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1999-12-11 03:00:00
2025-04-28 00:58:08
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32
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A009201
E.g.f. exp(sin(sin(x))).
[ "1", "1", "1", "-1", "-7", "-7", "73", "335", "-687", "-12367", "-19471", "461119", "2839561", "-15282199", "-260138759", "-15084017", "22560194593", "113205762401", "-1856685484703", "-23353924295169", "115492830956953", "3999727786726617", "5211807618131753", "-646193037236457649" ]
[ "sign", "easy" ]
17
0
5
null
null
R. H. Hardin
2018-12-21T11:49:46
oeisdata/seq/A009/A009201.seq
50fb5f9378509d03463c926c9927fdd4
A009202
Expansion of exp(sin(sinh(x))).
[ "1", "1", "1", "1", "1", "-7", "-47", "-223", "-895", "-2959", "-31", "82721", "1002497", "8156073", "53580465", "239061825", "-8587007", "-19348243487", "-305732208959", "-3454706477375", "-30437638147583", "-182295608480935", "144862063593105", "26905043182243041" ]
[ "sign", "easy" ]
12
0
6
null
null
R. H. Hardin
2017-04-01T11:41:24
oeisdata/seq/A009/A009202.seq
77974168a4ce757193bfc5ce66a1325e
A009203
Expansion of exp(sin(tan(x))).
[ "1", "1", "1", "2", "5", "8", "13", "-232", "-2199", "-25600", "-218311", "-2258048", "-20057555", "-212565376", "-1933691003", "-21159275264", "-181405779887", "-1935285600256", "-10159446470927", "-49976214294528", "2835996855537109", "63805712413261824" ]
[ "sign", "easy" ]
25
0
4
null
null
R. H. Hardin
2022-10-30T03:45:41
oeisdata/seq/A009/A009203.seq
2fdffbe3e31dc2ce871d1b7cb9578ba3
A009204
Expansion of e.g.f. exp(sin(tanh(x))).
[ "1", "1", "1", "-2", "-11", "8", "253", "344", "-9463", "-44416", "491609", "5130368", "-30257347", "-688030080", "1480493589", "109875416832", "177416283793", "-20650894622720", "-125705754161615", "4460981432725504", "53738108098148101", "-1069938200055119872" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2014-02-09T04:06:06
oeisdata/seq/A009/A009204.seq
ce63cda9642debcfe5166cdde91ad36f
A009205
a(n) = gcd(d(n), sigma(n)).
[ "1", "1", "2", "1", "2", "4", "2", "1", "1", "2", "2", "2", "2", "4", "4", "1", "2", "3", "2", "6", "4", "4", "2", "4", "1", "2", "4", "2", "2", "8", "2", "3", "4", "2", "4", "1", "2", "4", "4", "2", "2", "8", "2", "6", "6", "4", "2", "2", "3", "3", "4", "2", "2", "8", "4", "8", "4", "2", "2", "12", "2", "4", "2", "1", "4", "8", "2", "6", "4", "8", "2", "3", "2", "2", "2", "2", "4", "8", "2", "2", "1", "2", "2", "4", "4", "4", "4", "4", "2", "6", "4", "6", "4", "4", "4", "12", "2", "3", "6", "1", "2", "8", "2", "2", "8", "2", "2", "4", "2", "8", "4", "2", "2", "8", "4", "6", "2", "4", "4", "8" ]
[ "nonn" ]
25
1
3
[ "A000005", "A000203", "A009191", "A009194", "A009205", "A009278", "A064840", "A087801", "A286360" ]
null
David W. Wilson
2025-01-31T03:55:05
oeisdata/seq/A009/A009205.seq
85306abe55ac33e7e89c59b67274d3b2
A009206
Expansion of e.g.f.: exp(sin(x))*x.
[ "0", "1", "2", "3", "0", "-15", "-48", "-21", "448", "1953", "640", "-32461", "-152064", "77649", "4331264", "18557595", "-46686208", "-894805183", "-2948087808", "21405607651", "254321049600", "421226202033", "-10904188190720", "-90171090228021", "96102216892416", "6418365899545825" ]
[ "sign", "easy" ]
22
0
3
null
null
R. H. Hardin
2021-12-25T12:05:39
oeisdata/seq/A009/A009206.seq
d14b529be940a2ce4a924d558f796e12
A009207
Expansion of exp(sin(x))/cos(x).
[ "1", "1", "2", "3", "8", "17", "88", "315", "2176", "9505", "78080", "413523", "4159616", "26287601", "307882240", "2238416523", "29920681984", "246589091137", "3710767394816", "34186190864163", "571523842998272", "5819027995038161", "107010484096565248" ]
[ "nonn", "easy" ]
14
0
3
null
null
R. H. Hardin
2015-01-22T13:08:37
oeisdata/seq/A009/A009207.seq
bd32f2c83bb1fbfd417150a9c52a5e91
A009208
Expansion of exp(sin(x))/cosh(x).
[ "1", "1", "0", "-3", "-4", "17", "56", "-203", "-1072", "5473", "34368", "-254067", "-1781440", "16540721", "132000896", "-1419027899", "-12912385792", "156472224961", "1604411553792", "-21673957780323", "-247155791205376", "3688273509233489", "46275148760619008" ]
[ "sign", "easy" ]
16
0
4
null
null
R. H. Hardin
2017-04-01T11:41:09
oeisdata/seq/A009/A009208.seq
2212f13051de7a118bdc5087213604b3
A009209
Expansion of e.g.f.: exp(sin(x))/exp(x).
[ "1", "0", "0", "-1", "0", "1", "10", "-1", "-56", "-279", "246", "4619", "14388", "-53195", "-556478", "-864865", "13276912", "90192753", "-72903378", "-3987888493", "-16957067028", "101506932205", "1411655530330", "2206092853799", "-70455418153496", "-549095655588183", "1428569363164230" ]
[ "sign", "easy" ]
23
0
7
[ "A002017", "A009209", "A009227" ]
null
R. H. Hardin
2022-04-10T02:39:28
oeisdata/seq/A009/A009209.seq
c56d43266a4d340e6ed39793673b3f2b
A009210
Expansion of e.g.f.: exp(sin(x)*cos(x)).
[ "1", "1", "1", "-3", "-15", "-23", "177", "1253", "1057", "-37103", "-245471", "371085", "15691665", "76436089", "-608056239", "-10302629131", "-20287425215", "856245051169", "8821231566145", "-29959421725155", "-1376333505095631", "-7591883371988471", "139148719952772849" ]
[ "sign", "easy" ]
35
0
4
null
null
R. H. Hardin
2024-12-29T21:41:09
oeisdata/seq/A009/A009210.seq
6ceea200da89f86c5e7a98832e441d7e
A009211
Expansion of exp(sin(x)*cosh(x)).
[ "1", "1", "1", "3", "9", "17", "57", "259", "497", "961", "9169", "-8349", "-299079", "-420847", "-7650615", "-107714525", "-160774303", "-291144191", "-24228427487", "71679177795", "1725345708777", "-2546217250159", "79802910103257", "1636072819714243", "-2815860329426863" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2021-12-29T12:14:35
oeisdata/seq/A009/A009211.seq
d1d108149f0038243247de10c6a0d087
A009212
E.g.f. exp(sin(x)*exp(x)).
[ "1", "1", "3", "9", "33", "137", "619", "3017", "15617", "84625", "474771", "2723721", "15730209", "89487257", "482793211", "2259370697", "6292321025", "-41172399839", "-1066104760797", "-14517156416247", "-163539106749663", "-1652237279663959", "-15169567281615221" ]
[ "sign", "easy" ]
15
0
3
null
null
R. H. Hardin
2017-04-01T11:38:17
oeisdata/seq/A009/A009212.seq
be5d16fb743a8d5f334cd82c676043c6
A009213
a(n) = gcd(d(n), phi(n)), where d is the number of divisors of n (A000005) and phi is Euler's totient function (A000010).
[ "1", "1", "2", "1", "2", "2", "2", "4", "3", "4", "2", "2", "2", "2", "4", "1", "2", "6", "2", "2", "4", "2", "2", "8", "1", "4", "2", "6", "2", "8", "2", "2", "4", "4", "4", "3", "2", "2", "4", "8", "2", "4", "2", "2", "6", "2", "2", "2", "3", "2", "4", "6", "2", "2", "4", "8", "4", "4", "2", "4", "2", "2", "6", "1", "4", "4", "2", "2", "4", "8", "2", "12", "2", "4", "2", "6", "4", "8", "2", "2", "1", "4", "2", "12", "4", "2", "4", "8", "2", "12", "4", "2", "4", "2", "4", "4", "2", "6", "6", "1", "2", "8", "2", "8", "8" ]
[ "nonn" ]
9
1
3
[ "A000005", "A000010", "A009191", "A009195", "A009213", "A009223", "A318459" ]
null
David W. Wilson
2018-09-07T09:13:57
oeisdata/seq/A009/A009213.seq
626e5647077edb4eca74bb8a922623e3
A009214
E.g.f. exp(x*sin(x)) (even powers only).
[ "1", "2", "8", "6", "-792", "-10790", "281940", "13531350", "-260660176", "-33714262350", "550333492140", "158933551076014", "-2777269276818168", "-1301993178430302774", "33725324008920743108", "17091479764089813623430" ]
[ "sign" ]
20
0
2
[ "A009214", "A009233" ]
null
R. H. Hardin
2022-03-10T10:22:27
oeisdata/seq/A009/A009214.seq
d3f934d92ea712c09ff28bd4c913de60
A009215
Expansion of e.g.f.: exp(sin(x)/cosh(x)).
[ "1", "1", "1", "-3", "-15", "-3", "297", "1113", "-6783", "-77063", "70609", "5509845", "18558705", "-430006731", "-4027228359", "33282260529", "727421677185", "-1454472663311", "-134584692783455", "-448480622503635", "26232888936219249", "254015086363619949" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2017-04-01T11:36:53
oeisdata/seq/A009/A009215.seq
d5f5577e376e62079eb796613e7f8afe
A009216
E.g.f.: exp(sin(x)/exp(x)).
[ "1", "1", "-1", "-3", "9", "17", "-145", "21", "2961", "-9119", "-58273", "530541", "177177", "-24815503", "109736783", "845196933", "-11562650847", "9274089409", "818943535295", "-6145817165859", "-30817061557719", "818240768280017", "-3016149953173201", "-67401109608160779" ]
[ "sign", "easy" ]
18
0
4
null
null
R. H. Hardin
2017-04-01T11:36:36
oeisdata/seq/A009/A009216.seq
a132ae8be0805e1484c4cb67229775a9
A009217
E.g.f. exp(sin(x)^2) (even powers only).
[ "1", "2", "4", "-88", "-1136", "46112", "1098304", "-103251328", "-1963486976", "585781985792", "-5685626878976", "-6083058037577728", "447306486332821504", "87514624808197824512", "-19369074730552627675136" ]
[ "sign" ]
17
0
2
null
null
R. H. Hardin
2024-08-25T16:55:54
oeisdata/seq/A009/A009217.seq
aef0a4f8a9eaef8190ad6c6016e2f3ff
A009218
Expansion of e.g.f. exp(sinh(log(1+x))).
[ "1", "1", "0", "1", "-2", "6", "-14", "-20", "876", "-12572", "157816", "-1953324", "24704560", "-323390144", "4399642248", "-62212681544", "912281561296", "-13817130664560", "214872589110016", "-3401627908578992", "54093656991247776", "-844240783639323104" ]
[ "sign", "easy" ]
23
0
5
null
null
R. H. Hardin
2024-02-14T03:39:34
oeisdata/seq/A009/A009218.seq
4cf76e3be183bc351940b41c3092746c
A009219
Expansion of e.g.f.: exp(sinh(sin(x))).
[ "1", "1", "1", "1", "1", "-7", "-47", "-111", "1", "1073", "13409", "94337", "77441", "-2853783", "-19836879", "-123530351", "-535288319", "9169805409", "139742075329", "451648395649", "-2263631905535", "-48860758779943", "-1157041164813423", "-9373388534437103" ]
[ "sign", "easy" ]
14
0
6
null
null
R. H. Hardin
2019-10-20T17:40:03
oeisdata/seq/A009/A009219.seq
b4bf6a7d419db75d028e92846610231a
A009220
Sum(a(n)*x^n/n!) = exp(sinh(sinh(x))).
[ "1", "1", "1", "3", "9", "33", "153", "731", "4273", "25857", "177489", "1311379", "10342137", "89060065", "800697641", "7778778091", "78896218081", "849264442881", "9587206592289", "113234181108643", "1403875965476969", "18073465545032353", "243412313149166137", "3395124358886313595", "49273184499900888465" ]
[ "nonn", "easy" ]
12
0
4
null
null
R. H. Hardin
2018-01-29T15:28:55
oeisdata/seq/A009/A009220.seq
3903ea372902151fa3b0289eef18e375
A009221
Expansion of exp(sinh(tan(x))).
[ "1", "1", "1", "4", "13", "68", "373", "2472", "18649", "152144", "1433129", "14034560", "156563045", "1799730624", "23043285021", "304857999232", "4392102360241", "65741679927552", "1051530622359889", "17551668357299200", "308633929353801661" ]
[ "nonn", "easy" ]
8
0
4
null
null
R. H. Hardin
2014-01-27T09:12:47
oeisdata/seq/A009/A009221.seq
b92ac9e76689c75b92088ccbb3a9e80b
A009222
Expansion of e.g.f.: exp(sinh(tanh(x))).
[ "1", "1", "1", "0", "-3", "-12", "-27", "248", "2425", "-3504", "-143031", "-115904", "8956533", "17130688", "-618394579", "-265254272", "46232494321", "-452604387072", "-3608163168111", "186145181366272", "254307747662573", "-61549828575435776", "15725973912655477" ]
[ "sign", "easy" ]
13
0
5
null
null
R. H. Hardin
2024-05-03T19:09:58
oeisdata/seq/A009/A009222.seq
c813969b12d792e0b8e95d819f51817d
A009223
a(n) = gcd(sigma(n), phi(n)).
[ "1", "1", "2", "1", "2", "2", "2", "1", "1", "2", "2", "4", "2", "6", "8", "1", "2", "3", "2", "2", "4", "2", "2", "4", "1", "6", "2", "4", "2", "8", "2", "1", "4", "2", "24", "1", "2", "6", "8", "2", "2", "12", "2", "4", "6", "2", "2", "4", "3", "1", "8", "2", "2", "6", "8", "24", "4", "2", "2", "8", "2", "6", "4", "1", "12", "4", "2", "2", "4", "24", "2", "3", "2", "6", "4", "4", "12", "24", "2", "2", "1", "2", "2", "8", "4", "6", "8", "20", "2", "6", "8", "4", "4", "2", "24", "4", "2", "3", "12", "1", "2", "8" ]
[ "nonn" ]
21
1
3
[ "A000010", "A000203", "A009223" ]
null
David W. Wilson
2023-05-11T13:16:18
oeisdata/seq/A009/A009223.seq
1dee018c03d859a0cdf258678507045e
A009224
Expansion of exp(sinh(x))*x.
[ "0", "1", "2", "3", "8", "25", "72", "259", "1024", "4113", "18720", "89859", "451200", "2452905", "13870976", "82466115", "517341184", "3364642465", "22907884032", "162289204995", "1190546278400", "9080010901689", "71557772290048", "582825476943747", "4904509780131840" ]
[ "nonn", "easy" ]
14
0
3
null
null
R. H. Hardin
2024-12-20T15:27:09
oeisdata/seq/A009/A009224.seq
5dd646741e73ab1f605b223a40d3e14a
A009225
Expansion of exp(sinh(x))/cos(x).
[ "1", "1", "2", "5", "16", "57", "248", "1157", "6336", "36753", "244480", "1702725", "13409408", "109438409", "999327488", "9375819525", "97590304768", "1036122313377", "12120423043072", "143739691502213", "1867576863899648", "24474485553698265" ]
[ "nonn", "easy" ]
8
0
3
null
null
R. H. Hardin
2014-01-27T09:12:47
oeisdata/seq/A009/A009225.seq
2baf93de0dc3818e9c48e4dd1e2a022d
A009226
Expansion of e.g.f.: exp(sinh(x))/cosh(x).
[ "1", "1", "0", "-1", "4", "17", "-24", "-201", "848", "7041", "-25792", "-291025", "1491392", "18979729", "-106879616", "-1597285977", "10504954112", "176766161281", "-1298259085312", "-24470008076193", "200164547589120", "4166922390589073", "-37466482286032896" ]
[ "sign", "easy" ]
15
0
5
null
null
R. H. Hardin
2017-04-01T12:00:04
oeisdata/seq/A009/A009226.seq
ed601070bfa3806b4206b3accaab1982
A009227
Expansion of e.g.f.: exp(sinh(x))/exp(x).
[ "1", "0", "0", "1", "0", "1", "10", "1", "56", "281", "246", "4621", "16412", "53197", "564642", "1937937", "13309648", "100397649", "454215214", "4082253589", "26498068420", "174791970677", "1575851086778", "10628056916313", "91523101970104", "788580099169337", "6237722665351750", "60190551618214941" ]
[ "nonn", "easy" ]
20
0
7
[ "A003724", "A009209", "A009227" ]
null
R. H. Hardin
2022-04-09T20:29:16
oeisdata/seq/A009/A009227.seq
8865c7d0f5497a0b45b042edbaa1ccbc
A009228
Expansion of e.g.f.: exp(sinh(x)*cos(x)).
[ "1", "1", "1", "-1", "-7", "-23", "-23", "135", "1297", "4785", "6129", "-102353", "-894903", "-4499623", "-829671", "167774711", "1879275169", "9259741409", "-1886150559", "-697193437985", "-7580265762535", "-45391655836087", "85001467923145", "4778091975791591", "61409100961369265", "356972130348630673" ]
[ "sign", "easy" ]
20
0
5
null
null
R. H. Hardin
2017-04-01T11:59:48
oeisdata/seq/A009/A009228.seq
7b51cd7ac072452ab60192ad9bf060ee
A009229
Expansion of e.g.f. exp(sinh(x)*cosh(x)).
[ "1", "1", "1", "5", "17", "57", "337", "1661", "9697", "68529", "451809", "3570613", "29324913", "247557481", "2348275633", "22399292077", "229227939521", "2476740370529", "27378158737089", "323000223133285", "3912000089144273", "49350756905258905", "649905519911431953", "8776449485870211549" ]
[ "nonn", "easy" ]
43
0
4
null
null
R. H. Hardin
2022-02-26T10:51:58
oeisdata/seq/A009/A009229.seq
f0b967edd51350dc1c5892ebc446f31c
A009230
a(n) = lcm(n, d(n)).
[ "1", "2", "6", "12", "10", "12", "14", "8", "9", "20", "22", "12", "26", "28", "60", "80", "34", "18", "38", "60", "84", "44", "46", "24", "75", "52", "108", "84", "58", "120", "62", "96", "132", "68", "140", "36", "74", "76", "156", "40", "82", "168", "86", "132", "90", "92", "94", "240", "147", "150", "204", "156", "106", "216", "220", "56", "228", "116", "118", "60", "122", "124", "126", "448" ]
[ "nonn" ]
20
1
2
[ "A000005", "A009230", "A033950" ]
null
David W. Wilson
2023-10-27T19:28:08
oeisdata/seq/A009/A009230.seq
450c30bb4b218234a0bd0ef3c999ef22
A009231
Expansion of exp(sinh(x)*log(1+x)).
[ "1", "0", "2", "-3", "24", "-100", "760", "-5271", "46424", "-430704", "4535458", "-51583675", "641139356", "-8578689912", "123397966718", "-1895969179755", "31013379835728", "-537961001417760", "9865047642312306", "-190684789616229651", "3875088566364987868" ]
[ "sign", "easy" ]
15
0
3
null
null
R. H. Hardin
2015-06-21T21:50:35
oeisdata/seq/A009/A009231.seq
74d101d244d20984a592c580d01af9de
A009232
Expansion of exp(sinh(x)*sin(x)).
[ "1", "2", "12", "112", "1232", "10112", "-187968", "-17297408", "-743941888", "-15034114048", "1067281001472", "164133555208192", "11143403147251712", "55023491428646912", "-105243085074533203968", "-16342277967934744690688" ]
[ "sign" ]
12
0
2
null
null
R. H. Hardin
2017-04-01T11:59:32
oeisdata/seq/A009/A009232.seq
9f1440bf91dd542f7e36cc208bfdfde5
A009233
Expansion of e.g.f. exp(sinh(x)*x) (even powers only).
[ "1", "2", "16", "246", "5944", "202330", "9099564", "517447126", "36048776656", "3003924569778", "293835907664980", "33232296062419630", "4291773869167401720", "626311538509296801226", "102365694283336181089084", "18595053487766135171539590", "3729223211361742071603266464" ]
[ "nonn" ]
29
0
2
[ "A009214", "A009233", "A352254" ]
null
R. H. Hardin
2022-04-11T16:38:32
oeisdata/seq/A009/A009233.seq
750d7047a85b171d08987403705f2cfe
A009234
Expansion of e.g.f.: exp(sinh(x)/cos(x)).
[ "1", "1", "1", "5", "17", "77", "457", "2641", "19777", "149529", "1305489", "12183613", "122670033", "1342074021", "15462740633", "192192501897", "2502900454401", "34713417890609", "504155298072609", "7713202738776565", "123438576028985873" ]
[ "nonn", "easy" ]
13
0
4
null
null
R. H. Hardin
2014-02-09T04:05:20
oeisdata/seq/A009/A009234.seq
3110337a0c07b669bd9b808ddf84992c
A009235
E.g.f. exp( sinh(x) / exp(x) ) = exp( (1-exp(-2*x))/2 ).
[ "1", "1", "-1", "-1", "9", "-23", "-25", "583", "-3087", "4401", "79087", "-902097", "4783801", "2361049", "-348382697", "4102879415", "-24288551071", "-47413121055", "3214104039007", "-44472852461857", "326386562502889", "417716032223049", "-55104307651136313", "962111031220099495" ]
[ "sign", "easy" ]
69
0
5
[ "A004211", "A009235", "A317996", "A318179", "A318180", "A318181" ]
null
R. H. Hardin
2020-01-06T14:13:19
oeisdata/seq/A009/A009235.seq
aedc7b6b16e5d47388ae24a31c44ec7a
A009236
E.g.f. exp(sinh(x)^2) (even powers only).
[ "1", "2", "20", "392", "12560", "579872", "36034880", "2874676352", "284538241280", "34058188677632", "4831480473359360", "799233222752602112", "152126941229960990720", "32947584100184816033792", "8042650107769696199720960", "2194728130327915760239542272", "664779526701915421094019399680" ]
[ "nonn" ]
30
0
2
null
null
R. H. Hardin
2024-12-29T21:41:04
oeisdata/seq/A009/A009236.seq
b8bbc174ad16faa84e7f342f1c15c2dc
A009237
Expansion of exp(tan(log(1+x))).
[ "1", "1", "0", "2", "-4", "26", "-134", "930", "-6728", "53056", "-413744", "2752936", "-3042040", "-488089848", "16658828096", "-442856699584", "11075864697536", "-274957302952960", "6922538197811392", "-178529204224920384", "4739350807332125056" ]
[ "sign", "easy" ]
15
0
4
null
null
R. H. Hardin
2015-06-21T21:50:29
oeisdata/seq/A009/A009237.seq
bfcec4488c66b14b8bdeeb3172513d01
A009238
Expansion of e.g.f. exp(tan(sin(x))).
[ "1", "1", "1", "2", "5", "8", "13", "-64", "-855", "-5632", "-38791", "-205184", "-747539", "-240640", "59637061", "859820032", "9421489105", "90170851328", "573991066225", "1502445600768", "-49290541346219", "-1320541298393088", "-20481513828195331", "-272882319216148480" ]
[ "sign", "easy" ]
27
0
4
null
null
R. H. Hardin
2018-01-27T06:30:28
oeisdata/seq/A009/A009238.seq
e4675db9b8fc04b0bfa90bb3b05c6a97
A009239
Expansion of e.g.f.: exp(tan(sinh(x))).
[ "1", "1", "1", "4", "13", "68", "373", "2528", "19097", "160400", "1522409", "15384128", "174263717", "2066458176", "27072485469", "369136141824", "5477315064625", "84457146691840", "1398343023229393", "24053254928131072", "439386703590146365" ]
[ "nonn", "easy" ]
12
0
4
null
null
R. H. Hardin
2018-06-04T18:41:19
oeisdata/seq/A009/A009239.seq
9e8ef9d3287903f6bac1f01d85fa781b
A009240
Expansion of exp(tan(tan(x))).
[ "1", "1", "1", "5", "17", "113", "673", "5669", "48033", "494081", "5387009", "65835109", "871869745", "12394430129", "192177458593", "3124415825605", "55316788832065", "1014225530028161", "20139680768683777", "411568350375102789" ]
[ "nonn", "easy" ]
8
0
4
null
null
R. H. Hardin
2014-01-27T09:12:47
oeisdata/seq/A009/A009240.seq
379437a235980e270d319224af644359
A009241
Expansion of e.g.f.: exp(tan(tanh(x))).
[ "1", "1", "1", "1", "1", "-7", "-47", "-55", "449", "2897", "18209", "5105", "-1441087", "-7252983", "41192817", "341550201", "2660018305", "43255573537", "-460752070079", "-11238852308639", "21450325749889", "963068748879257", "1057483104728337", "153386988236833449" ]
[ "sign", "easy" ]
14
0
6
null
null
R. H. Hardin
2022-04-05T13:16:45
oeisdata/seq/A009/A009241.seq
fec449c41806bad44819e233bffab4bc
A009242
a(n) = lcm(n, sigma(n)).
[ "1", "6", "12", "28", "30", "12", "56", "120", "117", "90", "132", "84", "182", "168", "120", "496", "306", "234", "380", "420", "672", "396", "552", "120", "775", "546", "1080", "56", "870", "360", "992", "2016", "528", "918", "1680", "3276", "1406", "1140", "2184", "360", "1722", "672", "1892", "924", "1170", "1656", "2256", "1488", "2793", "4650", "1224", "2548" ]
[ "nonn", "easy" ]
21
1
2
[ "A009194", "A009242", "A017665", "A064987" ]
null
David W. Wilson
2024-03-27T09:00:11
oeisdata/seq/A009/A009242.seq
5cdab4c13797459c0798afed077db178
A009243
Expansion of exp(tan(x))*x.
[ "0", "1", "2", "3", "12", "45", "222", "1239", "7672", "54873", "416410", "3577739", "32324292", "322495173", "3382216502", "38370542175", "457713511280", "5817952885169", "77686268202162", "1093812528874387", "16145162631579900", "249472828725529437", "4030053480328871182", "67807763939709678951" ]
[ "nonn", "easy" ]
13
0
3
null
null
R. H. Hardin
2012-11-26T11:45:10
oeisdata/seq/A009/A009243.seq
bea66f8d0df01d68384fdcc1a4331235
A009244
Expansion of e.g.f.: exp(tan(x))/cos(x).
[ "1", "1", "2", "6", "20", "92", "448", "2688", "17296", "127312", "1013600", "8850336", "83547584", "845380928", "9196867072", "105911556096", "1301697829120", "16814357324032", "230093807905280", "3294279618252288", "49636887216382976" ]
[ "nonn", "easy" ]
17
0
3
null
null
R. H. Hardin
2022-05-25T01:50:23
oeisdata/seq/A009/A009244.seq
9b401eaec24e91adfd242ed8321b5b63
A009245
Expansion of exp(tan(x))/cosh(x).
[ "1", "1", "0", "0", "8", "32", "56", "280", "3968", "27520", "133248", "1072896", "13993088", "137702528", "1139191808", "12544190464", "178943504384", "2268209053696", "26439024316416", "366953307820032", "5943319707680768", "91839717688770560" ]
[ "nonn", "easy" ]
10
0
5
null
null
R. H. Hardin
2016-05-01T14:17:21
oeisdata/seq/A009/A009245.seq
479a762e7977423bca830d72467b9cb6
A009246
Expansion of exp(tan(x))/exp(x).
[ "1", "0", "0", "2", "0", "16", "40", "272", "1792", "10176", "97536", "649472", "7185024", "59488768", "710474752", "7190574848", "91774959616", "1098412695552", "15045919272960", "206459812782080", "3050231036903424", "46832947884802048", "747964948517158912", "12622945785546997760" ]
[ "nonn", "easy" ]
20
0
4
null
null
R. H. Hardin
2014-01-27T09:12:47
oeisdata/seq/A009/A009246.seq
323c8f7213944b1f425b9e0220bb8f21
A009247
Expansion of exp(tan(x)*cosh(x)).
[ "1", "1", "1", "6", "21", "92", "597", "3472", "26537", "209488", "1834249", "17750304", "180938109", "2024471360", "23781199197", "300235771648", "3989919982673", "56114783183104", "830092069266577", "12879188611161600", "209479116176732901", "3554985326516636672" ]
[ "nonn", "easy" ]
15
0
4
null
null
R. H. Hardin
2014-01-27T09:12:47
oeisdata/seq/A009/A009247.seq
6f0362eb4ec9dcc25f87bcb2c5d768a6
A009248
Expansion of e.g.f.: exp(tan(x).exp(x)).
[ "1", "1", "3", "12", "57", "332", "2209", "16730", "140609", "1302664", "13137441", "143354574", "1680017889", "21043179068", "280310970385", "3955899181730", "58931602709633", "923925812276752", "15201851967182913", "261859798838325270" ]
[ "nonn", "easy" ]
10
0
3
null
null
R. H. Hardin
2014-06-11T14:30:37
oeisdata/seq/A009/A009248.seq
5aa58ae0872067bc78fba39326748f2e
A009249
E.g.f. exp(tan(x)*log(1+x)).
[ "1", "0", "2", "-3", "28", "-110", "1010", "-6636", "67856", "-618120", "7231048", "-82977400", "1111357256", "-15222508080", "231587495568", "-3664098311160", "62674059676416", "-1120961847782976", "21339716663592384", "-424956180060612864" ]
[ "sign", "easy" ]
17
0
3
null
null
R. H. Hardin
2017-04-01T13:26:23
oeisdata/seq/A009/A009249.seq
f151b3e0eaa6c237a3b14f186586c36b
A009250
E.g.f. exp(tan(x)*sin(x)) (even powers only).
[ "1", "2", "16", "302", "10456", "564842", "43545676", "4528889822", "610057244176", "103185102761042", "21388501828276756", "5328050642207280902", "1569616725144816645016", "539516138161105990193402" ]
[ "nonn" ]
18
0
2
null
null
R. H. Hardin
2018-01-27T06:31:50
oeisdata/seq/A009/A009250.seq
15b14d46783f4d5055e195d5151d2002
A009251
Expansion of exp(tan(x)*sinh(x)).
[ "1", "2", "24", "622", "27944", "1905482", "182347044", "23219007502", "3785452962224", "767440357144082", "189091470902634684", "55586950224109363222", "19201372121239603122824", "7694882454025442035178522" ]
[ "nonn" ]
11
0
2
null
null
R. H. Hardin
2020-08-01T16:40:50
oeisdata/seq/A009/A009251.seq
76cfd44de496faab55fd4f8f1b48e169
A009252
E.g.f. exp(x*tan(x)) (even powers only).
[ "1", "2", "20", "456", "18192", "1111840", "96035136", "11101474944", "1651123634432", "306656507699712", "69472549405824000", "18838618322988648448", "6019938761233443262464", "2237523930630521828745216" ]
[ "nonn" ]
15
0
2
[ "A009252", "A024263" ]
null
R. H. Hardin
2015-01-20T12:53:30
oeisdata/seq/A009/A009252.seq
7e203d1004b3542db1836ffa3b1a5ab6
A009253
Expansion of exp(tan(x)/cos(x)).
[ "1", "1", "1", "6", "21", "112", "717", "4592", "38857", "318208", "3158329", "32169984", "363525789", "4399544320", "56250039237", "779244812288", "11210469917713", "173483433263104", "2783865475754737", "47421793222656000", "840008000833503141" ]
[ "nonn", "easy" ]
13
0
4
null
null
R. H. Hardin
2014-01-27T09:12:48
oeisdata/seq/A009/A009253.seq
d6ff6cd6431ac4685a23a2822bb60e54
A009254
Expansion of exp(tan(x)/cosh(x)).
[ "1", "1", "1", "0", "-3", "12", "117", "336", "-903", "-2096", "111529", "1043328", "687093", "-29488704", "320199453", "8894706432", "44530596081", "-389860902656", "254346923089", "170568226222080", "2006766293627373", "-6327905330549760", "-141849542553657147" ]
[ "sign", "easy" ]
13
0
5
null
null
R. H. Hardin
2018-03-07T19:19:21
oeisdata/seq/A009/A009254.seq
dd24cb2d18547364da535d1c65202a2d
A009255
Expansion of exp(tan(x)/exp(x)).
[ "1", "1", "-1", "0", "9", "-28", "65", "294", "-2751", "21496", "-69343", "143154", "4340193", "-44055100", "549236753", "-3053333154", "25428876417", "103583035888", "-1719503726527", "62167764668394", "-580794950152287", "11376539928963260", "-67379231311376719" ]
[ "sign", "easy" ]
13
0
5
null
null
R. H. Hardin
2019-05-05T14:04:20
oeisdata/seq/A009/A009255.seq
d061c30b87e6ad8f928b02b954d84098
A009256
Expansion of e.g.f. exp(tan(x)^2) (even powers only).
[ "1", "2", "28", "872", "47248", "3907232", "454886848", "70597546112", "14042505449728", "3475021574246912", "1045247734061145088", "375054668796817221632", "158085597663328138006528", "77269840864693331267919872" ]
[ "nonn" ]
24
0
2
null
null
R. H. Hardin
2023-08-08T02:12:44
oeisdata/seq/A009/A009256.seq
906dcea168e97eb4326fa562324ee2ed
A009257
Expansion of e.g.f. exp(tanh(log(1+x))).
[ "1", "1", "0", "-2", "4", "6", "-74", "190", "1128", "-14336", "51616", "404856", "-7330520", "41023048", "250083744", "-7532037344", "65189204416", "185746926720", "-13324842809792", "175157684686144", "-215786634724224", "-35458746254274944", "711274631768613760" ]
[ "sign", "easy" ]
26
0
4
null
null
R. H. Hardin
2024-02-22T02:12:57
oeisdata/seq/A009/A009257.seq
a96c9660732b7251948c2450238ef34a
A009258
Expansion of exp(tanh(sin(x))).
[ "1", "1", "1", "-2", "-11", "8", "253", "288", "-9911", "-40192", "567449", "4910720", "-42551299", "-708052992", "3661191381", "124294481920", "-252072060911", "-26387620528128", "-34332471915599", "6672448330104832", "34386811167577477", "-1974770538516348928" ]
[ "sign", "easy" ]
11
0
4
null
null
R. H. Hardin
2017-04-01T13:24:23
oeisdata/seq/A009/A009258.seq
a60d39b8c2e261887a5c476243fa55f8
A009259
Expansion of exp(tanh(sinh(x))).
[ "1", "1", "1", "0", "-3", "-12", "-27", "80", "1081", "4368", "-3831", "-194048", "-1567563", "-3700928", "73024877", "1030112512", "4980721009", "-37188370176", "-1015258860783", "-9180483559424", "13245921859181", "1551617290925056", "20750351796802549", "57029184668422144" ]
[ "sign", "easy" ]
11
0
5
null
null
R. H. Hardin
2017-04-01T13:24:07
oeisdata/seq/A009/A009259.seq
493efd9c0f712d1f5cf9b6b58624503f
A009260
Expansion of exp(tanh(tan(x))).
[ "1", "1", "1", "1", "1", "-7", "-47", "-279", "-1343", "-5167", "-8671", "150833", "2436545", "27945609", "249528945", "1993449433", "10176663169", "-9028140255", "-1606374108095", "-31838140005407", "-482969577637247", "-6048738288194407", "-59264468409177327" ]
[ "sign", "easy" ]
14
0
6
null
null
R. H. Hardin
2021-06-08T16:28:00
oeisdata/seq/A009/A009260.seq
51bcf71f8ced19a997f203e73ac375d3
A009261
E.g.f.: Expansion of exp(tanh(tanh(x))).
[ "1", "1", "1", "-3", "-15", "33", "513", "-403", "-31007", "-41247", "2881089", "12404989", "-376412847", "-3175861439", "64825974593", "925805229229", "-13951231536191", "-320290449542079", "3556538162237313", "131747901365358205", "-998391201911168335" ]
[ "sign", "easy" ]
15
0
4
null
null
R. H. Hardin
2017-04-01T13:22:16
oeisdata/seq/A009/A009261.seq
4ee18d8c604fc187a50ccf41d2f15dc3
A009262
a(n) = lcm(n, phi(n)).
[ "1", "2", "6", "4", "20", "6", "42", "8", "18", "20", "110", "12", "156", "42", "120", "16", "272", "18", "342", "40", "84", "110", "506", "24", "100", "156", "54", "84", "812", "120", "930", "32", "660", "272", "840", "36", "1332", "342", "312", "80", "1640", "84", "1806", "220", "360", "506", "2162", "48", "294", "100", "1632", "312", "2756", "54", "440", "168", "684", "812", "3422" ]
[ "nonn" ]
29
1
2
[ "A000010", "A007694", "A007947", "A009262", "A052106", "A069209", "A076512", "A109395", "A174824" ]
null
David W. Wilson
2024-10-12T09:05:24
oeisdata/seq/A009/A009262.seq
c4e437e3ae4a1c6e255336ab01dc9cec
A009263
Expansion of e.g.f.: exp(tanh(x)).x.
[ "0", "1", "2", "3", "-4", "-35", "-18", "679", "2200", "-18567", "-150150", "587499", "11618004", "-9780459", "-1078005082", "-2502478065", "118928710576", "742659420913", "-15184771406478", "-178572619407021", "2148536703814700", "44455465546363725" ]
[ "sign", "easy" ]
17
0
3
null
null
R. H. Hardin
2014-06-25T03:49:17
oeisdata/seq/A009/A009263.seq
6e470e18304487a277ff8f4b8ec2ab94
A009264
Expansion of e.g.f.: exp(tanh(x))/cos(x).
[ "1", "1", "2", "2", "4", "12", "128", "464", "1296", "336", "85600", "838752", "4372160", "-11036608", "148860416", "5128035072", "54261590272", "-109537337088", "-1474575037952", "68456854604288", "1579094994228224", "1239349299477504", "-145025202842173440" ]
[ "sign", "easy" ]
15
0
3
null
null
R. H. Hardin
2022-05-24T07:54:42
oeisdata/seq/A009/A009264.seq
8591c6e587764bbd0e47d096c35a5fe2
A009265
Expansion of exp(tanh(x))/cosh(x).
[ "1", "1", "0", "-4", "-8", "32", "216", "-264", "-7552", "-9216", "349568", "1548032", "-20281216", "-190744448", "1350879232", "25395878400", "-84211707904", "-3862395551744", "-286327484416", "674521189158912", "2529465981566976", "-133945803441307648" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2017-04-01T13:53:10
oeisdata/seq/A009/A009265.seq
70264cb502a8c6952eb97b00ba42e984
A009266
Expansion of exp(tanh(x))/exp(x).
[ "1", "0", "0", "-2", "0", "16", "40", "-272", "-1792", "5696", "97536", "-58112", "-6692224", "-14752256", "566971392", "3293370624", "-57170149376", "-629890867200", "6512209063936", "128178697854976", "-759960372641792", "-28999010130804736", "64032469498658816" ]
[ "sign", "easy" ]
11
0
4
null
null
R. H. Hardin
2017-04-01T13:51:29
oeisdata/seq/A009/A009266.seq
927e8db09870e60b5d1ab18654a28bed
A009267
Expansion of exp(tanh(x)*cos(x)).
[ "1", "1", "1", "-4", "-19", "-8", "397", "1752", "-7943", "-117312", "-64551", "7882624", "43466469", "-537535360", "-7570028763", "27307332608", "1224976528753", "2518262718464", "-203222727578703", "-1691557864632320", "33945910273599581", "611413449329426432" ]
[ "sign", "easy" ]
14
0
4
null
null
R. H. Hardin
2021-05-07T17:32:25
oeisdata/seq/A009/A009267.seq
47a8b0350ae7e294ae557474c9521707
A009268
Expansion of e.g.f. exp(tanh(x)*exp(x)).
[ "1", "1", "3", "8", "25", "92", "369", "1626", "8033", "42312", "230081", "1354190", "8806769", "59072860", "398252833", "2892141666", "22862362049", "182200364944", "1492258801793", "13163090657814", "111357664397265", "938233188787748", "11338336523834337" ]
[ "sign", "easy" ]
21
0
3
null
null
R. H. Hardin
2018-02-25T18:12:23
oeisdata/seq/A009/A009268.seq
bfe40c1bb6dcd70b9b78e05f9b647743
A009269
Expansion of e.g.f. exp(tanh(x)*log(1+x)).
[ "1", "0", "2", "-3", "12", "-70", "370", "-2436", "20048", "-175176", "1679368", "-18271000", "216489416", "-2751576048", "37874200208", "-560956931640", "8845252164864", "-148215651070272", "2635014886145472", "-49474969983055872", "977864639612813440" ]
[ "sign", "easy" ]
26
0
3
null
null
R. H. Hardin
2018-01-27T06:31:55
oeisdata/seq/A009/A009269.seq
207ed6a20a5f133f29bad3a01c587aed
A009270
Expansion of exp(tanh(x)*sin(x)).
[ "1", "2", "0", "-98", "1400", "10442", "-2400420", "182874382", "-11026390960", "272975496722", "101146071584580", "-35170244758056938", "8878370234261147000", "-2024456851681157735398", "406854219864771946133100" ]
[ "sign" ]
14
0
2
null
null
R. H. Hardin
2018-03-15T16:40:25
oeisdata/seq/A009/A009270.seq
adbfa8732f9f96cae4cb8075f26d1216
A009271
Expansion of exp(tanh(x)*sinh(x)).
[ "1", "2", "8", "62", "968", "9962", "557108", "-202018", "851334128", "16341130322", "-6757456189972", "2480221403307782", "-678177401929552792", "194099813539570880762", "-58073452241962644117532", "18437894946039087568249262" ]
[ "sign" ]
14
0
2
null
null
R. H. Hardin
2017-04-01T13:37:20
oeisdata/seq/A009/A009271.seq
191e36ec8f3c9712a322e98ffb4ad444
A009272
E.g.f. exp(tanh(x)*tan(x)), even powers only.
[ "1", "2", "12", "232", "7952", "405152", "31111872", "3115956352", "414147567872", "68413355397632", "13936708915940352", "3412444856961083392", "987956358173680013312", "334650367409781717573632", "130572314003924554412900352", "58337032599905770133366013952" ]
[ "nonn" ]
15
0
2
null
null
R. H. Hardin
2014-01-27T09:12:48
oeisdata/seq/A009/A009272.seq
4da14446ba12b527edaaca81557d46c9
A009273
Expansion of e.g.f. exp(x*tanh(x)) (even powers only).
[ "1", "2", "4", "-24", "400", "-5600", "-103872", "26975872", "-3438685952", "417995260416", "-51382607559680", "5994623640856576", "-454930757753597952", "-94991612229069430784", "81515752167646959124480", "-41079088828539119883878400", "18870487103065970636941754368", "-8553231336572387307575081566208" ]
[ "sign" ]
30
0
2
[ "A009273", "A354245", "A354399" ]
null
R. H. Hardin
2025-04-02T17:32:46
oeisdata/seq/A009/A009273.seq
69c011770b470b2fa684a46e5e5e20f6
A009274
E.g.f.: exp(tanh(x)/cos(x)).
[ "1", "1", "1", "2", "5", "32", "157", "688", "3817", "29952", "257049", "1922560", "15886125", "160364544", "1844058101", "19815696384", "218349214545", "2743045259264", "38729647296945", "538516252917760", "7468216325125589", "112957538226929664", "1882371895493492429" ]
[ "nonn" ]
15
0
4
null
null
R. H. Hardin
2012-08-25T14:29:19
oeisdata/seq/A009/A009274.seq
a02ccbb4c58914761d08099e8cfda840
A009275
Expansion of exp(tanh(x)/cosh(x)).
[ "1", "1", "1", "-4", "-19", "12", "517", "1472", "-18023", "-159792", "587529", "16362304", "19183749", "-1834702400", "-12219870323", "218477736448", "3379214470193", "-23399883425536", "-883981857320943", "225490426670080", "238930492488456221" ]
[ "sign", "easy" ]
11
0
4
null
null
R. H. Hardin
2017-04-01T13:57:26
oeisdata/seq/A009/A009275.seq
c82ebccc4d2531ec97b7e01a8f076616
A009276
E..g.f. exp(tanh(x)/exp(x)).
[ "1", "1", "-1", "-4", "9", "52", "-175", "-1370", "5985", "60216", "-320063", "-3929550", "24549745", "354693796", "-2543955167", "-42233123938", "341610526145", "6404634620016", "-57626692351871", "-1203767371104790", "11918048043239377", "274395314816604636" ]
[ "sign", "easy" ]
16
0
4
null
null
R. H. Hardin
2017-04-01T13:58:40
oeisdata/seq/A009/A009276.seq
d521db6251d9328c66be43fbe518ca5a
A009277
E.g.f. exp(tanh(x)^2) (even powers only).
[ "1", "2", "-4", "-88", "4496", "-155488", "675776", "903834752", "-178181918464", "26154843525632", "-2632795710260224", "-207121926659381248", "274561534481040183296", "-132684091405061956722688", "50873850498309673207709696" ]
[ "sign" ]
29
0
2
[ "A000182", "A009277", "A354425" ]
null
R. H. Hardin
2023-04-08T15:02:06
oeisdata/seq/A009/A009277.seq
be3aec744e66c52e5c44341d0d56adac
A009278
a(n) = lcm(d(n), sigma(n)).
[ "1", "6", "4", "21", "6", "12", "8", "60", "39", "36", "12", "84", "14", "24", "24", "155", "18", "78", "20", "42", "32", "36", "24", "120", "93", "84", "40", "168", "30", "72", "32", "126", "48", "108", "48", "819", "38", "60", "56", "360", "42", "96", "44", "84", "78", "72", "48", "620", "57", "186", "72", "294", "54", "120", "72", "120", "80", "180", "60", "168", "62", "96", "312", "889", "84", "144", "68" ]
[ "nonn" ]
18
1
2
[ "A000005", "A000203", "A009205", "A009278", "A009286", "A064840" ]
null
David W. Wilson
2025-01-31T03:57:25
oeisdata/seq/A009/A009278.seq
64f1ead7264f7b4af2de474ea23e1cf4
A009279
a(n) = lcm(d(n), phi(n)).
[ "1", "2", "2", "6", "4", "4", "6", "4", "6", "4", "10", "12", "12", "12", "8", "40", "16", "6", "18", "24", "12", "20", "22", "8", "60", "12", "36", "12", "28", "8", "30", "48", "20", "16", "24", "36", "36", "36", "24", "16", "40", "24", "42", "60", "24", "44", "46", "80", "42", "60", "32", "24", "52", "72", "40", "24", "36", "28", "58", "48", "60", "60", "36", "224", "48", "40", "66", "96", "44", "24", "70", "24", "72", "36", "120" ]
[ "nonn" ]
8
1
2
null
null
David W. Wilson
2018-04-01T18:11:45
oeisdata/seq/A009/A009279.seq
e497980c9813da624622402516132136
A009280
Expansion of exp(x)*cos(log(1+x)).
[ "1", "1", "0", "1", "-3", "11", "-54", "295", "-1859", "13057", "-100804", "840841", "-7439935", "68148731", "-620549058", "5116464431", "-25440998439", "-377177742815", "19125593995896", "-562210227462223", "14622324046506341", "-367386349871225269" ]
[ "sign", "easy" ]
11
0
5
null
null
R. H. Hardin
2015-06-21T21:50:23
oeisdata/seq/A009/A009280.seq
f95cf7eefb4fac2b25aa6f72375645c9
A009281
Expansion of e.g.f. exp(x)*cosh(log(1+x)).
[ "1", "1", "2", "1", "7", "-19", "136", "-923", "7421", "-66743", "667486", "-7342279", "88107427", "-1145396459", "16035550532", "-240533257859", "3848532125881", "-65425046139823", "1177650830516986", "-22375365779822543", "447507315596451071", "-9397653627525472259", "206748379805560389952", "-4755212735527888968619", "114125105652669335247157" ]
[ "sign", "easy" ]
24
0
3
[ "A000387", "A009281" ]
null
R. H. Hardin
2024-01-05T07:56:36
oeisdata/seq/A009/A009281.seq
f0ea94a3159be47b51c8d47cef7c9e63
A009282
Expansion of e.g.f.: exp(x + sin(x)).
[ "1", "2", "4", "7", "8", "-7", "-74", "-209", "-40", "2441", "10954", "6667", "-185524", "-1041739", "-510530", "26716831", "158378768", "-47260303", "-6226501934", "-34323431789", "71521515284", "2087815263725", "9437342779558", "-55046954388953", "-923175950185960", "-2736047549718871", "43387645616657338" ]
[ "sign", "easy" ]
23
0
2
[ "A002017", "A009209", "A009282", "A009283" ]
null
R. H. Hardin
2022-09-03T22:53:00
oeisdata/seq/A009/A009282.seq
3cfd5b133afee966c47761f1f53d358c
A009283
E.g.f.: exp(x + sinh(x)).
[ "1", "2", "4", "9", "24", "73", "246", "913", "3688", "16057", "74954", "372749", "1965156", "10942285", "64103006", "393902353", "2532010800", "16982676561", "118600412626", "860680689429", "6478753957948", "50505684285301", "407133297257542", "3389160344023385", "29098108436107592", "257364794368638009" ]
[ "nonn", "easy" ]
24
0
2
[ "A003724", "A009227", "A009282", "A009283" ]
null
R. H. Hardin
2022-12-16T12:13:39
oeisdata/seq/A009/A009283.seq
8278c5677abbeef778637d87149137c3
A009284
E.g.f.: exp(x + tan(x)).
[ "1", "2", "4", "10", "32", "128", "616", "3424", "21632", "152000", "1179904", "9986560", "91734656", "906835712", "9609378304", "108540031744", "1302286401536", "16533214773248", "221420625719296", "3119382193635328", "46106240358318080", "713450250644701184", "11531738694322683904", "194362558120600797184" ]
[ "nonn", "easy" ]
13
0
2
null
null
R. H. Hardin
2014-01-27T09:12:48
oeisdata/seq/A009/A009284.seq
4ecfbaa3e889a28a4ab28a0614b2834a
A009285
E.g.f.: exp(x + tanh(x)).
[ "1", "2", "4", "6", "0", "-32", "-24", "640", "2176", "-16832", "-138496", "521216", "10367616", "-8750336", "-942458368", "-2101041920", "102567493632", "621205094400", "-12985904205824", "-148249466093568", "1832574587011072", "36650477053591552", "-266274589196877824", "-9888178289857134592", "31088700594998902784" ]
[ "sign", "easy" ]
15
0
2
null
null
R. H. Hardin
2020-08-09T18:05:13
oeisdata/seq/A009/A009285.seq
735cdf6728bb4e7c0cfc44f353520e73
A009286
a(n) = lcm(sigma(n), phi(n)).
[ "1", "3", "4", "14", "12", "12", "24", "60", "78", "36", "60", "28", "84", "24", "24", "248", "144", "78", "180", "168", "96", "180", "264", "120", "620", "84", "360", "168", "420", "72", "480", "1008", "240", "432", "48", "1092", "684", "180", "168", "720", "840", "96", "924", "420", "312", "792", "1104", "496", "798", "1860", "288", "1176", "1404", "360", "360", "120", "720", "1260" ]
[ "nonn" ]
15
1
2
[ "A000010", "A000203", "A009223", "A009286", "A062354", "A084921" ]
null
David W. Wilson
2017-05-26T16:12:28
oeisdata/seq/A009/A009286.seq
b54f6ffd7e26b246abcb9bd9cedb6b30
A009287
a(1) = 3; thereafter a(n+1) = least k with a(n) divisors.
[ "3", "4", "6", "12", "60", "5040", "293318625600", "670059168204585168371476438927421112933837297640990904154667968000000000000" ]
[ "nonn" ]
49
1
1
[ "A000005", "A005179", "A009287", "A037019", "A251483" ]
null
David W. Wilson and James Kilfiger (jamesk(AT)maths.warwick.ac.uk)
2023-09-03T13:35:18
oeisdata/seq/A009/A009287.seq
fa9d2e4e588c76e985da3107a23d29ff
A009288
Expansion of exp(x)/cos(log(1+x)).
[ "1", "1", "2", "1", "11", "-39", "356", "-3023", "30841", "-349979", "4422846", "-61445339", "931259427", "-15288729819", "270290509256", "-5119527465219", "103428161877041", "-2220041987184023", "50453882091213146", "-1210316349687219159" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2015-06-21T21:50:04
oeisdata/seq/A009/A009288.seq
85d06bf4ecb71ce23df89b47b63eaa47
A009289
Expansion of exp(x)/cos(sin(x)).
[ "1", "1", "2", "4", "8", "16", "8", "-104", "-960", "-5504", "-22400", "-69376", "251008", "5144192", "53882624", "431779328", "2088660992", "3270959104", "-173107810304", "-2994808352768", "-34807275798528", "-327470564016128", "-1238452597522432", "13424788329791488" ]
[ "sign", "easy" ]
11
0
3
null
null
R. H. Hardin
2017-04-01T13:55:25
oeisdata/seq/A009/A009289.seq
2e90dd649277b38315b63cc46f639d8b
A009290
Expansion of exp(x)/cos(sinh(x)).
[ "1", "1", "2", "4", "16", "56", "328", "1576", "12160", "74944", "721280", "5428864", "62638720", "556999808", "7495723264", "76901598208", "1182630301696", "13750425100288", "237887012458496", "3091282934198272", "59422015832915968", "853453694386847744" ]
[ "nonn", "easy" ]
11
0
3
null
null
R. H. Hardin
2015-01-22T13:22:15
oeisdata/seq/A009/A009290.seq
9b1fc718e0b5b4566f41d3ef6574fe9a
A009291
Expansion of exp(x)/cos(tan(x)).
[ "1", "1", "2", "4", "20", "76", "608", "3256", "34320", "235408", "3084640", "25823744", "405224896", "4007103296", "73292662784", "836059707008", "17468683774208", "225808591264000", "5306511481924096", "76659294873275392", "2001393333656871936" ]
[ "nonn", "easy" ]
12
0
3
null
null
R. H. Hardin
2015-01-23T17:19:53
oeisdata/seq/A009/A009291.seq
b443b7c73b8b12c72b98b4028fafaf28
A009292
Expansion of exp(x)/cos(tanh(x)).
[ "1", "1", "2", "4", "4", "-4", "-32", "-104", "400", "5392", "3680", "-167936", "-719168", "1592384", "45313024", "401669248", "-1201882880", "-50456008448", "-190738937344", "2742470413312", "41876315935744", "310319594802176", "-3729103532367872", "-116183782320392192" ]
[ "sign", "easy" ]
13
0
3
null
null
R. H. Hardin
2019-03-23T11:39:53
oeisdata/seq/A009/A009292.seq
9103617bb523492f23e6a0fa2a25be5c
A009293
If a, b in sequence, so is a*b+1.
[ "2", "5", "11", "23", "26", "47", "53", "56", "95", "107", "113", "116", "122", "131", "191", "215", "227", "233", "236", "245", "254", "263", "266", "281", "287", "383", "431", "455", "467", "473", "476", "491", "509", "518", "527", "530", "533", "536", "563", "566", "575", "581", "584", "599", "611", "617", "656", "677", "767", "863", "911", "935", "947", "953", "956", "983" ]
[ "nonn" ]
18
1
1
[ "A009293", "A009299", "A009388", "A192476" ]
null
David W. Wilson
2018-07-23T11:48:35
oeisdata/seq/A009/A009293.seq
645a80d0831ef89c7b4b347a2d551399
A009294
Expansion of e.g.f.: exp(x)/cosh(log(1+x)).
[ "1", "1", "0", "1", "1", "-9", "46", "-125", "-279", "7021", "-57644", "247941", "829225", "-30119309", "346210866", "-2030635529", "-9055135439", "430103734425", "-6356431497464", "47224459865161", "263232787214961", "-15445025103197969", "278983778423699350" ]
[ "sign", "easy" ]
21
0
6
null
null
R. H. Hardin
2015-01-24T04:54:53
oeisdata/seq/A009/A009294.seq
d1884f4b6bcf0fd4ec937184821831fa
A009295
Expansion of e.g.f.: exp(x)/cosh(sin(x)).
[ "1", "1", "0", "-2", "4", "36", "-56", "-944", "2192", "45136", "-128448", "-3263072", "11141824", "334656960", "-1332816512", "-46199442176", "210250492160", "8260388524288", "-42290401757184", "-1857027989588480", "10563624419906560", "512693973356712960" ]
[ "sign", "easy" ]
15
0
4
null
null
R. H. Hardin
2014-02-09T04:05:05
oeisdata/seq/A009/A009295.seq
d4e04711d00437b1e82d0cc009b803c1
A009296
Expansion of exp(x)/cosh(sinh(x)).
[ "1", "1", "0", "-2", "-4", "-4", "24", "176", "272", "-1712", "-14528", "-66912", "181312", "4737344", "20265088", "-53926656", "-1771263744", "-18559434496", "4388386816", "1869838374400", "16325400792064", "35429689535488", "-1796402984175616", "-36301265658269696" ]
[ "sign", "easy" ]
17
0
4
null
null
R. H. Hardin
2017-04-01T13:59:48
oeisdata/seq/A009/A009296.seq
80110a6ab83d0c90010e13ce810d7413
A009297
Expansion of exp(x)/cosh(tan(x)).
[ "1", "1", "0", "-2", "-8", "-24", "-56", "-104", "512", "5824", "54912", "385408", "2590336", "15920256", "69311488", "160063744", "-3936710656", "-67251703808", "-914002857984", "-9821117788160", "-81770855727104", "-551206277726208", "2175764106870784", "106679023552528384" ]
[ "sign", "easy" ]
19
0
4
[ "A009107", "A009297" ]
null
R. H. Hardin
2014-04-09T04:27:15
oeisdata/seq/A009/A009297.seq
ffde31475607bf4a90598b3e78958125
A009298
Expansion of e.g.f.: exp(x)/cosh(tanh(x)).
[ "1", "1", "0", "-2", "8", "56", "-216", "-2344", "12032", "168640", "-1075328", "-18467712", "140944000", "2863703168", "-25464568832", "-597301399296", "6065774456832", "161295676067840", "-1842040163078144", "-54752864215838720", "694620312112857088" ]
[ "sign", "easy" ]
13
0
4
null
null
R. H. Hardin
2014-02-09T04:05:00
oeisdata/seq/A009/A009298.seq
a0876e40dc24674c0dd32ae995089d93
A009299
If a, b in sequence, so is a*b+2.
[ "2", "6", "14", "30", "38", "62", "78", "86", "126", "158", "174", "182", "198", "230", "254", "318", "350", "366", "374", "398", "422", "462", "470", "510", "518", "534", "638", "702", "734", "750", "758", "798", "846", "870", "902", "926", "942", "950", "1022", "1038", "1046", "1070", "1094", "1142", "1190", "1206", "1278", "1382", "1406", "1446", "1470", "1502" ]
[ "nonn" ]
11
1
1
[ "A009293", "A009299", "A192476" ]
null
David W. Wilson
2013-07-13T12:01:47
oeisdata/seq/A009/A009299.seq
cc0f86bbce4c884cdb1b2210feede707
A009300
Expansion of exp(x/cos(x)).
[ "1", "1", "1", "4", "13", "56", "301", "1688", "11705", "84160", "698521", "6141312", "59340997", "613282944", "6782462597", "80158806016", "1000434618609", "13267800137728", "184576848771889", "2710082835353600", "41577074746699261", "669033814167273472" ]
[ "nonn", "easy" ]
21
0
4
null
null
R. H. Hardin
2018-01-27T06:29:00
oeisdata/seq/A009/A009300.seq
f3128a09791ae277bab96db5901cff57