/seq/A013/A013505.seq
|
f6f69b4ec9c834bff2643299f6ce68eb
|
A013506
|
tan(sec(x) - sech(x)) = 2/2!*x^2 + 362/6!*x^6 + 1199762/10!*x^10 ...
|
[
"2",
"362",
"1199762",
"19881945722",
"1018678051268642",
"125201903398211562122",
"31486196823329536613622962",
"14521097220214080357933048011162",
"11334671748951741252208875241156729922",
"14082992180269280951672083015859201930825642",
"26533369529542348661168440120005660275350301107922"
] |
[
"nonn"
] | 14 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2019-03-07T19:57:51 |
oeisdata/seq/A013/A013506.seq
|
64853df37c687bea19cf6d1ae27a92a1
|
A013507
|
arctan(sec(x)-sech(x))=2/2!*x^2-118/6!*x^6+211922/10!*x^10...
|
[
"2",
"-118",
"211922",
"-2213888038",
"77172528228002",
"-6766445807663391958",
"1253992673039461505620082",
"-436336713858380683384599647878",
"261578675637348900348123633263012162",
"-253097144684650665182970246742109780671798",
"375502662876362862713018285073925037696964948242"
] |
[
"sign",
"changed"
] | 10 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2025-07-16T19:42:34 |
oeisdata/seq/A013/A013507.seq
|
e887bacfb4792a692f3f1a2c2aaeafb7
|
A013508
|
cos(sec(x)-sech(x))=1-12/4!*x^4-5152/8!*x^8-7351872/12!*x^12...
|
[
"1",
"-12",
"-5152",
"-7351872",
"23844355328",
"2971598628507648",
"259172055916070309888",
"31874732857037574011240448",
"5625494806370311291378460131328",
"1331819025115560536529968068424368128",
"357000031318983624394235069073760267010048",
"30988128279193785865476747562711031784709029888"
] |
[
"sign"
] | 10 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2014-11-22T10:15:08 |
oeisdata/seq/A013/A013508.seq
|
f0b5a5e477b87142fbcaa383ceb1d3e1
|
A013509
|
sinh(sec(x)-sech(x))=2/2!*x^2+242/6!*x^6+438722/10!*x^10...
|
[
"2",
"242",
"438722",
"3496736882",
"79119810366722",
"4053422315328489842",
"407438035244753039317442",
"72690404080321962122585230322",
"21370388298881285712954829034618882",
"9777171935777119106864269918684468443122",
"6652045047862303555990692726103475288071112642"
] |
[
"nonn"
] | 9 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2022-09-24T12:31:01 |
oeisdata/seq/A013/A013509.seq
|
57202cd582ccaa4213a4d07f3bf4ab16
|
A013510
|
arcsinh(sec(x)-sech(x))=2/2!*x^2+2/6!*x^6+65762/10!*x^10...
|
[
"2",
"2",
"65762",
"-418934878",
"14989881142082",
"-1159565898643479358",
"201365713271464069504802",
"-65359378924390295271709921438",
"36977332162396361445823162953505922",
"-33930775864190349375460255092763386069118",
"47994298632572575541623806754970220542333977442"
] |
[
"sign"
] | 10 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2013-05-01T21:16:00 |
oeisdata/seq/A013/A013510.seq
|
daa68b0f19979e245ba3653005e6121f
|
A013511
|
tanh(sec(x)-sech(x))=2/2!*x^2-118/6!*x^6-29998/10!*x^10...
|
[
"2",
"-118",
"-29998",
"611334362",
"-1141045350238",
"-231711278648170198",
"7649386255065750464882",
"1186434281262233535413422202",
"-294894146013123744005989421634238",
"-35339306131583165000023092663749603638",
"51906656021441065578375756307601650588611602"
] |
[
"sign"
] | 10 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2015-12-29T19:32:07 |
oeisdata/seq/A013/A013511.seq
|
cd7664a478fa0c11ce282a709cd8d933
|
A013512
|
arctanh(sec(x)-sech(x))=2/2!*x^2+362/6!*x^6+1441682/10!*x^10...
|
[
"2",
"362",
"1441682",
"32555086202",
"2447023018597922",
"462534850269339720842",
"184789477601927787169878962",
"138612178386831070025588251376282",
"179134512141830902349787461672276596802"
] |
[
"nonn"
] | 6 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2012-03-30T17:26:41 |
oeisdata/seq/A013/A013512.seq
|
2c5640b86878e7b99cca42644f509f56
|
A013513
|
cosh(sec(x)-sech(x)) = 1+12/4!*x^4+8512/8!*x^8+34406592/12!*x^12...
|
[
"1",
"12",
"8512",
"34406592",
"471749623552",
"16325059994068992",
"1187794482738667098112",
"160833904474220565517811712",
"37152672501146694986367085576192",
"13716936936404675660073679524327063552",
"7693299929324832174022888419623013572411392",
"6292927164359183105695668653932580594051985702912"
] |
[
"nonn"
] | 10 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2017-03-14T17:26:36 |
oeisdata/seq/A013/A013513.seq
|
df940d5d837fb92d93c1833c2d8d6f67
|
A013514
|
sec(sec(x)-sech(x)) = 1+12/4!*x^4+15232/8!*x^8+128432832/12!*x^12...
|
[
"1",
"12",
"15232",
"128432832",
"3951670227712",
"322851365262723072",
"57788996387839852122112",
"19922979338554898934445228032",
"12060985210981195011358156168364032",
"11959494452317925171268058230736426893312",
"18398266125441128266076209600703368534212739072"
] |
[
"nonn"
] | 14 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2017-12-25T14:35:03 |
oeisdata/seq/A013/A013514.seq
|
aa3b76a5aaa8e2f8d131904f5cc30ff7
|
A013515
|
sech(sec(x)-sech(x))=1-12/4!*x^4+1568/8!*x^8+6840768/12!*x^12...
|
[
"1",
"-12",
"1568",
"6840768",
"-41485549312",
"-616649036623872",
"51689032519042469888",
"309411873154808535072768"
] |
[
"sign"
] | 9 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2015-08-02T21:09:16 |
oeisdata/seq/A013/A013515.seq
|
16580c676ef7c57dcce13503e81cff40
|
A013516
|
Denominators in the Taylor expansion exp(cosec(x)-cot(x))=1 + x/2 + x^2/8 + x^3/16 + 3*x^4/128 + 37*x^5/3840 + 59*x^6/15360 + ...
|
[
"1",
"2",
"8",
"16",
"128",
"3840",
"15360",
"92160",
"1474560",
"185794560",
"3715891200",
"117964800",
"2831155200",
"51011754393600",
"13603134504960",
"8569974738124800",
"1371195958099968000",
"46620662575398912000",
"239763407530622976000"
] |
[
"nonn",
"frac"
] | 18 | 0 | 2 |
[
"A002425",
"A006229",
"A013516"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2018-08-07T20:21:21 |
oeisdata/seq/A013/A013516.seq
|
93497b4a10e2ec9a6712279bece4ec08
|
A013517
|
Denominator of [x^(2n+1)] in the Taylor expansion sin(cosec(x)-cot(x))= x/2 + x^3/48 - x^5/1280 - 55*x^7/129024 - 143*x^9/1769472 + ...
|
[
"2",
"48",
"1280",
"129024",
"1769472",
"81749606400",
"4637432217600",
"3296144130048000",
"46620662575398912000",
"750318428272302489600",
"5639235345120252395520000",
"72287478143981475374039040000",
"7543041197632849604247552000000",
"1461479318123759876522171695104000000",
"4746884825265972078944013665697792000000"
] |
[
"nonn",
"frac"
] | 24 | 0 | 1 |
[
"A013517",
"A096664",
"A096671"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2019-03-18T09:51:43 |
oeisdata/seq/A013/A013517.seq
|
9345afd3164202ed4b7c717d2c273afd
|
A013518
|
Numerator of [x^(2n+1)] in the Taylor expansion arcsin(cosec(x)-cot(x)) = x/2 + x^3/16 + 3*x^5/256 + 83*x^7/30720 + 8887*x^9/12386304 + ...
|
[
"1",
"1",
"3",
"83",
"8887",
"57539",
"2419601",
"298733192941",
"84896691713",
"54207578317691",
"535009143553922969",
"303988210353762448529",
"39439620915967757710853",
"18146112662693896499335287481"
] |
[
"nonn",
"frac"
] | 27 | 0 | 3 |
[
"A013518",
"A089171"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T12:21:07 |
oeisdata/seq/A013/A013518.seq
|
1e1bc8671df6008622159c99b5e9eb59
|
A013519
|
Numerator of [x^(2n+1)] in the Taylor expansion tan(cosec(x)-cot(x)).
|
[
"1",
"1",
"3",
"181",
"59",
"3455",
"3332389",
"173339393",
"449509681",
"198232237033",
"1032475444411",
"101635950910031",
"71432133543444211",
"671713726985602398481"
] |
[
"nonn",
"frac"
] | 14 | 0 | 3 | null | null |
Patrick Demichel (patric.demichel(AT)hp.com)
| 2016-11-13T06:55:00 |
oeisdata/seq/A013/A013519.seq
|
482541f28ef9c12d1135cece7892e796
|
A013520
|
A problem in derangements.
|
[
"0",
"2",
"9",
"100",
"1237",
"18896",
"337663",
"6941194",
"161357425",
"4186540456",
"119942830785",
"3761004532550",
"128121728853479",
"4711881688294652",
"186065500280409423",
"7852240169544076190",
"352684377274345906213",
"16798134072300013751064"
] |
[
"nonn"
] | 11 | 0 | 2 | null | null |
N. J. A. Sloane
| 2014-12-22T02:53:22 |
oeisdata/seq/A013/A013520.seq
|
33bd6126fc175676b700a33f4f5787a7
|
A013521
|
Numerator of [x^(2n)] in the Taylor expansion cos(cosec(x)-cot(x))= 1-x^2/8 -7*x^4/384 -97*x^6/46080 -2063*x^8/10321920 -17803*x^10/1238630400 -....
|
[
"1",
"-1",
"-7",
"-97",
"-2063",
"-17803",
"-250781",
"166831871",
"43685848289",
"447550424579",
"84677077231169",
"11657476758734011",
"28924058075775365981",
"44287070229737735633567",
"305190813989360271816409"
] |
[
"sign",
"frac"
] | 15 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T08:08:19 |
oeisdata/seq/A013/A013521.seq
|
309b8b57223323ac0111f6c3112a17e2
|
A013522
|
Numerator of [x^(2n+1)] in the Taylor expansion sinh(cosec(x)-cotan(x))= x/2 +x^3/16 +37*x^5/3840 +137*x^7/92160 +41641*x^9/185794560 + 3887*x^11/117964800 +...
|
[
"1",
"1",
"37",
"137",
"41641",
"3887",
"241586893",
"5721418891",
"4315903789009",
"2832484672207",
"183184249105857781",
"2154299222076719401",
"1431144441595717024523",
"386845480523042818420133",
"21349170171172632123182767",
"38112676874301043070814698873",
"25659732417088795005806537367241"
] |
[
"nonn",
"frac"
] | 21 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2025-06-01T08:15:25 |
oeisdata/seq/A013/A013522.seq
|
9a557c6a2ad6146c405e72e8d5511c79
|
A013523
|
Denominator of [x^(2n+1)] in the Taylor expansion arcsinh(cosec(x) - cot(x)).
|
[
"2",
"48",
"768",
"645120",
"37158912",
"81749606400",
"784796221440",
"42849873690624000",
"548478383239987200",
"63777066403145711616000",
"4285818862291391820595200",
"216862434431944426122117120000",
"8007228348256409579893555200000",
"1461479318123759876522171695104000000"
] |
[
"nonn",
"frac"
] | 19 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:55:35 |
oeisdata/seq/A013/A013523.seq
|
d8b73858deddca16a8807c2e5c6e3ecf
|
A013524
|
Numerator of [x^(2n+1)] of the Taylor expansion tanh(cosec(x) - cot(x)).
|
[
"1",
"0",
"-1",
"-1",
"-1",
"13",
"7951",
"21599",
"-294997",
"-275833",
"-60527057",
"-6338125867",
"37620769159",
"10425684579701",
"5113538085001361",
"-25594556368763237",
"-6013201989263028181",
"-3771502911169983097219",
"18335649295377317231411",
"669255665793644548301365603"
] |
[
"sign",
"frac"
] | 25 | 0 | 6 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2024-08-04T04:15:19 |
oeisdata/seq/A013/A013524.seq
|
54bede6d2b7ce963cdb16b7d9d5ea79a
|
A013525
|
E.g.f.: x + (gdinv x - sinh x)/2, where gdinv = inverse-Gudermannian. Sequence has odd-indexed coefficients; others are zero.
|
[
"1",
"0",
"2",
"30",
"692",
"25260",
"1351382",
"99680490",
"9695756072",
"1202439837720",
"185185594118762",
"34674437196568950",
"7757267081778543452",
"2043536254646561946180",
"626129820701814932734142",
"220771946624511552276841410"
] |
[
"nonn",
"easy"
] | 16 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:20:44 |
oeisdata/seq/A013/A013525.seq
|
0715ce110aeeb00cb9917c0b0737e8ee
|
A013526
|
Numerator of [x^(2n)] of the Taylor expansion cosh(cosec(x)-cot(x))=1 +x^2/8 +3*x^4/128 +59*x^6/15360 +871*x^8/1474560 +....
|
[
"1",
"1",
"3",
"59",
"871",
"325249",
"35797",
"24362249",
"342232522657",
"8224154352439",
"23157229065769",
"9926476934520521",
"37638416003805990839",
"296699416391356495667713",
"691054566545631371393"
] |
[
"nonn",
"frac"
] | 13 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T09:00:50 |
oeisdata/seq/A013/A013526.seq
|
497f5c431c4d44bccfc29f6cb47ed098
|
A013527
|
Numerator of [x^(2n)] of the Taylor expansion sec(cosec(x)-cot(x)) = 1+ x^2/8 +13*x^4/384 +397*x^6/46080 +4453*x^8/2064384 + ... .
|
[
"1",
"1",
"13",
"397",
"4453",
"24649",
"12478897",
"47378857957",
"11289999097969",
"1143069714638779",
"1293273763150662781",
"15203530875840895739",
"46398798213229213203983",
"209490216975221386279672393",
"157153880464155360205476452597"
] |
[
"nonn",
"frac"
] | 13 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T19:26:33 |
oeisdata/seq/A013/A013527.seq
|
859633135818097e51ebb1e62ea158f9
|
A013528
|
Numerator of [x^(2n)] of the Taylor series sech(cosec(x)-cot(x)) = 1 -x^2/8 -x^4/128 +x^6/15360 +19*x^8/294912 +25031*x^10/3715891200+... .
|
[
"1",
"-1",
"-1",
"1",
"19",
"25031",
"18421",
"-622177",
"-283401163",
"-24826632949",
"-2243454779",
"4882905709651",
"43798187793808543",
"-46704901267812186793",
"-5325187532598955153807"
] |
[
"sign",
"frac"
] | 14 | 0 | 5 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T18:08:33 |
oeisdata/seq/A013/A013528.seq
|
642aec987fc9b68067b9211913ded8a3
|
A013529
|
Numerator of [x^n] in the Taylor expansion exp(cosec(x) - cosech(x)) = 1 + x/3 + x^2/18 + x^3/162 + x^4/1944 + 211*x^5/51030 + ...
|
[
"1",
"1",
"1",
"1",
"1",
"211",
"5029",
"157",
"6697",
"439801",
"375719873",
"8013839",
"186044689",
"890107609",
"1770350411",
"1552280998637",
"102625697881591",
"76919615326361",
"15912188224095499151",
"25930051873454543",
"1419184560088744177499",
"659157886816533334709",
"323645955378411578735051",
"1513017447627551117359",
"935339682040604214800761",
"6612344442139455641066609",
"36813244507954712597112169117",
"112537977176478238359834596179",
"45816041290074218754101655557981"
] |
[
"nonn",
"frac"
] | 16 | 0 | 6 |
[
"A013529",
"A068917"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-11T21:27:36 |
oeisdata/seq/A013/A013529.seq
|
91d7457b15119f748071eeeeab6b40ee
|
A013530
|
Numerator of [x^(2n+1)] of the Taylor expansion sin(cosec(x) - cosech(x)) = x/3 - x^3/162 + 211*x^5/51030 -157*x^7/688905 + 439801*x^9/9821029680 - ...
|
[
"1",
"-1",
"211",
"-157",
"439801",
"-8013839",
"890107609",
"-1552280998637",
"76919615326361",
"-25930051873454543",
"659157886816533334709",
"-1513017447627551117359",
"6612344442139455641066609",
"-112537977176478238359834596179"
] |
[
"sign",
"frac"
] | 16 | 0 | 3 |
[
"A013530",
"A068917"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-11T21:48:36 |
oeisdata/seq/A013/A013530.seq
|
277682e125574dd4bb6c9f1e2eeb547a
|
A013531
|
Numerator of [x^(2n+1)] in the Taylor expansion arcsin(cosec(x) - cosech(x)) = x/3 + x^3/162 + 5*x^5/1134 + 19*x^7/76545 + 13793*x^9/218245104 + ...
|
[
"1",
"1",
"5",
"19",
"13793",
"7487",
"235549",
"4400752781",
"1455564577",
"75143281206379",
"17910727755514921",
"208450205999558953",
"8864292850179951461",
"36884532202496983982602507"
] |
[
"nonn",
"frac"
] | 14 | 0 | 3 |
[
"A013531",
"A068917"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-11T21:25:03 |
oeisdata/seq/A013/A013531.seq
|
b3e893de565a3c21c3b8ae4d3a0e81df
|
A013532
|
Numerator of [x^(2n+1)] in the Taylor series tan(cosec(x)-cosech(x)) = x/3 +x^3/81 +949*x^5/204120 +2647*x^7/5511240+... .
|
[
"1",
"1",
"949",
"2647",
"6091583",
"309884803",
"24257706533",
"19423358539261",
"264554745901944637",
"217615549372227323",
"1019034322058704876807657",
"1439067424977073452007609",
"742090435456946501950120739",
"92447561714992144826576923831967"
] |
[
"nonn",
"frac"
] | 12 | 0 | 3 |
[
"A013532",
"A068917"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T19:53:11 |
oeisdata/seq/A013/A013532.seq
|
254d23ab7e35e8cf665383e2d1c45966
|
A013533
|
Numerator of [x^(2n+1)] in the Taylor expansion arctan(cosec(x) - cosech(x)).
|
[
"1",
"-1",
"67",
"-319",
"172747",
"-5036627",
"12689179",
"-142848518639",
"9522619510673",
"-15014600586761717",
"98523462918652219853",
"-281638034717631160979",
"20971906033995645898061",
"-1307646596002305911998781633"
] |
[
"sign",
"frac"
] | 18 | 0 | 3 |
[
"A013533",
"A068917"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:55:50 |
oeisdata/seq/A013/A013533.seq
|
b0e6ff1a436369b544b334422e6e4313
|
A013534
|
Numerator of [x^(2n)] in the Taylor expansion cos(cosec(x) - cosech(x)).
|
[
"1",
"-1",
"1",
"-5029",
"6697",
"-375719873",
"186044689",
"-1770350411",
"102625697881591",
"-15912188224095499151",
"1419184560088744177499",
"-323645955378411578735051",
"935339682040604214800761",
"-36813244507954712597112169117",
"45816041290074218754101655557981"
] |
[
"sign",
"frac"
] | 17 | 0 | 4 |
[
"A013534",
"A068917"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:57:36 |
oeisdata/seq/A013/A013534.seq
|
c68adc270c8f6bcccd757c2570bf1657
|
A013535
|
Numerator of the coefficient [x^(2n)] in the Taylor series sec(cosec(x) - cosech(x)).
|
[
"1",
"1",
"5",
"5449",
"6973",
"518819753",
"1489058191",
"293416964947",
"2531578641757",
"8778884852410565513",
"2503198198587351877067",
"2378459715706347981795671",
"2343990771779851025499037",
"521048260968673067986908628597",
"35145358095152621756454620279473"
] |
[
"nonn",
"frac"
] | 20 | 0 | 3 |
[
"A013535",
"A068917"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:58:45 |
oeisdata/seq/A013/A013535.seq
|
9cce6a8c317c4607021b8873130a5e32
|
A013536
|
Numerators of coefficients in Taylor series expansion of exp(cosec(x)-cotanh(x)).
|
[
"1",
"-1",
"1",
"53",
"-215",
"3341",
"199159",
"391337",
"-4128623",
"710371933",
"257347648013",
"6178130243",
"-111384981593",
"225570264096917",
"1407269115959761",
"1546226961439379",
"69849267671401979",
"5665951032145572087083",
"467410556088873329284747",
"-1602619428542796266047",
"429563383515510620615310131",
"218332153959703843484481031721"
] |
[
"sign",
"frac"
] | 23 | 0 | 4 |
[
"A013536",
"A202382"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2014-03-25T02:24:56 |
oeisdata/seq/A013/A013536.seq
|
a5a714791b5262f01865d241a01f0765
|
A013537
|
Numerator of [x^(2n+1)] of the Taylor expansion sin(cosec(x)-coth(x)).
|
[
"-1",
"55",
"-4219",
"802171",
"-109684277",
"760100160121",
"-265779449377027",
"417652078505070229",
"-7396136516120375032117",
"1432995839205684739321951",
"-63523043223346003438419401363",
"2351819493900615585072181702093"
] |
[
"sign",
"frac"
] | 17 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:58:20 |
oeisdata/seq/A013/A013537.seq
|
0d75f5b13967d8848d36edbf928b232c
|
A013538
|
Numerator of [x^(2*n + 1)] in the Taylor series expansion of arcsin(cosec(x) - cotanh(x)).
|
[
"-1",
"53",
"73",
"45137",
"11226497",
"129163393",
"474807665",
"198247921612319",
"618559606844489",
"395129918156594369761",
"2883495145728730085501149",
"704455206007099333581073",
"4366595916673463219275798447",
"10742815369857597784418536545975463"
] |
[
"sign",
"frac"
] | 26 | 0 | 2 |
[
"A013538",
"A202381"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:57:21 |
oeisdata/seq/A013/A013538.seq
|
1f04d68c77e1c56a62171d514fded8aa
|
A013539
|
Numerator of the coefficient [x^(2n+1)] of the Taylor series tan(cosec(x)-coth(x)).
|
[
"-1",
"13",
"877",
"2675",
"8260913",
"410433607",
"223758294041",
"27276568423051",
"127639993821278611",
"10512596641186789291",
"8302408982767874894797",
"3077103479886222660379217"
] |
[
"sign",
"frac"
] | 18 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:57:52 |
oeisdata/seq/A013/A013539.seq
|
4057863942376f39b56e5c4b1f2a9ee4
|
A013540
|
Numerator of the coefficient [x^(2n+1)] of the Taylor series arctan(cosec(x) - coth(x)).
|
[
"-1",
"7",
"-17",
"913",
"-93959",
"9405719",
"-8909477",
"211410621413",
"-6740064210937",
"2805742760628347",
"-761503407533329723",
"340317674208644677253",
"-38791272133810800467",
"1468818906393936912860264741"
] |
[
"sign",
"frac"
] | 17 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:58:09 |
oeisdata/seq/A013/A013540.seq
|
701acdfa9b53e1f1fbcd61efd22a1482
|
A013541
|
Numerator of the coefficient [x^(2n)] of the Taylor series cos(cosec(x) - coth(x)).
|
[
"1",
"-1",
"217",
"-214279",
"824071",
"-337533513773",
"8320611986431",
"-2303253020856673",
"7111553692366818727",
"-4825610634542923917792887",
"6031202702741413913839327",
"-1707209475196496091030335944673"
] |
[
"sign",
"frac"
] | 18 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:56:03 |
oeisdata/seq/A013/A013541.seq
|
381f24f741ced3e9f12eac380b0b2351
|
A013542
|
Numerator of the coefficient [x^(2n+1)] of the Taylor series sinh(cosec(x) - coth(x)).
|
[
"-1",
"53",
"3341",
"391337",
"710371933",
"6178130243",
"225570264096917",
"1546226961439379",
"5665951032145572087083",
"-1602619428542796266047",
"218332153959703843484481031721",
"-149315097238822774731841867"
] |
[
"sign",
"frac"
] | 18 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:56:42 |
oeisdata/seq/A013/A013542.seq
|
ea90248dbbf1a1c0f8004daa6badd603
|
A013543
|
Numerator of the coefficient [x^(2n+1)] of the Taylor series arcsinh(cosec(x) - coth(x)).
|
[
"-1",
"55",
"-95",
"18167",
"-22118287",
"51054985",
"-10169116451",
"211416785949641",
"-36975734097804001",
"764839113579826244863",
"-45988950723178614316250507",
"61286790868827586032169553",
"-25771544562210083470157315437"
] |
[
"sign",
"frac"
] | 18 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T06:56:20 |
oeisdata/seq/A013/A013543.seq
|
46746896899519edd29dfbdbbc0ebc3f
|
A013544
|
Numerator of the coefficient [x^(2n+1)] of tanh(cosec(x)-coth(x)).
|
[
"-1",
"7",
"-1013",
"64763",
"-3009173",
"5341411709",
"-857007547621",
"28828641126011",
"-1030088087041163819",
"108508429719458111069",
"-2005462402042629244533103",
"41348510060126079043949299",
"-132583025047910486114666220223"
] |
[
"sign",
"frac"
] | 14 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T14:42:41 |
oeisdata/seq/A013/A013544.seq
|
c24db4f4305a3e1297069f6001b08994
|
A013545
|
Numerator of the coefficient [x^(2n+1)] of the Taylor series arctanh(cosec(x) - coth(x)).
|
[
"-1",
"13",
"29",
"397",
"74927",
"2570951",
"495301",
"2978520989",
"879781928617",
"1962442468445621",
"4485273725677799419",
"17810142018975186977"
] |
[
"sign",
"frac"
] | 18 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-15T03:21:23 |
oeisdata/seq/A013/A013545.seq
|
62663fb6017ee77b824c514d9b961efb
|
A013546
|
Numerator of [x^(2n)] in the Taylor expansion cosh(cosec(x)-coth(x))=1 +x^2/72 -215*x^4/31104 +199159*x^6/235146240-...
|
[
"1",
"1",
"-215",
"199159",
"-4128623",
"257347648013",
"-111384981593",
"1407269115959761",
"69849267671401979",
"467410556088873329284747",
"429563383515510620615310131",
"652256640736921402479041889329",
"137438707390027290209533044701",
"432938003151091640246284451153923",
"5720446637387424876679468922735017734533"
] |
[
"sign",
"frac"
] | 12 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T08:11:52 |
oeisdata/seq/A013/A013546.seq
|
ddc399835a872097f93e76d96ac21175
|
A013547
|
Numerator of the coefficient [x^(2n)] of the Taylor expansion sec(cosec(x)-coth(x))= 1+x^2/72 -211*x^4/31104 +169339*x^6/235146240 -205787*x^8/13544423424+...
|
[
"1",
"1",
"-211",
"169339",
"-205787",
"124654123973",
"4233334384067",
"458968419865477",
"460700758945363763",
"1003433160159825045756551",
"1160527066076017343605453327",
"537107192671326620106145350461",
"11100661279966114788004381836713",
"90437772951214017777023420366691881"
] |
[
"sign",
"frac"
] | 12 | 0 | 3 |
[
"A013547",
"A202382"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2025-06-26T14:46:49 |
oeisdata/seq/A013/A013547.seq
|
d7e33c29f8661e7d2e6f5b9f039042ce
|
A013548
|
Numerator of [x^(2n)] of the Taylor series sech(cosec(x)-coth(x))= 1-x^2/72 +221*x^4/31104 +244939*x^6/235146240 +1846213*x^8/13544423424-...
|
[
"1",
"-1",
"221",
"-244939",
"1846213",
"-526960582373",
"23968139993843",
"-5189795464140757",
"36594801159269740631",
"-16691319229288614334663751",
"11409300606349966887237659743",
"-198510162914463324156683262269"
] |
[
"sign",
"frac"
] | 11 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T08:11:58 |
oeisdata/seq/A013/A013548.seq
|
fb97c32622ed103f4b74cc0f8dc3b183
|
A013549
|
Incorrect version of A000085.
|
[
"1",
"2",
"4",
"10",
"41",
"76"
] |
[
"dead"
] | 24 | 1 | 2 | null | null | null | 2023-10-28T08:54:13 |
oeisdata/seq/A013/A013549.seq
|
c63c07c308543f5a0bc19407f622f9d9
|
A013550
|
Numerator of the coefficient of [x^n] in the Taylor expansion exp(cot(x) - cosech(x)).
|
[
"1",
"-1",
"1",
"-55",
"217",
"-4219",
"214279",
"-802171",
"824071",
"-109684277",
"337533513773",
"-760100160121",
"8320611986431",
"-265779449377027",
"2303253020856673",
"-417652078505070229",
"7111553692366818727",
"-7396136516120375032117"
] |
[
"sign",
"frac"
] | 15 | 0 | 4 |
[
"A013537",
"A013541",
"A013550"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T15:56:32 |
oeisdata/seq/A013/A013550.seq
|
7b6a6838646e318b120d2f33ec79572b
|
A013551
|
Numerator of [x^n] in the Taylor expansion exp(cot(x)-coth(x))= 1-2*x/3 +2x^2/9 -4*x^3/81 +2*x^4/243 -136*x^5/25515 +676*x^6/229635 -...
|
[
"1",
"-2",
"2",
"-4",
"2",
"-136",
"676",
"-656",
"62",
"-47672",
"2714132",
"-3091664",
"7223932",
"-16788784",
"120994136",
"-15764283616",
"13831453742",
"-3729134588968",
"463898158095404",
"-119174509180016"
] |
[
"sign",
"frac"
] | 11 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T08:12:11 |
oeisdata/seq/A013/A013551.seq
|
e2d4f1a996382fa1925d1d762c507621
|
A013552
|
Numerator of [x^(2n+1)] of the Taylor series sin(cot(x)-coth(x)).
|
[
"-2",
"4",
"-136",
"656",
"-47672",
"3091664",
"-16788784",
"15764283616",
"-3729134588968",
"119174509180016",
"-1148737050343959536",
"149765188779100064",
"-756009870577278864656",
"3746439312393916961802272"
] |
[
"sign",
"frac"
] | 14 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T17:03:25 |
oeisdata/seq/A013/A013552.seq
|
fc1c62fea71c60d02acb96b1a4bf281b
|
A013553
|
Numerator of [x^(2n+1)] of the Taylor expansion -arcsin(cot(x)-coth(x)).
|
[
"2",
"4",
"8",
"272",
"15640",
"103504",
"203248",
"4712878048",
"994787896",
"29947918028368",
"19403266491914896",
"44494589501437664",
"1343012003853467792",
"940284256279455687458272",
"18264529537961367195872",
"13625209118796335138813851456"
] |
[
"nonn",
"frac"
] | 13 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-13T17:09:13 |
oeisdata/seq/A013/A013553.seq
|
ddc7e4028f2c9756a1ed149c19faed20
|
A013554
|
Numerator of [x^(2n+1)] in the Taylor expansion -tan(cot(x)-coth(x))= 2*x/3 +8*x^3/81 +556*x^5/25515 +496*x^7/98415 +717572*x^9/613814355 +...
|
[
"2",
"8",
"556",
"496",
"717572",
"52939408",
"870202072",
"964225030112",
"657454597470988",
"27485377040128048",
"700808303776317525176",
"1479866177061564649568",
"1640650015131154843789016",
"13376815891310731844679270304",
"25395222315410089406698868631728"
] |
[
"nonn",
"frac"
] | 14 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2024-08-04T04:15:40 |
oeisdata/seq/A013/A013554.seq
|
a12fc1e7b0d5d6300bbae7abf9de3669
|
A013555
|
Numerator of [x^(2n+1)] of the Taylor series arctan(cot(x)-coth(x))= -2*x/3 +8*x^3/81 -52*x^5/1701 +112*x^7/10935 -51412*x^9/13640319+...
|
[
"-2",
"8",
"-52",
"112",
"-51412",
"3469712",
"-2491688",
"62534458528",
"-22811578796",
"1052637839125232",
"-1951793355443020696",
"1800318713817966304",
"-132444323199647003032",
"130585857053193268706729632",
"-9112129339306147838595664"
] |
[
"sign",
"frac"
] | 11 | 0 | 1 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T08:12:36 |
oeisdata/seq/A013/A013555.seq
|
7339c21a27ac84a50f9667e07c3d3e4e
|
A013556
|
Numerator of [x^(2n)] of the Taylor series cos(cot(x)-coth(x))= 1 -2*x^2/9 +2*x^4/243 -676*x^6/229635 +62*x^8/295245 -...
|
[
"1",
"-2",
"2",
"-676",
"62",
"-2714132",
"7223932",
"-120994136",
"13831453742",
"-463898158095404",
"1539871314859772",
"-1284535259155106488",
"5072225817430199548",
"-10084534723769793975176",
"4033550950013006300665768",
"-325181210925396330786544500464",
"435279229771188834270330121078"
] |
[
"sign",
"frac"
] | 14 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T04:50:15 |
oeisdata/seq/A013/A013556.seq
|
885af0cfbc5878f1752a22c6b973e27d
|
A013557
|
Numerator of [x^(2n)] of the Taylor series sec(cot(x)-coth(x))= 1 +2*x^2/9 +10*x^4/243 +2356*x^6/229635 +986*x^8/413343+...
|
[
"1",
"2",
"10",
"2356",
"986",
"36236852",
"45967324",
"6310668536",
"55999847998",
"13505508015664052",
"73561146096203972",
"1018280445612115249048",
"184320514834002228148",
"30993244629183109104307016"
] |
[
"nonn",
"frac"
] | 12 | 0 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-12T08:12:45 |
oeisdata/seq/A013/A013557.seq
|
7ae04cd1882a7ba44fb50db63a138ba2
|
A013558
|
E.g.f. -log(sech(x) - log(x+1)).
|
[
"0",
"1",
"1",
"4",
"3",
"33",
"155",
"1195",
"5418",
"72373",
"496027",
"6851051",
"59706592",
"986009607",
"10430165629",
"193892831665",
"2439695949632",
"50409517110169",
"737532991565959",
"16755308524034767",
"279581740874221016"
] |
[
"nonn"
] | 19 | 0 | 4 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-14T03:26:52 |
oeisdata/seq/A013/A013558.seq
|
d4e7eb551abf718fb18de905cf9e34f2
|
A013559
|
Numerator of [x^n] in the Taylor expansion of exp(cosech(x)-coth(x)).
|
[
"1",
"-1",
"1",
"1",
"-7",
"1",
"97",
"-55",
"-2063",
"143",
"17803",
"-968167",
"-250781",
"7000033",
"-166831871",
"-571772647",
"43685848289",
"843598411471",
"-447550424579",
"-1263845119891",
"84677077231169",
"740683182137153",
"-11657476758734011",
"-474904166544135457",
"28924058075775365981",
"-2379183287545454197"
] |
[
"sign"
] | 23 | 0 | 5 |
[
"A013521",
"A013559",
"A096664"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-14T14:01:53 |
oeisdata/seq/A013/A013559.seq
|
882baf6f67774df6cf98f512b9385159
|
A013560
|
Cardinality of the permutation (k, k-1, ..., 2, 1)(n, n-1, ..., k+1) in an exchange shuffle applied in all n^n possible ways to (1,2,...,n).
|
[
"1",
"2",
"5",
"15",
"47",
"159",
"543",
"1931",
"6879",
"25118",
"91693"
] |
[
"nonn",
"more",
"changed"
] | 15 | 1 | 2 |
[
"A013560",
"A192053"
] | null |
N. J. A. Sloane
| 2025-07-08T02:47:46 |
oeisdata/seq/A013/A013560.seq
|
6c8dfb5b008c6c8c02400c899bb88551
|
A013561
|
Erroneous version of A348211.
|
[
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"11",
"11",
"1",
"1",
"31",
"90",
"31",
"1",
"1",
"85",
"544",
"544",
"85",
"1",
"1",
"225",
"2997",
"6559",
"2997",
"225",
"1"
] |
[
"dead"
] | 25 | 3 | 5 | null | null | null | 2021-10-07T14:59:35 |
oeisdata/seq/A013/A013561.seq
|
533df3b6143fb0387b1978580be93890
|
A013562
|
E.g.f. arcsin(log(x+1)/exp(x)).
|
[
"0",
"1",
"-3",
"9",
"-42",
"313",
"-3025",
"35091",
"-482468",
"7704257",
"-139729063",
"2834494245",
"-63612631742",
"1564879314945",
"-41866671551549",
"1210176423684151",
"-37583615159233544",
"1248017801182054753",
"-44124684998406215691"
] |
[
"sign"
] | 20 | 0 | 3 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com), Dec 11 1996
| 2016-11-14T03:25:03 |
oeisdata/seq/A013/A013562.seq
|
8c7f222095d94d7dafd0800f004ff166
|
A013563
|
Expansion of e.g.f. arctan(log(x+1)/exp(x)).
|
[
"1",
"-3",
"6",
"12",
"-317",
"2915",
"-11886",
"-171920",
"5115653",
"-68721223",
"210613062",
"17051988316",
"-550238104665",
"8495695565695",
"24062949136594",
"-6101110377673856",
"206210494097275657",
"-3111467353854907467"
] |
[
"sign"
] | 14 | 1 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com), Dec 11 1996
| 2023-04-26T11:47:02 |
oeisdata/seq/A013/A013563.seq
|
b765ee9d62775bda5b01c3a48efbdb96
|
A013564
|
Expansion of e.g.f. arcsinh(log(x+1)/exp(x)).
|
[
"1",
"-3",
"7",
"-6",
"-117",
"1385",
"-8297",
"-25956",
"1648321",
"-27076303",
"193866363",
"3316610110",
"-155740823565",
"3027137980477",
"-15561540714197",
"-1235594001526472",
"54043406644859329",
"-1102221843621842235"
] |
[
"sign"
] | 17 | 1 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com), Dec 11 1996
| 2023-03-15T14:57:10 |
oeisdata/seq/A013/A013564.seq
|
07e72f8a699ae8c79f64fc8affa62dff
|
A013565
|
E.g.f. arctanh(log(x+1)/exp(x)).
|
[
"1",
"-3",
"10",
"-60",
"543",
"-5905",
"75430",
"-1130304",
"19427485",
"-375334543",
"8051851146",
"-190026879548",
"4892935459995",
"-136482933172157",
"4099807995824710",
"-131951024352136160",
"4529936084197057465"
] |
[
"sign"
] | 24 | 1 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com), Dec 11 1996
| 2016-11-19T03:08:43 |
oeisdata/seq/A013/A013565.seq
|
47eee45d0fa6c31bf274376afc7e378c
|
A013566
|
Expansion of e.g.f. sec(log(x+1)/exp(x)).
|
[
"1",
"0",
"1",
"-9",
"64",
"-510",
"5140",
"-62650",
"868516",
"-13417104",
"229831820",
"-4334605748",
"89205406112",
"-1988081805528",
"47701228486496",
"-1226141059648440",
"33617215231898512",
"-979251053876769920",
"30201854389236416848"
] |
[
"sign"
] | 13 | 0 | 4 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2023-03-02T12:47:36 |
oeisdata/seq/A013/A013566.seq
|
39219f7be81ba61970ec41c96be645e3
|
A013567
|
E.g.f. sech(log(x+1)/exp(x)).
|
[
"1",
"0",
"-1",
"9",
"-54",
"210",
"510",
"-24500",
"355544",
"-3310776",
"7970880",
"511460048",
"-14772993312",
"247420878848",
"-2080751146656",
"-34093875419760",
"2085552636479488",
"-56037789835944320",
"880848150693672192"
] |
[
"sign"
] | 16 | 0 | 4 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com), Dec 11 1996
| 2016-11-19T03:09:16 |
oeisdata/seq/A013/A013567.seq
|
bb26dbb929f343dc567f3dbcb5b2c7a3
|
A013568
|
Almost certainly an erroneous version of A317209.
|
[
"1",
"0",
"0",
"0",
"7",
"-665",
"219",
"-598",
"11570",
"-5357968",
"995254",
"-4960662",
"126624718",
"-783821598",
"22344623929",
"-166137700653",
"5222279193717",
"-16426560893778654",
"1561364880901471",
"-15643758252397591"
] |
[
"sign"
] | 22 | 0 | 5 |
[
"A013568",
"A317209"
] | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2018-08-10T09:59:25 |
oeisdata/seq/A013/A013568.seq
|
5792b282ca08dcfbe6cb217c9622945d
|
A013569
|
Expansion of e.g.f. exp(arcsin(x)/exp(x)).
|
[
"1",
"1",
"-1",
"-1",
"9",
"-15",
"-25",
"471",
"-1295",
"3329",
"65647",
"-98129",
"3713721",
"33219953",
"270347415",
"6061172807",
"68349644129",
"1202915380097",
"19022739778399",
"352452078288991",
"6138793986311401",
"130474490203385201"
] |
[
"sign"
] | 10 | 0 | 5 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-20T03:51:46 |
oeisdata/seq/A013/A013569.seq
|
e59e10f5858aa8c3e27ec1644e4a2f73
|
A013570
|
Numerator of [x^n] of the Taylor series log(arctan(x)/log(x+1)).
|
[
"1",
"-13",
"1",
"11",
"19",
"-10243",
"751",
"49873",
"2857",
"-72752269",
"434293",
"1524997",
"8181904909",
"-454156185199",
"5044289",
"23214243090113",
"5026792806787",
"-2652186577877894731",
"69028763155644023"
] |
[
"sign",
"frac"
] | 13 | 1 | 2 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-20T03:21:50 |
oeisdata/seq/A013/A013570.seq
|
289cdc1f29c0834e49c90fdce32a6f73
|
A013571
|
Expansion of e.g.f. exp(arctan(x)/exp(x)).
|
[
"1",
"1",
"-1",
"-4",
"9",
"60",
"-175",
"-2154",
"6433",
"140984",
"-404063",
"-14300174",
"38333361",
"2070386084",
"-5007071823",
"-406148697538",
"844312637249",
"103808494182512",
"-173366392362431",
"-33528470038125974",
"40208654504239441"
] |
[
"sign"
] | 22 | 0 | 4 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2024-08-04T04:16:20 |
oeisdata/seq/A013/A013571.seq
|
cbbc92e67e8c15503a84511a750a73ec
|
A013572
|
Expansion of e.g.f. of exp(arcsinh(x)/exp(x)).
|
[
"1",
"1",
"-1",
"-3",
"9",
"25",
"-145",
"-539",
"3857",
"30129",
"-192673",
"-2816979",
"17218201",
"364417417",
"-2297788337",
"-63429766763",
"417350455329",
"14529736975457",
"-99514205291841",
"-4252720982041379",
"30285000226110761"
] |
[
"sign"
] | 18 | 0 | 4 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-20T03:51:50 |
oeisdata/seq/A013/A013572.seq
|
679f847e354196dc53fdb6833e346387
|
A013573
|
Expansion of e.g.f. exp(arctanh(x)/exp(x)).
|
[
"1",
"1",
"-1",
"0",
"9",
"-20",
"65",
"406",
"-511",
"21624",
"88577",
"1053426",
"14764321",
"143838916",
"2193647521",
"29669704702",
"457719400449",
"7433158061552",
"128311987616769",
"2329120580336746",
"45112841958764321",
"905762343424701116"
] |
[
"sign"
] | 11 | 0 | 5 | null | null |
Patrick Demichel (patrick.demichel(AT)hp.com)
| 2016-11-20T03:22:12 |
oeisdata/seq/A013/A013573.seq
|
b1752f61fdbf56bb9f1611d3574ac39d
|
A013574
|
Minimal scope of an (n,2) difference triangle.
|
[
"3",
"7",
"10",
"12",
"15",
"19",
"22",
"24",
"27",
"31",
"34",
"36",
"39",
"43",
"46",
"48",
"51",
"55",
"58",
"60",
"63",
"67",
"70",
"72",
"75",
"79",
"82",
"84",
"87",
"91",
"94",
"96",
"99",
"103",
"106",
"108",
"111",
"115",
"118",
"120",
"123",
"127",
"130",
"132",
"135",
"139",
"142",
"144",
"147",
"151",
"154",
"156",
"159",
"163",
"166",
"168",
"171",
"175",
"178",
"180",
"183",
"187",
"190"
] |
[
"nonn",
"easy"
] | 24 | 1 | 1 |
[
"A013574",
"A234943",
"A319279"
] | null |
N. J. A. Sloane
| 2018-09-27T12:48:53 |
oeisdata/seq/A013/A013574.seq
|
8b85a6b45f35f1bf4394f1b13bbf0cd7
|
A013575
|
Minimal scope of an (n,3) difference triangle.
|
[
"6",
"13",
"19",
"24",
"30",
"36",
"42",
"48",
"54",
"60",
"66",
"72",
"78",
"84",
"90"
] |
[
"nonn",
"more",
"changed"
] | 8 | 1 | 1 |
[
"A013575",
"A234943"
] | null |
N. J. A. Sloane
| 2025-07-08T02:47:52 |
oeisdata/seq/A013/A013575.seq
|
c771fbe23e811d6b798dea3a8e087d29
|
A013576
|
Minimal scope of an (n,4) difference triangle.
|
[
"11",
"22",
"32",
"41",
"51",
"60",
"71",
"80",
"91",
"100",
"111",
"120",
"131",
"140",
"151"
] |
[
"nonn",
"hard",
"changed"
] | 8 | 1 | 1 | null | null |
N. J. A. Sloane
| 2025-07-08T02:47:58 |
oeisdata/seq/A013/A013576.seq
|
f4e7d510d89629918519845353f71ce3
|
A013577
|
Minimal scope of an (n,5) difference triangle.
|
[
"17",
"34",
"49",
"64",
"79"
] |
[
"nonn",
"hard",
"changed"
] | 8 | 1 | 1 | null | null |
N. J. A. Sloane
| 2025-07-08T02:48:03 |
oeisdata/seq/A013/A013577.seq
|
6386150d17871ba5dc1f186adbe147c3
|
A013578
|
Maximal size of equidistant permutation array R(n,2).
|
[
"1",
"2",
"4",
"5",
"10",
"13",
"16"
] |
[
"nonn",
"hard",
"more",
"changed"
] | 8 | 3 | 2 |
[
"A005677",
"A013578"
] | null |
N. J. A. Sloane
| 2025-07-08T02:48:11 |
oeisdata/seq/A013/A013578.seq
|
906f8b6ff1f3f95f5b7b8069bc31e338
|
A013579
|
Number of inequivalent Mendelsohn triple systems (MTS(n,1)) of order n and index 1.
|
[
"0",
"0",
"1",
"1",
"0",
"0",
"3",
"0",
"18",
"143"
] |
[
"nonn",
"more",
"hard",
"changed"
] | 12 | 1 | 7 | null | null |
N. J. A. Sloane
| 2025-07-08T02:48:18 |
oeisdata/seq/A013/A013579.seq
|
34a33afc20f6fb9027c0d126d3557e6c
|
A013580
|
Triangle formed in same way as Pascal's triangle (A007318) except 1 is added to central element in even-numbered rows.
|
[
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"4",
"4",
"1",
"1",
"5",
"9",
"5",
"1",
"1",
"6",
"14",
"14",
"6",
"1",
"1",
"7",
"20",
"29",
"20",
"7",
"1",
"1",
"8",
"27",
"49",
"49",
"27",
"8",
"1",
"1",
"9",
"35",
"76",
"99",
"76",
"35",
"9",
"1",
"1",
"10",
"44",
"111",
"175",
"175",
"111",
"44",
"10",
"1",
"1",
"11",
"54",
"155",
"286",
"351",
"286",
"155",
"54",
"11",
"1",
"1",
"12",
"65",
"209",
"441",
"637",
"637",
"441",
"209",
"65"
] |
[
"tabl",
"nonn",
"easy"
] | 20 | 0 | 5 |
[
"A000975",
"A000984",
"A006134",
"A007318",
"A013580",
"A024718",
"A054106",
"A057552",
"A079309",
"A231147",
"A325347",
"A327475",
"A327481",
"A359893",
"A359901",
"A361654"
] | null |
Martin Hecko (bigusm(AT)interramp.com)
| 2025-07-02T16:01:55 |
oeisdata/seq/A013/A013580.seq
|
f45238dbf7090d68b17346acf57e5bb2
|
A013581
|
Let P = 2*3*5*..*p_n = n-th primorial number (A002110), G = Z_2xZ_3x...xZ_{p_n}; a(n) = max{e in G} min{i : both e+i, e-i are relatively prime to P}.
|
[
"1",
"3",
"9",
"15",
"33",
"75",
"90",
"105",
"165",
"213"
] |
[
"nonn"
] | 4 | 1 | 2 | null | null |
Paw Hermansen (paw(AT)imada.ou.dk)
| 2010-06-01T03:00:00 |
oeisdata/seq/A013/A013581.seq
|
4ce3ae5e220d299c4e0dc7b4dc9d35c8
|
A013582
|
Number of positions in game "Connect Four" (played on usual 6-row, 7-column board) after n moves, up to reflection.
|
[
"1",
"4",
"25",
"121",
"568",
"2144",
"8231",
"27473",
"92244",
"279241",
"831581",
"2284733",
"6118941",
"15465573",
"37720667",
"88273017",
"197300906",
"429114775",
"881951878",
"1784140720",
"3373100313",
"6336692489",
"11005448210",
"19131647821",
"30415473928",
"48633111249"
] |
[
"nonn",
"fini",
"full"
] | 39 | 0 | 2 |
[
"A013582",
"A212693"
] | null |
Russ Cox
| 2025-02-16T08:32:32 |
oeisdata/seq/A013/A013582.seq
|
c804035b2f06b3ec2c77bb71cf88e784
|
A013583
|
Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.
|
[
"1",
"3",
"8",
"16",
"24",
"37",
"58",
"63",
"97",
"105",
"152",
"160",
"168",
"249",
"257",
"270",
"406",
"401",
"435",
"448",
"440",
"647",
"1011",
"673",
"723",
"715",
"1066",
"1058",
"1050",
"1092",
"1160",
"1147",
"1694",
"1155",
"1710",
"1702",
"2647",
"1846",
"1765",
"1854",
"2736",
"1867",
"2757",
"2744",
"2841",
"2990",
"2752",
"2854",
"2985",
"3019",
"4511",
"3032",
"6967",
"4456",
"3024",
"4477",
"4616",
"4451",
"7349",
"4629",
"7218",
"4917",
"4621",
"4854",
"4904",
"7179",
"7166",
"4896",
"7200",
"7247",
"7310",
"7213",
"7831",
"8187",
"7488",
"7205",
"11614",
"7480",
"7815",
"7857",
"7925",
"11593",
"18154",
"7912",
"11813",
"11682",
"11653"
] |
[
"nonn",
"look"
] | 36 | 1 | 2 |
[
"A000119",
"A013583",
"A046815",
"A083853"
] | null |
Marjorie Bicknell-Johnson (marjohnson(AT)earthlink.net)
| 2025-01-05T19:51:34 |
oeisdata/seq/A013/A013583.seq
|
ef2461be5fef4d611a9efd30aa1fca36
|
A013584
|
Smallest m such that 0!+1!+...+(m-1)! is divisible by n, or 0 if no such m exists.
|
[
"1",
"2",
"0",
"3",
"4",
"0",
"6",
"0",
"0",
"4",
"6",
"0",
"0",
"6",
"0",
"0",
"5",
"0",
"7",
"0",
"0",
"6",
"7",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"12",
"0",
"0",
"5",
"0",
"0",
"22",
"7",
"0",
"0",
"16",
"0",
"0",
"0",
"0",
"7",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"55",
"12",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"54",
"0",
"42",
"22",
"0",
"0",
"6",
"0",
"0",
"0",
"0",
"16",
"0",
"0",
"0",
"0",
"0",
"0",
"24",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
] |
[
"nonn"
] | 18 | 1 | 2 |
[
"A003422",
"A013584",
"A013585",
"A049044",
"A049045",
"A275608"
] | null |
Michael R. Mudge (Amsorg(AT)aol.com)
| 2019-04-13T14:16:35 |
oeisdata/seq/A013/A013584.seq
|
e90c54e2ca15611f823a3b4379e651c9
|
A013585
|
Smallest m such that 1!+...+m! is divisible by 2n+1, or 0 if no such m exists.
|
[
"1",
"2",
"0",
"0",
"3",
"4",
"0",
"0",
"5",
"0",
"0",
"12",
"0",
"7",
"19",
"0",
"4",
"0",
"24",
"0",
"32",
"19",
"0",
"0",
"0",
"5",
"20",
"0",
"0",
"0",
"0",
"0",
"0",
"20",
"12",
"0",
"7",
"0",
"0",
"57",
"7",
"0",
"0",
"19",
"0",
"0",
"0",
"0",
"6",
"8",
"83",
"0",
"0",
"15",
"33",
"24",
"0",
"0",
"0",
"0",
"12",
"32",
"0",
"38",
"19",
"9",
"0",
"0",
"0",
"23",
"0",
"0",
"0",
"0",
"70",
"71",
"5",
"0",
"57",
"20",
"0",
"17",
"0",
"0",
"0",
"0",
"26",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"28"
] |
[
"nonn"
] | 21 | 0 | 2 |
[
"A003422",
"A013584",
"A013585"
] | null |
Michael R. Mudge (Amsorg(AT)aol.com), additional terms from Allan C. Wechsler
| 2020-07-19T07:23:29 |
oeisdata/seq/A013/A013585.seq
|
5f4e6ae75fc561b99ba7b365b461371a
|
A013586
|
Smallest prime p such that n divides one of f(p)-1, f(p) or f(p)+1, where f(p) is product of primes <= p, or 0 if no such p exists.
|
[
"2",
"2",
"2",
"0",
"3",
"3",
"3",
"0",
"0",
"5",
"7",
"0",
"13",
"7",
"5",
"0",
"17",
"0",
"7",
"0",
"7",
"11",
"23",
"0",
"0",
"13",
"0",
"0",
"5",
"5",
"5",
"0",
"11",
"17",
"7",
"0",
"23",
"19",
"13",
"0",
"41",
"7",
"43",
"0",
"0",
"23",
"47",
"0",
"0",
"0",
"17",
"0",
"19",
"0",
"11",
"0",
"19",
"29",
"13",
"0",
"17",
"31",
"0",
"0",
"13",
"11",
"67",
"0",
"23",
"7",
"71",
"0",
"53",
"37",
"0",
"0",
"11",
"13",
"29",
"0",
"0",
"41",
"83",
"0",
"17",
"43",
"29",
"0"
] |
[
"nonn"
] | 11 | 1 | 1 | null | null |
Michael R. Mudge (Amsorg(AT)aol.com)
| 2012-09-20T16:52:14 |
oeisdata/seq/A013/A013586.seq
|
8c2548eaabe3924114d5e48610cbd5f7
|
A013587
|
Number of rational plane curves of degree d passing through 3d-1 general points.
|
[
"1",
"1",
"12",
"620",
"87304",
"26312976",
"14616808192",
"13525751027392",
"19385778269260800",
"40739017561997799680",
"120278021410937387514880",
"482113680618029292368686080",
"2551154673732472157928033617920",
"17410560213476464590484763013222400"
] |
[
"nonn",
"easy",
"nice"
] | 79 | 1 | 3 | null | null |
Gary Kennedy (kennedy(AT)math.ohio-state.edu)
| 2024-10-19T15:57:32 |
oeisdata/seq/A013/A013587.seq
|
3dd5c43164a828e7b010d9f7e9b97d86
|
A013588
|
Smallest positive integer not the determinant of an n X n {0,1}-matrix.
|
[
"2",
"2",
"3",
"4",
"6",
"10",
"19",
"41",
"103",
"269"
] |
[
"nice",
"more",
"hard",
"nonn",
"changed"
] | 52 | 1 | 1 |
[
"A003432",
"A013588",
"A089472"
] | null |
Gerhard R. Paseman (paseman(AT)prado.com)
| 2025-07-10T10:58:13 |
oeisdata/seq/A013/A013588.seq
|
dd8efe4ee54d204e435e43bf52003c74
|
A013589
|
a(n+1) = a(n)*(a(n)+1)/2.
|
[
"4",
"10",
"55",
"1540",
"1186570",
"703974775735",
"247790242435923759782980",
"30700002123226936025189367747945843590228731690",
"471245065183069190019624521318729501785547966685566656416776916445985874756815447988119493895"
] |
[
"nonn"
] | 23 | 0 | 1 |
[
"A000217",
"A007501",
"A013589",
"A050536",
"A050542",
"A050548",
"A050909",
"A086714"
] | null |
Carl Bellinger (carlb(AT)ctron.com)
| 2014-12-17T11:59:26 |
oeisdata/seq/A013/A013589.seq
|
5ad3f992095aaa5138562029682af6c6
|
A013590
|
Numbers k such that Phi(k,x) is a cyclotomic polynomial containing a coefficient with an absolute value greater than one.
|
[
"105",
"165",
"195",
"210",
"255",
"273",
"285",
"315",
"330",
"345",
"357",
"385",
"390",
"420",
"429",
"455",
"495",
"510",
"525",
"546",
"555",
"561",
"570",
"585",
"595",
"609",
"615",
"627",
"630",
"645",
"660",
"665",
"690",
"705",
"714",
"715",
"735",
"759",
"765",
"770",
"777",
"780",
"795",
"805",
"819",
"825",
"840",
"855"
] |
[
"nonn"
] | 48 | 1 | 1 |
[
"A013590",
"A013594",
"A117223",
"A117318",
"A137979"
] | null |
Peter T. Wang (peterw(AT)cco.caltech.edu)
| 2018-04-29T12:21:39 |
oeisdata/seq/A013/A013590.seq
|
c0cceadee5468eab0c9dea067120b63b
|
A013591
|
Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 3.
|
[
"385",
"595",
"665",
"770",
"935",
"1155",
"1190",
"1235",
"1309",
"1330",
"1365",
"1463",
"1495",
"1540",
"1729",
"1785",
"1855",
"1870",
"1925",
"1955",
"1995",
"2065",
"2145",
"2261",
"2310",
"2380",
"2415",
"2431",
"2465",
"2470",
"2618",
"2660",
"2665",
"2695",
"2717",
"2730",
"2737",
"2795",
"2805",
"2821"
] |
[
"nonn"
] | 10 | 1 | 1 | null | null |
Peter T. Wang (peterw(AT)cco.caltech.edu)
| 2016-11-28T05:01:24 |
oeisdata/seq/A013/A013591.seq
|
69ae3cea6209febfa9b7881fc7d7701b
|
A013592
|
Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.
|
[
"1365",
"1785",
"1995",
"2145",
"2415",
"2431",
"2717",
"2730",
"2737",
"2805",
"2849",
"3003",
"3135",
"3255",
"3315",
"3553",
"3570",
"3689",
"3705",
"3795",
"3885",
"3927",
"3990",
"4081",
"4095",
"4147",
"4199",
"4290",
"4305",
"4485",
"4515",
"4543",
"4641",
"4785",
"4830",
"4845",
"4862",
"4991",
"5005",
"5115",
"5187",
"5291",
"5313"
] |
[
"nonn"
] | 28 | 1 | 1 | null | null |
Peter T. Wang (peterw(AT)cco.caltech.edu)
| 2016-11-28T05:02:57 |
oeisdata/seq/A013/A013592.seq
|
06caab76075e81114630138ce3d1ac36
|
A013593
|
Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.
|
[
"1785",
"2145",
"2717",
"2805",
"3135",
"3570",
"3705",
"3795",
"3885",
"3927",
"4290",
"4641",
"4785",
"4845",
"5005",
"5115",
"5187",
"5291",
"5313",
"5355",
"5434",
"5610",
"5655",
"6270",
"6279",
"6435",
"6545",
"6699",
"6765",
"6783",
"7035",
"7095",
"7140",
"7215",
"7293",
"7315",
"7410",
"7455",
"7590",
"7735",
"7770",
"7854"
] |
[
"nonn"
] | 19 | 1 | 1 |
[
"A007947",
"A013593"
] | null |
Peter T. Wang (peterw(AT)cco.caltech.edu)
| 2018-08-07T03:55:23 |
oeisdata/seq/A013/A013593.seq
|
1e472cdc508005ce6da84e83ceeff4ed
|
A013594
|
Smallest order of cyclotomic polynomial containing n or -n as a coefficient.
|
[
"0",
"105",
"385",
"1365",
"1785",
"2805",
"3135",
"6545",
"6545",
"10465",
"10465",
"10465",
"10465",
"10465",
"11305",
"11305",
"11305",
"11305",
"11305",
"11305",
"11305",
"15015",
"11305",
"17255",
"17255",
"20615",
"20615",
"26565",
"26565",
"26565",
"26565",
"26565",
"26565",
"26565",
"26565",
"26565"
] |
[
"nonn",
"easy",
"nice"
] | 43 | 1 | 2 |
[
"A013594",
"A013595",
"A013596",
"A046887",
"A063696",
"A063698",
"A134518",
"A137979"
] | null |
N. J. A. Sloane
| 2025-05-10T09:18:57 |
oeisdata/seq/A013/A013594.seq
|
ac940ef6c15e13c937200841a6761342
|
A013595
|
Irregular triangle read by rows: coefficients of cyclotomic polynomial Phi_n(x) (exponents in increasing order).
|
[
"0",
"1",
"-1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"-1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"-1",
"1",
"-1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"-1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"-1",
"1",
"-1",
"1",
"-1",
"1",
"1",
"-1",
"0",
"1",
"-1",
"1",
"0",
"-1",
"1"
] |
[
"sign",
"easy",
"nice",
"tabf"
] | 75 | 0 | 3,440 |
[
"A013595",
"A013596",
"A020500",
"A020513",
"A157657",
"A160340",
"A262404",
"A262405",
"A278567"
] | null |
N. J. A. Sloane
| 2025-02-16T08:32:32 |
oeisdata/seq/A013/A013595.seq
|
58fc9b2b4fe4c14709ce9f3e52b1ac1f
|
A013596
|
Irregular triangle of coefficients of cyclotomic polynomial Phi_n(x) (exponents in decreasing order).
|
[
"1",
"0",
"1",
"-1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"-1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"-1",
"1",
"-1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"-1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"-1",
"1",
"-1",
"1",
"-1",
"1",
"1",
"-1",
"0",
"1",
"-1",
"1",
"0",
"-1",
"1",
"1",
"0",
"0",
"0",
"0"
] |
[
"sign",
"easy",
"nice",
"tabf"
] | 34 | 0 | 3,440 |
[
"A013595",
"A013596",
"A039649",
"A160340"
] | null |
N. J. A. Sloane
| 2023-01-28T12:20:49 |
oeisdata/seq/A013/A013596.seq
|
da8f74393735c0d882db89796c1a9aa2
|
A013597
|
a(n) = nextprime(2^n) - 2^n.
|
[
"1",
"1",
"1",
"3",
"1",
"5",
"3",
"3",
"1",
"9",
"7",
"5",
"3",
"17",
"27",
"3",
"1",
"29",
"3",
"21",
"7",
"17",
"15",
"9",
"43",
"35",
"15",
"29",
"3",
"11",
"3",
"11",
"15",
"17",
"25",
"53",
"31",
"9",
"7",
"23",
"15",
"27",
"15",
"29",
"7",
"59",
"15",
"5",
"21",
"69",
"55",
"21",
"21",
"5",
"159",
"3",
"81",
"9",
"69",
"131",
"33",
"15",
"135",
"29",
"13",
"131",
"9",
"3",
"33",
"29",
"25",
"11",
"15",
"29"
] |
[
"nonn"
] | 35 | 0 | 4 |
[
"A007918",
"A013597",
"A014210",
"A092131",
"A151800"
] | null |
James Kilfiger (mapdn(AT)csv.warwick.ac.uk)
| 2024-12-02T18:10:56 |
oeisdata/seq/A013/A013597.seq
|
97709cccf944a45a53141056c26d366e
|
A013598
|
a(n) = nextprime(3^n)-3^n.
|
[
"1",
"2",
"2",
"2",
"2",
"8",
"4",
"16",
"2",
"4",
"2",
"20",
"16",
"8",
"2",
"2",
"26",
"34",
"10",
"56",
"8",
"56",
"4",
"32",
"2",
"14",
"2",
"16",
"26",
"130",
"4",
"16",
"70",
"70",
"34",
"22",
"2",
"50",
"8",
"82",
"118",
"70",
"4",
"52",
"8",
"46",
"68",
"52",
"56",
"16",
"28",
"34",
"50",
"26",
"28",
"20",
"62",
"4",
"158",
"64",
"16",
"34",
"122",
"2",
"92",
"64",
"28",
"230",
"20"
] |
[
"nonn"
] | 12 | 0 | 2 |
[
"A013598",
"A013604"
] | null |
James Kilfiger (mapdn(AT)csv.warwick.ac.uk)
| 2016-11-28T05:13:19 |
oeisdata/seq/A013/A013598.seq
|
6ff2138d7d725bf8360d59875d2fc9c0
|
A013599
|
a(n) = nextprime(5^n) - 5^n.
|
[
"1",
"2",
"4",
"2",
"6",
"12",
"4",
"12",
"22",
"26",
"4",
"14",
"58",
"6",
"12",
"42",
"24",
"2",
"12",
"56",
"48",
"24",
"18",
"38",
"58",
"14",
"12",
"38",
"34",
"62",
"28",
"92",
"214",
"122",
"102",
"168",
"136",
"18",
"48",
"102",
"108",
"126",
"18",
"126",
"76",
"108",
"22",
"204",
"52",
"122",
"96",
"114",
"94",
"14",
"52",
"38",
"58",
"248",
"64",
"56",
"16",
"102",
"106"
] |
[
"nonn"
] | 17 | 0 | 2 |
[
"A000351",
"A013599",
"A013632",
"A054321",
"A151800"
] | null |
James Kilfiger (mapdn(AT)csv.warwick.ac.uk)
| 2020-06-14T01:55:59 |
oeisdata/seq/A013/A013599.seq
|
7c4817d7dfc1a8ab5f229a2181dc45c4
|
A013600
|
a(n) = nextprime(6^n)-6^n.
|
[
"1",
"1",
"1",
"7",
"1",
"13",
"7",
"5",
"11",
"25",
"5",
"35",
"35",
"35",
"5",
"91",
"47",
"35",
"5",
"17",
"11",
"7",
"103",
"61",
"7",
"13",
"23",
"7",
"25",
"47",
"7",
"73",
"5",
"41",
"133",
"77",
"101",
"103",
"193",
"61",
"47",
"187",
"71",
"35",
"215",
"83",
"121",
"95",
"37",
"95",
"145",
"35",
"77",
"13",
"7",
"5",
"25",
"77",
"47",
"283",
"235",
"23",
"137",
"137",
"47"
] |
[
"nonn"
] | 13 | 0 | 4 |
[
"A000400",
"A013600",
"A013632",
"A063766"
] | null |
James Kilfiger (mapdn(AT)csv.warwick.ac.uk)
| 2024-05-04T01:57:37 |
oeisdata/seq/A013/A013600.seq
|
babb21185bed05f0eb0aa60227494ba2
|
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