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christopher
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oeis

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348
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666,262,453B
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1999-12-11 03:00:00
2025-04-28 00:58:08
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32
A009301
E.g.f. exp(x/cosh(x)).
[ "1", "1", "1", "-2", "-11", "-4", "181", "624", "-3863", "-37808", "66121", "2529440", "4478365", "-197245632", "-1211701763", "17275207936", "226423491793", "-1517532372736", "-43068302925551", "78275049887232", "8876725117679941", "24598365340871680", "-1997577117130009403", "-16151599386896207872", "483811389670392875449" ]
[ "sign", "easy" ]
16
0
4
[ "A009118", "A009301", "A009562" ]
null
R. H. Hardin
2017-04-01T14:00:24
oeisdata/seq/A009/A009301.seq
34eece435ba6cc7a229f0ca146a46ed2
A009302
If a, b are in the sequence, so is ab+3.
[ "2", "7", "17", "37", "52", "77", "107", "122", "157", "217", "247", "262", "292", "317", "367", "437", "497", "527", "542", "587", "632", "637", "737", "752", "857", "877", "887", "997", "1057", "1087", "1102", "1177", "1267", "1277", "1312", "1372", "1477", "1507", "1522", "1717", "1732", "1757", "1777", "1822", "1837", "1927", "1997", "2047", "2077", "2117" ]
[ "nonn" ]
10
1
1
null
null
David W. Wilson
2017-06-09T03:37:30
oeisdata/seq/A009/A009302.seq
675982c329e60909ed24e8b26077655e
A009303
If a, b in sequence, so is ab+4.
[ "2", "8", "20", "44", "68", "92", "140", "164", "188", "284", "332", "356", "380", "404", "548", "572", "668", "716", "740", "764", "812", "884", "1100", "1124", "1148", "1316", "1340", "1364", "1436", "1484", "1508", "1532", "1628", "1772", "1844", "1940", "2204", "2252", "2276", "2300", "2636", "2660", "2684", "2732", "2804", "2852", "2876", "2972" ]
[ "nonn" ]
5
1
1
null
null
David W. Wilson
2012-03-30T18:35:07
oeisdata/seq/A009/A009303.seq
bd7ba9cd2882f06df4ae0ac9d3ee2f6f
A009304
If a, b in sequence, so is ab+5.
[ "2", "9", "23", "51", "86", "107", "177", "212", "219", "359", "429", "443", "464", "534", "723", "779", "863", "891", "933", "968", "1073", "1178", "1451", "1563", "1598", "1731", "1787", "1871", "1913", "1941", "1976", "1983", "2151", "2361", "2466", "2606", "2907", "3131", "3201", "3236", "3467", "3579", "3747", "3831", "3866", "3887", "3957" ]
[ "nonn" ]
5
1
1
null
null
David W. Wilson
2012-03-30T18:35:07
oeisdata/seq/A009/A009304.seq
c43b39cf2df69cc5a258549fcb2b8903
A009305
Expansion of e.g.f. log(1 + x*cosh(x)).
[ "0", "1", "-1", "5", "-18", "89", "-600", "4717", "-42896", "449073", "-5287680", "69090581", "-993391872", "15583801609", "-264816161792", "4846181282685", "-95022445824000", "1987373846425697", "-44163232640630784", "1039121484066627877", "-25807915421845422080", "674707915373741222841" ]
[ "sign", "easy" ]
31
0
4
[ "A009305", "A069814" ]
null
R. H. Hardin
2018-01-27T06:29:26
oeisdata/seq/A009/A009305.seq
43a3066775fc461ad833f75fee9241fd
A009306
Expansion of e.g.f.: log(1 + exp(x)*x).
[ "0", "1", "1", "-1", "-2", "9", "6", "-155", "232", "3969", "-20870", "-118779", "1655028", "1610257", "-143697722", "522358005", "13332842416", "-138189937791", "-1128293525646", "29219838555781", "17274118159180", "-5993074252801839", "38541972209299966", "1179892974640047669" ]
[ "sign", "easy" ]
67
0
5
[ "A009306", "A009444" ]
null
R. H. Hardin
2022-03-27T03:18:24
oeisdata/seq/A009/A009306.seq
42499bf2a0e2cbdf7715c7a20ecb4477
A009307
If a, b in sequence, so is ab+6.
[ "2", "10", "26", "58", "106", "122", "218", "250", "266", "442", "506", "538", "586", "682", "890", "1018", "1066", "1082", "1178", "1226", "1370", "1514", "1786", "2042", "2138", "2170", "2186", "2362", "2458", "2506", "2666", "2746", "2762", "3034", "3178", "3370", "3578", "4090", "4282", "4346", "4378", "4426", "4730", "4922", "5018", "5066" ]
[ "nonn" ]
9
1
1
null
null
David W. Wilson
2019-01-03T03:19:03
oeisdata/seq/A009/A009307.seq
4bc4a718bde2f21a50e4ca28ec63ae53
A009308
Expansion of log(1+log(1+sin(x))).
[ "0", "1", "-2", "6", "-27", "159", "-1166", "10238", "-104794", "1225453", "-16119336", "235574622", "-3786965344", "66410682571", "-1261666673216", "25812801065366", "-565833283234896", "13230321868853913", "-328685995742718848", "8646006262194855830" ]
[ "sign", "easy" ]
18
0
3
null
null
R. H. Hardin
2015-06-21T21:49:43
oeisdata/seq/A009/A009308.seq
32d0e7a790658759ca3dc9a12f4bca26
A009309
Expansion of log(1+log(1+sinh(x))).
[ "0", "1", "-2", "8", "-43", "299", "-2566", "26200", "-310458", "4190709", "-63507976", "1067945504", "-19737313696", "397714143007", "-8678720911680", "203901057411888", "-5131882643803216", "137757901532413673", "-3928752297641273728" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-21T21:49:38
oeisdata/seq/A009/A009309.seq
668c59096c32e0d1ba99d83019dbe861
A009310
Expansion of log(1+log(1+tan(x))).
[ "0", "1", "-2", "9", "-51", "384", "-3506", "38126", "-479770", "6872392", "-110410296", "1967181840", "-38502498592", "821352161200", "-18969587297792", "471608373782864", "-12558441874756176", "356636706706414848", "-10759204665600245888" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-21T21:49:30
oeisdata/seq/A009/A009310.seq
d5e0d013af4891a405c0f1cea8672e5d
A009311
E.g.f. log(1+log(1+tanh(x))).
[ "0", "1", "-2", "5", "-19", "104", "-706", "5662", "-53082", "570600", "-6897016", "92565296", "-1366706848", "22016867248", "-384226243584", "7220865546000", "-145397565641296", "3122890640031488", "-71266398589322368", "1722010388581604224" ]
[ "sign", "easy" ]
17
0
3
null
null
R. H. Hardin
2017-04-01T14:01:24
oeisdata/seq/A009/A009311.seq
15cb093eb481d8f89aaaed3d92004ecb
A009312
If a, b in sequence, so is ab+7.
[ "2", "11", "29", "65", "128", "137", "263", "281", "326", "533", "569", "659", "722", "848", "1073", "1145", "1325", "1415", "1451", "1514", "1703", "1892", "2153", "2297", "2657", "2837", "2900", "2909", "3035", "3098", "3413", "3593", "3719", "3791", "3980", "4232", "4313", "4601", "5321", "5681", "5807", "5825", "5870", "6077", "6203", "6266" ]
[ "nonn" ]
5
1
1
null
null
David W. Wilson
2012-03-30T18:35:07
oeisdata/seq/A009/A009312.seq
5eacedc58d93d3f66f3e67ce3be8b0e2
A009313
Expansion of log(1+log(1+x))*cos(x).
[ "0", "1", "-2", "4", "-23", "163", "-1339", "13032", "-146908", "1883029", "-27063486", "431223780", "-7546460679", "143910464215", "-2970645836131", "65997680098984", "-1570238012053824", "39835540730060265", "-1073437411354655634" ]
[ "sign", "easy" ]
14
0
3
null
null
R. H. Hardin
2015-06-21T21:49:23
oeisdata/seq/A009/A009313.seq
62ebc191df10c50783c7613334626afb
A009314
Expansion of log(1+log(1+x))*cosh(x).
[ "0", "1", "-2", "10", "-47", "303", "-2389", "22622", "-249724", "3150109", "-44706126", "705095994", "-12235794207", "231698450475", "-4754358750933", "105087911110062", "-2489277413102144", "62908278710542137", "-1689451592993832258", "48047639078438987082", "-1442565756163540276727" ]
[ "sign", "easy" ]
19
0
3
null
null
R. H. Hardin
2015-06-21T21:49:17
oeisdata/seq/A009/A009314.seq
d6ad29127b45a482bac8cc762f33ec47
A009315
Expansion of log(1+log(1+x))*exp(x).
[ "0", "1", "0", "4", "-15", "108", "-875", "8517", "-95900", "1228777", "-17659660", "281423800", "-4926084031", "93966286048", "-1940264385995", "43119269420549", "-1026217122711680", "26041836268699721", "-701939296463506432", "20028165890726106852" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-21T21:49:12
oeisdata/seq/A009/A009315.seq
c9e9f51422fd045ebc021e45370e66df
A009316
Expansion of log(1+log(1+x))/cos(x).
[ "0", "1", "-2", "10", "-47", "323", "-2509", "24022", "-262884", "3312757", "-46812246", "736778634", "-12755932287", "241166285111", "-4941674443133", "109108249437782", "-2582086472552784", "65202893342750121", "-1749904916594467218" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-21T21:49:06
oeisdata/seq/A009/A009316.seq
d6349f4a1648fb02e011c3ac0373278b
A009317
Expansion of log(1+log(1+x))/cosh(x).
[ "0", "1", "-2", "4", "-23", "183", "-1459", "13592", "-153348", "1975117", "-28287606", "449154660", "-7849907559", "149555531331", "-3083839320171", "68448665226744", "-1627353764342224", "41258541219292569", "-1111163801421888834" ]
[ "sign", "easy" ]
17
0
3
null
null
R. H. Hardin
2015-06-21T21:49:01
oeisdata/seq/A009/A009317.seq
990e60531daa540102b415978a202d9b
A009318
Expansion of log(1+log(1+x))/exp(x).
[ "0", "1", "-4", "16", "-79", "498", "-3903", "36727", "-403548", "5071441", "-71752592", "1128768188", "-19545504383", "369430614902", "-7568453115871", "167056552799575", "-3952337703492608", "99774721152384553", "-2676963889524158084" ]
[ "sign", "easy" ]
19
0
3
null
null
R. H. Hardin
2023-04-24T12:38:39
oeisdata/seq/A009/A009318.seq
1c5b96cb977c7b6e8c335cbcebd9d49e
A009319
Expansion of log(1+log(1+x)*cos(x)).
[ "0", "1", "-2", "4", "-17", "93", "-649", "5381", "-51778", "565957", "-6930141", "93992413", "-1399244076", "22689478823", "-398164266655", "7519118564551", "-152058873978384", "3278894568674073", "-75103386737309385", "1821102601528126265" ]
[ "sign", "easy" ]
14
0
3
null
null
R. H. Hardin
2015-06-21T21:48:48
oeisdata/seq/A009/A009319.seq
0513e84b25a8455c2f725937f6133238
A009320
Expansion of log(1+log(1+x)*cosh(x)).
[ "0", "1", "-2", "10", "-53", "373", "-3289", "34543", "-421994", "5884933", "-92255061", "1606210571", "-30754222080", "642299748231", "-14531152719875", "354020726656465", "-9240813172692064", "257285058656341145", "-7611049992188970105" ]
[ "sign", "easy" ]
14
0
3
null
null
R. H. Hardin
2015-06-21T21:48:42
oeisdata/seq/A009/A009320.seq
80e0065c34d72817f8058834cc315509
A009321
E.g.f. log(1 + log(1+x)*exp(x)).
[ "0", "1", "0", "1", "-5", "23", "-129", "894", "-7202", "65365", "-661763", "7412348", "-91009060", "1214988851", "-17522921545", "271538506004", "-4499710415184", "79404970485241", "-1486680068450391", "29435486083635796", "-614519419914446388" ]
[ "sign", "easy" ]
17
0
5
null
null
R. H. Hardin
2017-04-01T14:02:45
oeisdata/seq/A009/A009321.seq
7d4610bf82d95435518a9b63b549bffd
A009322
Expansion of e.g.f. log(1+log(1+x)/cos(x)).
[ "0", "1", "-2", "10", "-53", "393", "-3469", "36923", "-455034", "6408445", "-101394621", "1782112451", "-34444229280", "726178939315", "-16584374311751", "407872396640525", "-10747392535828704", "302068718096449161", "-9020579203256189193", "285223376077563766015", "-9519540878894689112808" ]
[ "sign", "easy" ]
24
0
3
null
null
R. H. Hardin
2017-09-26T11:30:08
oeisdata/seq/A009/A009322.seq
e2004d5deed211a7f8b09e95c927e007
A009323
Expansion of log(1+log(1+x)/cosh(x)).
[ "0", "1", "-2", "4", "-17", "113", "-829", "6921", "-68018", "766909", "-9668901", "134950693", "-2070353196", "34628733267", "-626969184451", "12218295424331", "-255041910240464", "5677409949583369", "-134260064803417113", "3361378755164561417" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-21T21:48:29
oeisdata/seq/A009/A009323.seq
969591ffefbc89f5a1720e6cc17be7f9
A009324
Expansion of e.g.f. log(1+log(1+x)/exp(x)).
[ "0", "1", "-4", "19", "-125", "1083", "-11669", "150512", "-2262546", "38851957", "-750394759", "16102118954", "-380058372572", "9785829784651", "-272962664838317", "8199582838569366", "-263901999580713904", "9059869807873906105" ]
[ "sign", "easy" ]
24
0
3
null
null
R. H. Hardin
2017-04-18T07:03:10
oeisdata/seq/A009/A009324.seq
214e850ef29dd5389ab2a9b4daf0d479
A009325
E.g.f.: Expansion of log(1+log(1+x)^2) = 2*x^2/2! -6*x^3/3! +10*x^4/4! -...
[ "0", "0", "2", "-6", "10", "20", "-232", "252", "12108", "-137520", "510672", "6198720", "-106090272", "110313216", "20049746208", "-350494492320", "1386443717472", "58129858399488", "-1210759844215296", "-890205571360512", "529981110594263808", "-11472138235428595200", "24598100800739059200" ]
[ "sign", "easy" ]
24
0
3
null
null
R. H. Hardin
2017-04-01T07:24:18
oeisdata/seq/A009/A009325.seq
816f2997d32a5c625dad434ed6f67003
A009326
Expansion of e.g.f.: log(1+sin(log(1+x))).
[ "0", "1", "-2", "6", "-25", "134", "-880", "6850", "-61710", "631900", "-7251860", "92223700", "-1287629000", "19584800000", "-322377088800", "5710388153600", "-108314656606000", "2190568370666000", "-47056598218474000", "1070057252339998000" ]
[ "sign", "easy" ]
12
0
3
null
null
R. H. Hardin
2025-03-21T17:25:41
oeisdata/seq/A009/A009326.seq
676b45e0f1b18b8359f721b1cbfb2e69
A009327
Expansion of e.g.f. log(1+sin(sin(x))).
[ "0", "1", "-1", "0", "2", "-4", "8", "-24", "16", "272", "-2304", "14528", "-68352", "181312", "843776", "-20265088", "221382656", "-1771263744", "9865887744", "-4388386816", "-888186732544", "16325400792064", "-200433787207680", "1796402984175616", "-8060855544971264" ]
[ "sign", "easy" ]
19
0
5
null
null
R. H. Hardin
2014-03-27T23:51:42
oeisdata/seq/A009/A009327.seq
53fc3f4a2ae052e653e2ab91482894d2
A009328
Expansion of log(1+sin(sinh(x))).
[ "0", "1", "-1", "2", "-6", "16", "-72", "328", "-1904", "12160", "-89344", "721280", "-6445824", "62638720", "-660602880", "7495723264", "-91175548928", "1182630301696", "-16301080281088", "237887012458496", "-3664597991424000", "59422015832915968" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-22T22:15:37
oeisdata/seq/A009/A009328.seq
d2d8736a756012accdb2d85b97776f19
A009329
E.g.f. log(1+sin(tan(x))).
[ "0", "1", "-1", "3", "-10", "41", "-232", "1299", "-10064", "74609", "-720384", "6787811", "-78009600", "898506649", "-11977120768", "163241051315", "-2480763381760", "39007280136801", "-666957211828224", "11866656488375747", "-225809770695098368" ]
[ "sign", "easy" ]
21
0
4
[ "A009329", "A012016", "A012240" ]
null
R. H. Hardin
2014-06-27T02:27:19
oeisdata/seq/A009/A009329.seq
0c240e2c64b463a773f9a03b4a7fcd89
A009330
Expansion of log(1+sin(tanh(x))).
[ "0", "1", "-1", "-1", "6", "1", "-72", "55", "1456", "-2207", "-47104", "79727", "2390784", "-2834207", "-180612096", "81045991", "18625189888", "1107720001", "-2431403622400", "-715785186337", "384624656646144", "165075476417857", "-72343735465672704", "-44818254949260905" ]
[ "sign", "easy" ]
10
0
5
null
null
R. H. Hardin
2015-06-22T22:15:54
oeisdata/seq/A009/A009330.seq
4094255e59648f366d5d6be2d03e80f8
A009331
If a, b in sequence, so is ab+8.
[ "2", "12", "32", "72", "152", "312", "392", "632", "792", "872", "1032", "1272", "1592", "1752", "1832", "2072", "2312", "2552", "3192", "3512", "3672", "3752", "4152", "4632", "4712", "4872", "5112", "5192", "6392", "7032", "7352", "7512", "7592", "8312", "9272", "9432", "9512", "9752", "9992", "10232", "10392", "10472", "10952", "12392" ]
[ "nonn" ]
5
1
1
null
null
David W. Wilson
2012-03-30T18:35:07
oeisdata/seq/A009/A009331.seq
d7b21aac2ce783e95931856df9fb51f6
A009332
Expansion of log(1+sin(x))*cos(x).
[ "0", "1", "-1", "-2", "4", "0", "-1", "-16", "64", "-256", "1319", "-7680", "49204", "-346112", "2653559", "-22022144", "196707424", "-1881735168", "19194804719", "-207983607808", "2385684870724", "-28880901505024", "367985503366799", "-4922617151619072", "68980888889771104" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:16:12
oeisdata/seq/A009/A009332.seq
a3316562dc2c1eeae9c26afc04eac945
A009333
Expansion of log(1+sin(x))*cosh(x).
[ "0", "1", "-1", "4", "-8", "20", "-61", "208", "-888", "4304", "-24001", "149312", "-1028048", "7745088", "-63374221", "559452416", "-5299033488", "53597321472", "-576514338721", "6570832389120", "-79100066353208", "1002840464045056", "-13355627237749501", "186406420596609024" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:16:26
oeisdata/seq/A009/A009333.seq
3aadef944cc889813bc24bfe44111fb8
A009334
E.g.f. log(1+sin(x))*exp(x).
[ "0", "1", "1", "1", "0", "0", "-5", "5", "-56", "224", "-1441", "9029", "-64592", "497068", "-4153357", "37288173", "-358469008", "3672613632", "-39954165153", "459970973037", "-5587015067704", "71405586701516", "-957909748415229", "13458304798985221", "-197627582943979080" ]
[ "sign", "easy" ]
25
0
7
[ "A000111", "A009334" ]
null
R. H. Hardin
2015-08-09T15:31:57
oeisdata/seq/A009/A009334.seq
147cf7406957d4a3df247085c82ea727
A009335
Expansion of log(1+sin(x))/cos(x).
[ "0", "1", "-1", "4", "-8", "40", "-121", "768", "-3128", "24320", "-124921", "1152512", "-7158128", "76477440", "-557749921", "6773211136", "-56767019408", "772218880000", "-7316056402321", "110191426928640", "-1164842760597368", "19241219430809600" ]
[ "sign", "easy" ]
12
0
4
null
null
R. H. Hardin
2015-06-22T22:27:43
oeisdata/seq/A009/A009335.seq
6cc58f9734ee84786ea9ff10957677be
A009336
Expansion of log(1+sin(x))/cosh(x).
[ "0", "1", "-1", "-2", "4", "20", "-61", "-296", "1184", "9680", "-49201", "-393120", "2361844", "26927680", "-191422141", "-2138039424", "17147588384", "250712561920", "-2289437638081", "-32881696158208", "329955144475204", "5885687604556800", "-65643617893832221" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-22T22:16:50
oeisdata/seq/A009/A009336.seq
8167f6fe3ca5e1aec51f6a1845bf365f
A009337
Expansion of e.g.f.: log(1+sin(x))/exp(x).
[ "0", "1", "-3", "7", "-16", "40", "-117", "411", "-1720", "8384", "-46561", "289595", "-1991504", "14993108", "-122595085", "1081616659", "-10239597968", "103522029312", "-1113074512289", "12681693805203", "-152613117638712", "1934275341388596", "-25753344727083773" ]
[ "sign", "easy" ]
19
0
3
[ "A000667", "A009337" ]
null
R. H. Hardin
2015-06-22T22:17:12
oeisdata/seq/A009/A009337.seq
17748f87c5a13a65dac5211dbb448a2b
A009338
Expansion of log(1+sin(x)*cos(x)).
[ "0", "1", "-1", "-2", "10", "-40", "104", "208", "-6320", "64640", "-436096", "986368", "29459200", "-652487680", "8309679104", "-60911593472", "-294946887680", "20973645824000", "-456801564983296", "6185783347314688", "-27026064538664960", "-1429441147870904320" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:17:28
oeisdata/seq/A009/A009338.seq
6ad482e21157dbd8e45f5eb7cc128c3a
A009339
Expansion of log(1+sin(x)*cosh(x)).
[ "0", "1", "-1", "4", "-14", "60", "-376", "2784", "-23344", "225680", "-2467456", "29884864", "-397908224", "5784292800", "-91090625536", "1544557830144", "-28061704443904", "543835022577920", "-11198060484591616", "244140571254682624", "-5618495694469136384" ]
[ "sign", "easy" ]
11
0
4
null
null
R. H. Hardin
2015-06-22T22:17:39
oeisdata/seq/A009/A009339.seq
7d9f2d89d26151dd563e2aa199c02ffe
A009340
E.g.f. log(1 + sin(x)*exp(x)).
[ "0", "1", "1", "-2", "-2", "20", "-24", "-352", "1968", "5840", "-126944", "278848", "8284288", "-76872640", "-400462464", "12744251648", "-38515617792", "-1843130033920", "23434765820416", "182086013314048", "-7427539628214272", "27218422422656000" ]
[ "sign", "easy" ]
19
0
4
null
null
R. H. Hardin
2017-04-01T14:04:00
oeisdata/seq/A009/A009340.seq
ab9f8df4db80677fd4499787f7f82fb4
A009341
Expansion of e.g.f. log(1 + sin(x)*x), even powers only.
[ "0", "2", "-16", "366", "-17704", "1467370", "-185815884", "33370050910", "-8067253019536", "2526062494781394", "-994534162338738580", "480859837194669214150", "-280103496938395910686680", "193472520727526106582807226" ]
[ "sign" ]
25
0
2
[ "A009341", "A133867" ]
null
R. H. Hardin
2018-01-28T02:27:01
oeisdata/seq/A009/A009341.seq
6fcafde3672773272dd51f913190945c
A009342
Expansion of log(1+sin(x)/cosh(x)).
[ "0", "1", "-1", "-2", "10", "-20", "-16", "488", "-4080", "22160", "-7936", "-1616672", "22996480", "-172976960", "-22368256", "25518205568", "-485458114560", "4964227109120", "-209865342976", "-1231298393825792", "29816107240652800", "-379260096755225600" ]
[ "sign", "easy" ]
11
0
4
[ "A009342", "A012816" ]
null
R. H. Hardin
2015-06-22T22:17:52
oeisdata/seq/A009/A009342.seq
babdf6cd221ab86b51499e93b9c54b55
A009343
Expansion of e.g.f. log(1+sin(x)/exp(x)).
[ "0", "1", "-3", "10", "-50", "340", "-2888", "29440", "-350160", "4759760", "-72787488", "1236761920", "-23115758720", "471323145280", "-10410977045888", "247656022739200", "-6312036805140480", "171600628707334400", "-4956751714926617088" ]
[ "sign", "easy" ]
19
0
3
null
null
R. H. Hardin
2022-09-03T23:17:11
oeisdata/seq/A009/A009343.seq
3d4dcc25474bac58f9355d5bd2433684
A009344
Expansion of log(1 + sin(x)^2).
[ "0", "2", "-20", "512", "-27680", "2565632", "-363299840", "72957489152", "-19722824192000", "6905862783107072", "-3040352844189532160", "1643816046204280635392", "-1070739118373698870968320", "827017799903621162951770112" ]
[ "sign" ]
19
0
2
null
null
R. H. Hardin
2017-04-01T14:05:00
oeisdata/seq/A009/A009344.seq
3bceef9026c974d023e1ba768aad8618
A009345
Expansion of log(1+sinh(log(1+x))).
[ "0", "1", "-2", "8", "-45", "324", "-2850", "29700", "-358470", "4924080", "-75909960", "1298430000", "-24410370600", "500392015200", "-11109296998800", "265568231728800", "-6801224604174000", "185781460921056000", "-5391780968862288000" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-22T22:18:09
oeisdata/seq/A009/A009345.seq
16f705fb85f2ae41998620cdd2e0faf9
A009346
Expansion of log(1+sinh(sin(x))).
[ "0", "1", "-1", "2", "-6", "16", "-72", "440", "-2800", "20224", "-169984", "1582976", "-16076544", "178612864", "-2155087872", "27969867008", "-388732745728", "5765737517056", "-90872771018752", "1516228355846144", "-26703924688453632", "495092243779256320" ]
[ "sign", "easy" ]
10
0
4
null
null
R. H. Hardin
2015-06-22T22:18:20
oeisdata/seq/A009/A009346.seq
b398f43b90cfaa4fdb650ddad2f72b0a
A009347
Expansion of log(1+sinh(sinh(x))).
[ "0", "1", "-1", "4", "-14", "76", "-472", "3592", "-31600", "317968", "-3600384", "45286528", "-626654976", "9459412288", "-154690373632", "2724254181760", "-51403730941952", "1034595588065536", "-22124602307346432", "500961002883890176" ]
[ "sign", "easy" ]
10
0
4
null
null
R. H. Hardin
2015-06-22T22:18:32
oeisdata/seq/A009/A009347.seq
176bbccccf78504c8024077d149817d2
A009348
Expansion of e.g.f.: log(1+sinh(tan(x))).
[ "0", "1", "-1", "5", "-18", "121", "-792", "7013", "-66640", "752785", "-9320704", "129763589", "-1972346112", "32812992265", "-590188526592", "11441858264741", "-237543276488704", "5261501926546081", "-123809000924250112", "3084889329990554117" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:18:46
oeisdata/seq/A009/A009348.seq
6a5b1545868112a9f43b42414d38364b
A009349
Expansion of log(1+sinh(tanh(x))).
[ "0", "1", "-1", "1", "-2", "1", "8", "169", "-1360", "-1823", "36096", "365905", "-4324608", "-17126303", "252720128", "3688466617", "-44566194176", "-393996411839", "4256810139648", "109259290725793", "-1089707691474944", "-20477152840654271", "132632440281759744" ]
[ "sign", "easy" ]
16
0
5
null
null
R. H. Hardin
2015-06-22T22:18:58
oeisdata/seq/A009/A009349.seq
7765a94068b495f8557360c234f24c0c
A009350
If x and y are terms, so is x*y + 9.
[ "2", "13", "35", "79", "167", "178", "343", "365", "464", "695", "739", "937", "1036", "1234", "1399", "1487", "1883", "2081", "2180", "2323", "2477", "2774", "2807", "2983", "3775", "4171", "4369", "4468", "4655", "4754", "4963", "5557", "5623", "5854", "5975", "6041", "6239", "6250", "7559", "8351", "8747", "8945", "9044", "9319", "9517" ]
[ "nonn" ]
10
1
1
null
null
David W. Wilson
2025-04-01T08:53:16
oeisdata/seq/A009/A009350.seq
bc91dd3c03704239696449ac86afe2f6
A009351
Expansion of log(1+sinh(x))*cos(x).
[ "0", "1", "-1", "0", "-4", "20", "-121", "896", "-7344", "68304", "-711721", "8200192", "-103603204", "1424807488", "-21191898001", "339004274688", "-5804468899584", "105924311382272", "-2052443682726961", "42085719065821184", "-910506730330968484" ]
[ "sign", "easy" ]
14
0
5
null
null
R. H. Hardin
2015-06-22T22:19:10
oeisdata/seq/A009/A009351.seq
beaaca9308b6e2b396bbaf820a8ecb7c
A009352
E.g.f: log(1+sinh(x))*cosh(x).
[ "0", "1", "-1", "6", "-16", "80", "-421", "2800", "-21736", "194304", "-1961521", "22060544", "-273408136", "3701321728", "-54335326501", "859630860288", "-14579917279216", "263892101169152", "-5076781293615361", "103444435675512832", "-2225448965436594976" ]
[ "sign", "easy" ]
19
0
4
null
null
R. H. Hardin
2015-01-23T05:17:16
oeisdata/seq/A009/A009352.seq
4a85b2ff909c7e94d512fd26cdaee313
A009353
Expansion of log(1+sinh(x))*exp(x).
[ "0", "1", "1", "3", "0", "20", "-85", "637", "-5096", "46944", "-484401", "5544341", "-69697672", "954728788", "-14155260197", "225856326165", "-3858874322928", "70293211672352", "-1359957800892673", "27849583539856909", "-601828107666316064" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-22T22:19:27
oeisdata/seq/A009/A009353.seq
1fc548d47b75f534a0021e4b869b8ca0
A009354
Expansion of e.g.f. log(1+sinh(x))/cos(x).
[ "0", "1", "-1", "6", "-16", "100", "-481", "3640", "-26216", "244560", "-2364841", "26849504", "-325189096", "4398704960", "-63781044601", "1005854552448", "-16941897363056", "305672687929600", "-5855806159566961", "119006746966185472", "-2553127722541494496" ]
[ "sign", "easy" ]
22
0
4
null
null
R. H. Hardin
2019-01-05T08:00:35
oeisdata/seq/A009/A009354.seq
d217647a52f852ccc981fb1e4df7eec7
A009355
Expansion of log(1+sinh(x))/cosh(x).
[ "0", "1", "-1", "0", "-4", "40", "-181", "896", "-8464", "88320", "-863041", "9382912", "-120330244", "1676579840", "-24638823301", "390142722048", "-6678730634944", "121851014348800", "-2353418855768161", "48123147849826304", "-1039698070255280164" ]
[ "sign", "easy" ]
13
0
5
null
null
R. H. Hardin
2015-06-22T22:19:50
oeisdata/seq/A009/A009355.seq
78d1737d414c9b471ff906bf28eac3ad
A009356
Expansion of log(1+sinh(x))/exp(x).
[ "0", "1", "-3", "9", "-32", "140", "-757", "4963", "-38376", "341664", "-3438641", "38576747", "-477118600", "6447914668", "-94515392805", "1493405394411", "-25300960235504", "457490990665952", "-8793604786338049", "179039287811168755", "-3849069823206873888" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-22T22:20:02
oeisdata/seq/A009/A009356.seq
ad3a33f6876fcf1a1928aa114947477f
A009357
Expansion of log(1+sinh(x)*cos(x)).
[ "0", "1", "-1", "0", "2", "-20", "104", "-560", "2512", "-7920", "-32896", "1034880", "-14979328", "172569280", "-1684304896", "12339608320", "-15173408768", "-1902800305920", "53242752303104", "-1037015219466240", "16518488951816192", "-208832669083243520" ]
[ "sign", "easy" ]
15
0
5
null
null
R. H. Hardin
2024-11-10T14:51:48
oeisdata/seq/A009/A009357.seq
ce53811408757d9bc7f83b32fae1e8f9
A009358
Expansion of log(1+sinh(x)*cosh(x)).
[ "0", "1", "-1", "6", "-22", "120", "-856", "7056", "-68272", "758400", "-9452416", "130918656", "-1995427072", "33173038080", "-597434776576", "11587651270656", "-240801628444672", "5337660866396160", "-125710803524878336", "3134856182239789056" ]
[ "sign", "easy" ]
16
0
4
null
null
R. H. Hardin
2015-06-22T22:20:29
oeisdata/seq/A009/A009358.seq
293b4bd7740dbacb4d6ee2caa99e15e1
A009359
Expansion of log(1 + sinh(x)*sin(x)).
[ "0", "2", "-12", "232", "-9632", "685472", "-74545152", "11496925312", "-2386930307072", "641870470410752", "-217026250235707392", "90115671250751137792", "-45080591297894376538112", "26741121618547455928082432" ]
[ "sign" ]
15
0
2
null
null
R. H. Hardin
2021-08-03T11:20:33
oeisdata/seq/A009/A009359.seq
1ce3e5fa2362568ac68d98f2d9c0f48f
A009360
Expansion of e.g.f. log(1+sinh(x)*x) (even powers only).
[ "0", "2", "-8", "126", "-4248", "246250", "-21819060", "2741961054", "-463859694704", "101639490015186", "-28002426109496940", "9474407274253732294", "-3861976880978567739432", "1866672045348038810596026" ]
[ "sign" ]
19
0
2
[ "A009360", "A133866" ]
null
R. H. Hardin
2019-01-05T06:56:33
oeisdata/seq/A009/A009360.seq
d676a7acb80b5c0fb0bd370442c24599
A009361
Expansion of e.g.f.: log(1+sinh(x)/cos(x)).
[ "0", "1", "-1", "6", "-22", "140", "-976", "8456", "-83952", "957840", "-12249856", "174293856", "-2725714432", "46514037440", "-859767771136", "17115342333056", "-365039421683712", "8304761365213440", "-200743169243938816", "5137820023434733056", "-138802582805546401792", "3947233200665413667840" ]
[ "sign", "easy" ]
16
0
4
null
null
R. H. Hardin
2024-05-23T16:12:44
oeisdata/seq/A009/A009361.seq
ac5579ebdca00707b2428fafb9d28fce
A009362
Expansion of log(1 + sinh(x)/exp(x)).
[ "0", "1", "-3", "12", "-66", "480", "-4368", "47712", "-608016", "8855040", "-145083648", "2641216512", "-52891055616", "1155444326400", "-27344999497728", "696933753434112", "-19031293222127616", "554336947975618560", "-17155693983744196608" ]
[ "sign", "easy" ]
21
0
3
[ "A008292", "A009362" ]
null
R. H. Hardin
2017-04-01T14:06:35
oeisdata/seq/A009/A009362.seq
a1b184aba4548c7399e9b1a19637fc12
A009363
Expansion of log(1+tan(log(1+x))).
[ "0", "1", "-2", "9", "-55", "434", "-4180", "47590", "-625770", "9339880", "-156097760", "2889491800", "-58706203400", "1299203207600", "-31115627649600", "801958361812400", "-22134642846706000", "651438145653776000", "-20365743882600064000" ]
[ "sign", "easy" ]
20
0
3
null
null
R. H. Hardin
2015-06-22T22:21:19
oeisdata/seq/A009/A009363.seq
effcd4186f6ed6204748c09e63e62edc
A009364
Expansion of e.g.f. log(1 + tan(sin(x))).
[ "0", "1", "-1", "3", "-10", "41", "-232", "1467", "-11408", "100625", "-1000704", "11103155", "-135118080", "1795927225", "-25845415936", "400540116971", "-6651228620800", "117802787966241", "-2216949901393920", "44174901566136419", "-929133071750004736" ]
[ "sign", "easy" ]
27
0
4
null
null
R. H. Hardin
2021-11-01T11:43:48
oeisdata/seq/A009/A009364.seq
5f228546b506c8d2fd56e3024f1f147b
A009365
Expansion of log(1+tan(sinh(x))).
[ "0", "1", "-1", "5", "-18", "121", "-792", "7069", "-67088", "763057", "-9443584", "132103157", "-2008841472", "33527321257", "-603694522368", "11731117858573", "-243894274033664", "5412661283979361", "-127565755034927104", "3184128808387236581" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-22T22:21:33
oeisdata/seq/A009/A009365.seq
afaa19bd2ba31de2fbe7be683e3619db
A009366
Expansion of log(1+tan(tan(x))).
[ "0", "1", "-1", "6", "-22", "176", "-1192", "12240", "-122288", "1561088", "-20588544", "318007808", "-5193155328", "94807748608", "-1841205505024", "38942692972544", "-875204314126336", "21088169713729536", "-537861879179575296", "14558790290337431552" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-22T22:21:45
oeisdata/seq/A009/A009366.seq
621fabdd73afb85bc5880f97b1273c2b
A009367
Expansion of e.g.f.: log(1+tan(tanh(x))).
[ "0", "1", "-1", "2", "-6", "16", "-72", "496", "-3248", "24064", "-208384", "1908224", "-19624704", "227958784", "-2800573440", "36620830720", "-519452284928", "7865201852416", "-126035093291008", "2142236553248768", "-38449509963399168", "725477781101608960" ]
[ "sign", "easy" ]
16
0
4
null
null
R. H. Hardin
2015-06-22T22:21:58
oeisdata/seq/A009/A009367.seq
0294ded96e0ee85e6bbb2b9fc860dc3b
A009368
If a, b in sequence, so is ab+10.
[ "2", "14", "38", "86", "182", "206", "374", "422", "542", "758", "854", "1094", "1214", "1454", "1526", "1718", "2198", "2438", "2558", "2894", "2918", "3062", "3278", "3446", "4406", "4886", "5126", "5246", "5798", "5846", "5918", "6134", "6566", "6902", "6926", "7406", "7598", "7838", "8822", "9782", "10262", "10502", "10622", "11606" ]
[ "nonn" ]
5
1
1
null
null
David W. Wilson
2012-03-30T18:35:07
oeisdata/seq/A009/A009368.seq
86bca19d03a4b054e59076db74bc2f15
A009369
Expansion of log(1+tan(x))*cos(x).
[ "0", "1", "-1", "1", "-8", "45", "-301", "2357", "-21608", "223769", "-2602081", "33484713", "-473210528", "7282225093", "-121272163741", "2172791685469", "-41680241726768", "852337358029617", "-18510436676621281", "425474580069715025", "-10319766893265298328" ]
[ "sign", "easy" ]
14
0
5
null
null
R. H. Hardin
2015-06-22T22:22:13
oeisdata/seq/A009/A009369.seq
ab6d509cb4ad95f32705b6c471280976
A009370
Expansion of log(1+tan(x))*cosh(x).
[ "0", "1", "-1", "7", "-20", "125", "-721", "5731", "-49440", "505529", "-5716921", "72560255", "-1009426340", "15366052533", "-253286287801", "4501151653979", "-85717611666720", "1742059862631537", "-37625735499057361", "860703388428813303" ]
[ "sign", "easy" ]
16
0
4
null
null
R. H. Hardin
2015-06-22T22:22:32
oeisdata/seq/A009/A009370.seq
2e1398608559207540c9217839183d33
A009371
Expansion of log(1+tan(x))*exp(x).
[ "0", "1", "1", "4", "0", "45", "-155", "1748", "-13496", "151169", "-1682191", "22018412", "-307464872", "4746159613", "-78744546907", "1410956472396", "-27026759291728", "552443153007777", "-11988735452427903", "275451486233018100", "-6677966707663119664" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:22:44
oeisdata/seq/A009/A009371.seq
6d718b5827aca379096044e73ed8c149
A009372
Expansion of log(1+tan(x))/cos(x).
[ "0", "1", "-1", "7", "-20", "145", "-781", "6711", "-55040", "578465", "-6372241", "81400295", "-1118247140", "17017477425", "-278763221101", "4944906503959", "-93847119338720", "1903841305391425", "-41033336868850561", "937270802152757703" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:22:56
oeisdata/seq/A009/A009372.seq
654b0e05d58afbdf273637b6229a6201
A009373
Expansion of log(1+tan(x))/cosh(x).
[ "0", "1", "-1", "1", "-8", "65", "-361", "2497", "-23848", "256385", "-2904601", "36778113", "-520366208", "8014148545", "-132884846641", "2373343120449", "-45463597872688", "928532354406145", "-20134914035881681", "462226423647925505", "-11199802803793004888" ]
[ "sign", "easy" ]
13
0
5
null
null
R. H. Hardin
2015-06-22T22:23:08
oeisdata/seq/A009/A009373.seq
70553d8346c3f19546804d8f7f7c04d2
A009374
Expansion of log(1+tan(x))/exp(x).
[ "0", "1", "-3", "10", "-40", "205", "-1287", "9714", "-85384", "859889", "-9751651", "123102098", "-1711387808", "25985945453", "-427828028695", "7591346835562", "-144408464041712", "2931676572255297", "-63262735545686819", "1445955290624608506" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-22T22:28:09
oeisdata/seq/A009/A009374.seq
298ede381f61c3a353f60938bb219f63
A009375
Expansion of e.g.f.: log(1+tan(x)*cosh(x)).
[ "0", "1", "-1", "7", "-26", "165", "-1216", "10827", "-111376", "1316585", "-17441536", "257028847", "-4164440576", "73616009805", "-1409649350656", "29070305745267", "-642306123237376", "15137914082015825", "-379068323095576576", "10050622525103392087" ]
[ "sign", "easy" ]
17
0
4
null
null
R. H. Hardin
2025-01-10T18:41:04
oeisdata/seq/A009/A009375.seq
c3b6693ad9c8280b2908013cdeda31b5
A009376
Expansion of log(1 + tan(x)*exp(x)).
[ "0", "1", "1", "1", "-2", "5", "6", "131", "-552", "3065", "-10934", "216511", "-1516052", "13359125", "-110965074", "1704426491", "-17363056752", "210045171185", "-2585510594414", "41595973502071", "-563643499480652", "8626434032607245", "-136389526384050954" ]
[ "sign", "easy" ]
16
0
5
null
null
R. H. Hardin
2024-12-16T15:50:22
oeisdata/seq/A009/A009376.seq
426b865e2cd7df34e13d758f7406d077
A009377
E.g.f. log(1 + tan(x)*sin(x)) (even powers only).
[ "0", "2", "-8", "182", "-6008", "408122", "-38757908", "5438711462", "-1008011932208", "244100206825202", "-74027819501268908", "27620824218436349342", "-12405602584546021488008", "6609444480661620416243882" ]
[ "sign" ]
18
0
2
null
null
R. H. Hardin
2017-04-01T14:11:27
oeisdata/seq/A009/A009377.seq
2f739b9c906fc0eb9ba1f8241c70d76e
A009378
Expansion of log(1+tan(x)*sinh(x)).
[ "0", "2", "0", "22", "280", "5402", "515460", "11703382", "2688141040", "146635350962", "34251754225020", "4629204580980142", "993794187704175400", "265705552906954222922", "63184407507496166760180" ]
[ "nonn" ]
14
0
2
null
null
R. H. Hardin
2015-06-22T22:23:57
oeisdata/seq/A009/A009378.seq
4f2d71337f34b9251eef5d9e2ac8c3ef
A009379
Expansion of log(1+tan(x)*x).
[ "0", "2", "-4", "96", "-2080", "125440", "-8629248", "996007936", "-140162633728", "27058965184512", "-6350990843576320", "1866805063173799936", "-653569786506324738048", "273136898848234632380416", "-133034893921204302732328960" ]
[ "sign" ]
18
0
2
[ "A009379", "A009399", "A085984" ]
null
R. H. Hardin
2017-12-21T17:28:06
oeisdata/seq/A009/A009379.seq
9117d75921681cbdc11423f6e067ff07
A009380
Expansion of log(1+tan(x)/cos(x)).
[ "0", "1", "-1", "7", "-26", "185", "-1336", "12367", "-129296", "1558865", "-21045376", "316097527", "-5218370816", "94003171145", "-1834192393216", "38543705698687", "-867785366030336", "20840298552277025", "-531767959826169856", "14366953364916735847" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:24:29
oeisdata/seq/A009/A009380.seq
efc9080bf5bb23b16f69cf4a843f987d
A009381
Expansion of log(1+tan(x)/cosh(x)).
[ "0", "1", "-1", "1", "-2", "25", "-136", "761", "-4752", "42065", "-386176", "3898321", "-42551552", "521329705", "-6816879616", "96017526281", "-1446339889152", "23356125062945", "-399659935891456", "7240133620964641", "-138393644469911552", "2786977252450841785" ]
[ "sign", "easy" ]
13
0
5
null
null
R. H. Hardin
2015-06-22T22:24:42
oeisdata/seq/A009/A009381.seq
b496b449cad55c2b004ee2751afd25b3
A009382
Expansion of e.g.f.: log(1+tan(x)/exp(x)).
[ "0", "1", "-3", "13", "-74", "565", "-5318", "60163", "-792504", "11933945", "-202119498", "3803708863", "-78738133484", "1778090543125", "-43499376725678", "1146033155079163", "-32350004720613264", "974047813919045105", "-31161267745173747858" ]
[ "sign", "easy" ]
22
0
3
null
null
R. H. Hardin
2015-01-24T11:02:20
oeisdata/seq/A009/A009382.seq
606a53e5d7090208c390445cd5e30223
A009383
Expansion of log(1+tanh(log(1+x))).
[ "0", "1", "-2", "5", "-15", "54", "-240", "1350", "-9450", "78120", "-725760", "7371000", "-81081000", "965487600", "-12454041600", "173675502000", "-2605132530000", "41763850128000", "-711374856192000", "12817252047600000", "-243527788904400000" ]
[ "sign", "easy" ]
39
0
3
[ "A009383", "A014307" ]
null
R. H. Hardin
2019-06-01T09:34:44
oeisdata/seq/A009/A009383.seq
c7bb2e70642a138c54c89103063fc94f
A009384
Expansion of log(1+tanh(sin(x))).
[ "0", "1", "-1", "-1", "6", "1", "-72", "-1", "1904", "1", "-89344", "-1", "6445824", "1", "-660602880", "-1", "91175548928", "1", "-16301080281088", "-1", "3664597991424000", "1", "-1011727950085619712", "-1", "336514395583207178240", "1", "-132722531082033166286848", "-1" ]
[ "sign", "easy" ]
10
0
5
null
null
R. H. Hardin
2015-06-22T22:25:16
oeisdata/seq/A009/A009384.seq
550c13a506b6f74e35fbc7ba24fbd430
A009385
E.g.f. log(1 + tanh(sinh(x))).
[ "0", "1", "-1", "1", "-2", "1", "8", "1", "-16", "1", "-2304", "1", "68352", "1", "843776", "1", "-221382656", "1", "9865887744", "1", "888186732544", "1", "-200433787207680", "1", "8060855544971264", "1", "3814697273321848832", "1", "-890946236332166348800", "1", "-9668703713250158575616" ]
[ "sign", "easy" ]
21
0
5
null
null
R. H. Hardin
2017-04-01T14:12:22
oeisdata/seq/A009/A009385.seq
89da891cf8ce80c390e7c8566e8f8e9f
A009386
Expansion of log(1+tanh(tan(x))).
[ "0", "1", "-1", "2", "-6", "16", "-72", "272", "-1456", "7936", "-47104", "353792", "-2390784", "22368256", "-180612096", "1903757312", "-18625189888", "209865342976", "-2431403622400", "29088885112832", "-384624656646144", "4951498053124096", "-72343735465672704" ]
[ "sign", "easy" ]
13
0
4
[ "A000182", "A009386" ]
null
R. H. Hardin
2015-06-22T22:27:54
oeisdata/seq/A009/A009386.seq
4b633f528faa508467d61fcd42e1afd7
A009387
Expansion of log(1+tanh(tanh(x))).
[ "0", "1", "-1", "-2", "10", "16", "-232", "-272", "10064", "7936", "-720384", "-353792", "78009600", "22368256", "-11977120768", "-1903757312", "2480763381760", "209865342976", "-666957211828224", "-29088885112832", "225809770695098368", "4951498053124096" ]
[ "sign", "easy" ]
17
0
4
[ "A000182", "A009387", "A012240" ]
null
R. H. Hardin
2015-06-22T22:28:22
oeisdata/seq/A009/A009387.seq
a0b44cecea0675dfa7ad49b11f5a2313
A009388
If a, b in sequence, so is a*b-1.
[ "2", "3", "5", "8", "9", "14", "15", "17", "23", "24", "26", "27", "29", "33", "39", "41", "44", "45", "47", "50", "51", "53", "57", "63", "65", "68", "69", "71", "74", "77", "80", "81", "84", "86", "87", "89", "93", "98", "99", "101", "105", "111", "113", "114", "116", "119", "122", "125", "129", "131", "134", "135", "137", "140", "141", "144", "147", "149", "152", "153", "158", "159", "161", "164" ]
[ "nonn" ]
23
1
1
[ "A005659", "A009293", "A009299", "A009388", "A192476" ]
null
David W. Wilson
2016-09-01T13:15:37
oeisdata/seq/A009/A009388.seq
7942378919788caef2b8f5cd8739e34c
A009389
Expansion of log(1+tanh(x))*cosh(x).
[ "0", "1", "-1", "3", "-4", "5", "-1", "7", "-64", "9", "1319", "11", "-49204", "13", "2653559", "15", "-196707424", "17", "19194804719", "19", "-2385684870724", "21", "367985503366799", "23", "-68980888889771104", "25", "15445553274667315799", "27", "-4071626956018456576564", "29" ]
[ "sign", "easy" ]
18
0
4
[ "A009389", "A160485" ]
null
R. H. Hardin
2015-06-22T22:28:47
oeisdata/seq/A009/A009389.seq
eed198b386451adea01c17a52efff3de
A009390
Expansion of e.g.f.: log(1 + tanh(x))*exp(x).
[ "0", "1", "1", "0", "0", "5", "5", "-56", "-56", "1329", "1329", "-49192", "-49192", "2653573", "2653573", "-196707408", "-196707408", "19194804737", "19194804737", "-2385684870704", "-2385684870704", "367985503366821", "367985503366821", "-68980888889771080", "-68980888889771080" ]
[ "sign", "easy" ]
34
0
6
[ "A009390", "A122045", "A173226" ]
null
R. H. Hardin
2022-09-08T08:44:37
oeisdata/seq/A009/A009390.seq
b932cdc7fcd0334b4f7cc133ae6a77a2
A009391
Expansion of log(1 + tanh(x))/cos(x).
[ "0", "1", "-1", "3", "-4", "25", "-61", "427", "-1184", "12465", "-49201", "555731", "-2361844", "35135945", "-191422141", "2990414715", "-17147588384", "329655706465", "-2289437638081", "45692713833379", "-329955144475204", "7777794952988025", "-65643617893832221" ]
[ "sign", "easy" ]
18
0
4
[ "A009391", "A009843" ]
null
R. H. Hardin
2022-10-14T11:59:07
oeisdata/seq/A009/A009391.seq
da20d5bda2820cd38188980da98e32c8
A009392
Expansion of e.g.f.: log(1+tanh(x))/cosh(x).
[ "0", "1", "-1", "-3", "8", "25", "-121", "-427", "3128", "12465", "-124921", "-555731", "7158128", "35135945", "-557749921", "-2990414715", "56767019408", "329655706465", "-7316056402321", "-45692713833379", "1164842760597368", "7777794952988025", "-224574978081433321" ]
[ "sign", "easy" ]
12
0
4
null
null
R. H. Hardin
2015-06-22T22:29:00
oeisdata/seq/A009/A009392.seq
4035fddf3b78494e4f5df71d873d75d2
A009393
Expansion of e.g.f. log(1+tanh(x))/exp(x).
[ "0", "1", "-3", "6", "-8", "5", "-7", "70", "-72", "-1311", "1309", "49214", "-49216", "-2653547", "2653545", "196707438", "-196707440", "-19194804703", "19194804701", "2385684870742", "-2385684870744", "-367985503366779", "367985503366777", "68980888889771126", "-68980888889771128" ]
[ "sign", "easy" ]
15
0
3
null
null
R. H. Hardin
2024-11-29T17:33:55
oeisdata/seq/A009/A009393.seq
fe980bec04eb13ef8b6945c94458ba9f
A009394
Expansion of e.g.f.: log(1+tanh(x)*cos(x)).
[ "0", "1", "-1", "-3", "14", "-35", "-16", "1057", "-10256", "59865", "-7936", "-5446683", "85543424", "-726781835", "-22368256", "133713611977", "-2849981597696", "32440474082865", "-209865342976", "-10034804733270963", "271127940241424384", "-3854719922524818035" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2015-06-22T22:29:25
oeisdata/seq/A009/A009394.seq
56bf1031596dea7f4222c755c6b739f7
A009395
Expansion of e.g.f.: log(1 + tanh(x)*exp(x)).
[ "0", "1", "1", "-3", "-2", "45", "-74", "-1113", "7288", "27465", "-647894", "1393227", "59935228", "-604628115", "-4418438114", "143982353967", "-381525392432", "-30072901507695", "405576151229266", "4636550476777107", "-187783513074129692", "514355533864732725" ]
[ "sign", "easy" ]
30
0
4
null
null
R. H. Hardin
2022-04-17T20:34:35
oeisdata/seq/A009/A009395.seq
f0f9c949c69343cb1453b00c49f00d37
A009396
Expansion of log(1+tanh(x)*sin(x)).
[ "0", "2", "-24", "742", "-46424", "4924442", "-795624324", "182148217942", "-56122289514224", "22395847873848242", "-11236967462922272124", "6923916000862956967342", "-5139905036702596261514024", "4524378924970721231979687242" ]
[ "sign" ]
14
0
2
null
null
R. H. Hardin
2015-06-22T22:29:49
oeisdata/seq/A009/A009396.seq
9fe39a159a37a8baa89b6d356cc97819
A009397
Expansion of log(1+tanh(x)*sinh(x)).
[ "0", "2", "-16", "422", "-22216", "1971002", "-265691116", "50700975782", "-13016429899216", "4327444080299762", "-1808838826865938516", "928500311849311382942", "-574198882099583321361016", "421058394568919310756145322" ]
[ "sign" ]
11
0
2
null
null
R. H. Hardin
2015-06-22T22:30:00
oeisdata/seq/A009/A009397.seq
131d310a59450a3c24f99fccd1884c10
A009398
Expansion of log(1+tanh(x)*tan(x)).
[ "0", "2", "-12", "352", "-16352", "1382912", "-172372992", "30716649472", "-7334631698432", "2270814362796032", "-883463096359452672", "422158497266733678592", "-243014206258719292915712", "165880670114405086398513152" ]
[ "sign" ]
16
0
2
[ "A009398", "A076417" ]
null
R. H. Hardin
2015-06-22T22:30:13
oeisdata/seq/A009/A009398.seq
1abfe8bffeae3071c6939356c20e64ae
A009399
Expansion of log(1+tanh(x)*x).
[ "0", "2", "-20", "576", "-33312", "3258880", "-485139456", "102300807168", "-29028932390912", "10668077137133568", "-4929291212351078400", "2797060130323340197888", "-1912137417504544127975424", "1550018044651811766917922816" ]
[ "sign" ]
17
0
2
[ "A009379", "A009399", "A069855", "A085984" ]
null
R. H. Hardin
2017-12-21T17:29:12
oeisdata/seq/A009/A009399.seq
cfd6304d420dd59f01c014e6ef15e978
A009400
Expansion of log(1+tanh(x)/cos(x)).
[ "0", "1", "-1", "3", "-10", "65", "-376", "2723", "-22800", "226785", "-2467456", "29857443", "-397200640", "5785047905", "-91090625536", "1544546456963", "-28057896929280", "543833037679425", "-11198060484591616", "244141035610073283", "-5618437516698910720" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2015-06-22T22:30:41
oeisdata/seq/A009/A009400.seq
2b261b323d390a888b13ed58a1275b18