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timestamp[us]date 1999-12-11 03:00:00
2025-07-14 02:38:35
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---|---|---|---|---|---|---|---|---|---|---|---|---|
A009701 | Expansion of e.g.f. tan(tan(x))/cos(x), odd powers only. | [
"1",
"7",
"137",
"5535",
"386481",
"41604055",
"6390472441",
"1326107352879",
"357130810766305",
"121056393177867303",
"50420813008501457897",
"25307979564532627724095",
"15065045963101006722139793"
]
| [
"nonn"
]
| 25 | 0 | 2 | null | null | R. H. Hardin | 2014-04-20T09:25:13 | oeisdata/seq/A009/A009701.seq | 91c69b3ff680ced3f71af5ca431ef0f1 |
A009702 | Expansion of tan(tan(x))/cosh(x) (odd powers only). | [
"1",
"1",
"57",
"1657",
"136977",
"14004945",
"2219125001",
"457176874377",
"123849671844513",
"41945147421378337",
"17490738249607542873",
"8778749876346904238105",
"5226971507061600220653233",
"3640737476966979742943568113"
]
| [
"nonn"
]
| 11 | 1 | 3 | null | null | R. H. Hardin | 2015-01-23T14:41:52 | oeisdata/seq/A009/A009702.seq | ca70c66698352fbfcfb239b3188a7082 |
A009703 | Expansion of tan(tan(x)*cosh(x)). | [
"1",
"7",
"157",
"8979",
"886713",
"134445023",
"29022793685",
"8445323514091",
"3184918775268209",
"1510646771277811895",
"880054493816590384397",
"617711163636251375413699",
"514133191574202261159610153"
]
| [
"nonn"
]
| 12 | 0 | 2 | null | null | R. H. Hardin | 2021-06-06T11:25:53 | oeisdata/seq/A009/A009703.seq | e061349a647cda606eaf55a8cb827526 |
A009704 | Expansion of tan(tan(x).exp(x)). | [
"0",
"1",
"2",
"7",
"36",
"277",
"2422",
"24939",
"292488",
"3893577",
"57581162",
"937884143",
"16663799724",
"320906530973",
"6656135961438",
"147944310556051",
"3507720648511504",
"88369892016844561",
"2357319985504634066"
]
| [
"nonn",
"easy"
]
| 8 | 0 | 3 | null | null | R. H. Hardin | 2014-01-27T09:13:00 | oeisdata/seq/A009/A009704.seq | a357c853837b270554ca3744d971fe9f |
A009705 | E.g.f. tan(tan(x)*sin(x)), even powers only. | [
"0",
"2",
"4",
"302",
"8104",
"947642",
"86855404",
"16203909542",
"3130092938704",
"896924477276402",
"290713861720990804",
"121467176505314129822",
"58492863120535523766904",
"33925794100542844193202602"
]
| [
"nonn"
]
| 16 | 0 | 2 | null | null | R. H. Hardin | 2014-01-27T09:13:00 | oeisdata/seq/A009/A009705.seq | 6bb753336f6b2776dae2878ac4218d1e |
A009706 | tan(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+382/6!*x^6+23352/8!*x^8... | [
"0",
"2",
"12",
"382",
"23352",
"2223002",
"318236292",
"63069898582",
"16506522005232",
"5516152886719922",
"2290713333669640572",
"1156963264109505327022",
"698325697094916345135912",
"496389417580098665436907082"
]
| [
"nonn"
]
| 12 | 0 | 2 | null | null | R. H. Hardin | 2017-05-22T10:40:52 | oeisdata/seq/A009/A009706.seq | 0d3ff2ee414b02dd23dd58efd1ea8280 |
A009707 | Expansion of e.g.f. tan(tan(x)*x) (even powers only). | [
"0",
"2",
"8",
"336",
"15616",
"1450240",
"185032704",
"33566984192",
"7971973332992",
"2424984197529600",
"915532582868746240",
"420569934453637906432",
"230845747512083447021568",
"149228982402223336708898816"
]
| [
"nonn"
]
| 17 | 0 | 2 | [
"A000182",
"A003718",
"A009707",
"A009752",
"A024265"
]
| null | R. H. Hardin | 2017-12-21T17:37:07 | oeisdata/seq/A009/A009707.seq | 770672f64423604166270416148934cd |
A009708 | Expansion of tan(tan(x)/cos(x)). | [
"1",
"7",
"177",
"10519",
"1108833",
"180134183",
"41643888145",
"12982974409271",
"5247381641852609",
"2667871676330509895",
"1666128949779524612977",
"1253728661849677130856279",
"1118729647152655182634160673"
]
| [
"nonn"
]
| 15 | 0 | 2 | null | null | R. H. Hardin | 2022-08-28T23:15:42 | oeisdata/seq/A009/A009708.seq | e330ced62d381801d08ee55cd268527a |
A009709 | E.g.f. tan(tan(x)/cosh(x)), odd powers only. | [
"1",
"1",
"17",
"593",
"19425",
"1598177",
"158823537",
"20206883505",
"3739345763009",
"800168319488705",
"218377697922437073",
"71589148444259595281",
"27561852243967184213153",
"12547454880768646146119585"
]
| [
"nonn"
]
| 22 | 1 | 3 | null | null | R. H. Hardin | 2014-01-27T09:13:00 | oeisdata/seq/A009/A009709.seq | 22b0f6798618e5eb3b1093d720a006fb |
A009710 | E.g.f. tan(tan(x)^2) (even powers only). | [
"0",
"2",
"16",
"512",
"34816",
"3821312",
"618121216",
"138682959872",
"41171702972416",
"15610723195092992",
"7357121913006063616",
"4217775794187229724672",
"2889975739296119171055616",
"2332177121915783600628826112",
"2189206131249303252650023714816",
"2365042784256046151642765393395712"
]
| [
"nonn"
]
| 26 | 0 | 2 | [
"A009710",
"A024290"
]
| null | R. H. Hardin | 2025-01-04T14:51:10 | oeisdata/seq/A009/A009710.seq | 89e05fea7433644f8e19b885464f0ee3 |
A009711 | Expansion of e.g.f.: tan(tanh(log(1+x))). | [
"0",
"1",
"-1",
"2",
"-6",
"16",
"0",
"-568",
"7504",
"-78248",
"739080",
"-6314848",
"44072688",
"-125928464",
"-3754236304",
"114500663552",
"-2264653307520",
"37495468333696",
"-536284797406848",
"6159440282136320",
"-34551694794080000",
"-931439976890484224"
]
| [
"sign",
"easy"
]
| 12 | 0 | 4 | null | null | R. H. Hardin | 2020-08-30T15:27:32 | oeisdata/seq/A009/A009711.seq | 3c2445aff1831bc050db9d5f00dfe4ec |
A009712 | Expansion of tan(tanh(sin(x))). | [
"1",
"-1",
"-7",
"391",
"-17263",
"680239",
"1450569",
"-7957325193",
"2085950965153",
"-451440698199841",
"87302333394141977",
"-12244874410272223257",
"-1227047210877649641679",
"2438662572717698729224975"
]
| [
"sign"
]
| 14 | 0 | 3 | null | null | R. H. Hardin | 2017-04-02T12:12:00 | oeisdata/seq/A009/A009712.seq | 8638c17bba9ffcda157d60ba5d9970cf |
A009713 | Expansion of tan(tanh(tan(x))). | [
"1",
"2",
"8",
"-176",
"-16384",
"-969728",
"-32455680",
"4303626240",
"1468506210304",
"269552004300800",
"24649152071991296",
"-7396863878894714880",
"-5630959968640999358464",
"-2114449853843696991076352"
]
| [
"sign"
]
| 13 | 0 | 2 | null | null | R. H. Hardin | 2017-04-02T12:12:28 | oeisdata/seq/A009/A009713.seq | 61aa7cc4f4e9acbdcb4a2a7441ffb68b |
A009714 | a(n) = Product_{i=0..8} floor((n+i)/9). | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"2",
"4",
"8",
"16",
"32",
"64",
"128",
"256",
"512",
"768",
"1152",
"1728",
"2592",
"3888",
"5832",
"8748",
"13122",
"19683",
"26244",
"34992",
"46656",
"62208",
"82944",
"110592",
"147456",
"196608",
"262144",
"327680",
"409600",
"512000",
"640000",
"800000",
"1000000",
"1250000",
"1562500"
]
| [
"nonn",
"easy"
]
| 42 | 0 | 11 | [
"A001017",
"A002620",
"A006501",
"A008233",
"A008382",
"A008881",
"A009641",
"A009694",
"A009714",
"A013667",
"A354600"
]
| null | N. J. A. Sloane | 2024-08-21T12:26:49 | oeisdata/seq/A009/A009714.seq | 19d62da74529c141a4c78d845b8434b2 |
A009715 | Expansion of tan(tanh(x))*cos(x). | [
"1",
"-3",
"-3",
"273",
"-5159",
"-62139",
"16414101",
"-1357293927",
"59192332081",
"5204089208589",
"-1943937262679379",
"331586038355507361",
"-32236263434125968887",
"-1484274347735103183531",
"1139055571050751311941445"
]
| [
"sign"
]
| 12 | 0 | 2 | null | null | R. H. Hardin | 2017-04-02T12:13:02 | oeisdata/seq/A009/A009715.seq | dd34dfb7194c1bcd58d0b4fcb46e2204 |
A009716 | Expansion of e.g.f. tan(tanh(x))*exp(x). | [
"0",
"1",
"2",
"3",
"4",
"-3",
"-42",
"-49",
"456",
"2905",
"10154",
"-83589",
"-1263668",
"-334059",
"74121726",
"351159815",
"-1582556016",
"-39776495567",
"-396499390126",
"2339943411315",
"87145255604884",
"181395497796525",
"-10528569148387290",
"-87834301596283969"
]
| [
"sign",
"easy"
]
| 14 | 0 | 3 | null | null | R. H. Hardin | 2014-02-09T08:38:46 | oeisdata/seq/A009/A009716.seq | 0a5688b43119174609d221767896ab66 |
A009717 | Expansion of e.g.f. tan(tanh(x))*sin(x) (even powers only). | [
"0",
"2",
"-4",
"-42",
"1336",
"-16726",
"-1194700",
"153304830",
"-10698400400",
"188012481362",
"107922523124588",
"-26275693823306202",
"3726087789656495272",
"-203071274271083537926",
"-64313415452872137435484"
]
| [
"sign"
]
| 19 | 0 | 2 | null | null | R. H. Hardin | 2025-03-10T04:50:46 | oeisdata/seq/A009/A009717.seq | b2c844f457cc99b63a1b00b1c36d7099 |
A009718 | Expansion of tan(tanh(x))*x. | [
"0",
"2",
"0",
"-48",
"896",
"-1280",
"-1317888",
"113985536",
"-5662048256",
"-173996310528",
"103038851481600",
"-18151624725757952",
"1834297840675848192",
"53334014587534573568",
"-66117477689491873333248"
]
| [
"sign"
]
| 11 | 0 | 2 | null | null | R. H. Hardin | 2017-04-02T12:10:28 | oeisdata/seq/A009/A009718.seq | f645eb46829dab4bde217b009f78574b |
A009719 | Expansion of tan(tanh(x))/cos(x). | [
"1",
"3",
"17",
"371",
"11329",
"398211",
"31717649",
"2487281075",
"257775723265",
"40422383525763",
"6249491749613201",
"1324448178268807283",
"327217658581539104833",
"91010297536273890164739",
"29953128179590939779490961",
"11561544419017955546723388851"
]
| [
"nonn"
]
| 12 | 0 | 2 | null | null | R. H. Hardin | 2014-01-27T09:13:00 | oeisdata/seq/A009/A009719.seq | f1db9be5625e41868591d1ebca8e778f |
A009720 | Expansion of tan(tanh(x)*cos(x)). | [
"1",
"-3",
"-43",
"2009",
"6313",
"-9872907",
"760322045",
"105243758801",
"-41122814903471",
"1873399639193325",
"3032918686052577317",
"-1060046322104258754871",
"-196239553045718536023047",
"335369132729230015620066021"
]
| [
"sign"
]
| 14 | 0 | 2 | null | null | R. H. Hardin | 2020-03-20T18:48:11 | oeisdata/seq/A009/A009720.seq | 11c84f2a2b9c31abf49621ebbf924b77 |
A009721 | Expansion of e.g.f.: tan(tanh(x)*exp(x)). | [
"0",
"1",
"2",
"3",
"20",
"157",
"902",
"6895",
"77352",
"837145",
"9239882",
"124480059",
"1864519868",
"28461793141",
"470175087566",
"8596601614567",
"165789417707088",
"3347308657310641",
"72262366126097810",
"1655981959056540147",
"39676337445225379172",
"996780437366905850317"
]
| [
"nonn",
"easy"
]
| 12 | 0 | 3 | null | null | R. H. Hardin | 2016-09-26T11:38:18 | oeisdata/seq/A009/A009721.seq | b30e2e4592accdbcf3d489392b16a497 |
A009722 | Expansion of tan(tanh(x)*tan(x))/2. | [
"1",
"176",
"570496",
"9223556096",
"460993706622976",
"55266063875773300736",
"13556412676746128524312576",
"6098119622978353294582319415296",
"4642750780653941150969313976486199296"
]
| [
"nonn"
]
| 12 | 0 | 2 | [
"A009722",
"A012669"
]
| null | R. H. Hardin | 2017-10-24T18:15:35 | oeisdata/seq/A009/A009722.seq | 5a33b4e92a9e2f9d7b193b781e77c9c3 |
A009723 | Expansion of tan(tanh(x)/cos(x)). | [
"1",
"3",
"57",
"1995",
"128881",
"12775059",
"1796958633",
"342118793307",
"84276974508769",
"26141579246291235",
"9956883572644073241",
"4570240365824839488747",
"2487549038143714062879313",
"1584207614996350912703688627"
]
| [
"nonn"
]
| 14 | 0 | 2 | null | null | R. H. Hardin | 2024-11-28T03:31:54 | oeisdata/seq/A009/A009723.seq | d163d6e7fbb22100bd21c9dfdafea3aa |
A009724 | Denominators of Taylor series for 1/(sin x + tan x). | [
"2",
"24",
"720",
"120960",
"1209600",
"95800320",
"1307674368000",
"597793996800",
"10670622842880000",
"10218188434341888000",
"802857662698291200000",
"56404400157567221760000",
"1693824136731743669452800000"
]
| [
"nonn",
"frac",
"changed"
]
| 5 | 0 | 1 | [
"A008961",
"A009724"
]
| null | N. J. A. Sloane | 2025-07-08T01:26:09 | oeisdata/seq/A009/A009724.seq | 695efe9412fc522fb4a3b7a15759882a |
A009725 | Expansion of e.g.f.: tan(x)*(1+x). | [
"0",
"1",
"2",
"2",
"8",
"16",
"96",
"272",
"2176",
"7936",
"79360",
"353792",
"4245504",
"22368256",
"313155584",
"1903757312",
"30460116992",
"209865342976",
"3777576173568",
"29088885112832",
"581777702256640",
"4951498053124096",
"108932957168730112",
"1015423886506852352",
"24370173276164456448"
]
| [
"nonn",
"easy"
]
| 15 | 0 | 3 | [
"A000182",
"A009725",
"A009752"
]
| null | R. H. Hardin | 2020-10-29T17:30:02 | oeisdata/seq/A009/A009725.seq | e5e1688eadc0653d2123bf5c7f150e3a |
A009726 | Expansion of tan(x)*cos(log(1+x)). | [
"0",
"1",
"0",
"-1",
"12",
"-54",
"360",
"-2094",
"15568",
"-113516",
"979200",
"-8587668",
"84989520",
"-863430840",
"9562970144",
"-108058865368",
"1285366485120",
"-15130564865136",
"174638241040896",
"-1701739763904144",
"7392841627579840",
"326394843481495456"
]
| [
"sign",
"easy"
]
| 13 | 0 | 5 | null | null | R. H. Hardin | 2015-06-22T22:51:23 | oeisdata/seq/A009/A009726.seq | 1d132073cc93669598a07e30472b7eaa |
A009727 | Expansion of tan(x)*cos(sin(x)). | [
"1",
"-1",
"21",
"27",
"6121",
"153559",
"13064637",
"996722035",
"114653539281",
"15657589156655",
"2678537704263781",
"548432789294290763",
"133426766351448919481",
"37955932970963263679495",
"12491453691407386059683341"
]
| [
"sign"
]
| 12 | 0 | 3 | null | null | R. H. Hardin | 2017-04-02T12:06:53 | oeisdata/seq/A009/A009727.seq | 327f2e5ad10534dc1b0a87bbd1051f6d |
A009728 | Expansion of tan(x)*cos(sinh(x)). | [
"1",
"-1",
"-19",
"-253",
"-5447",
"-225721",
"-14615899",
"-1266041845",
"-140130487823",
"-19419956236657",
"-3304321034706211",
"-677542297845085165",
"-164755897732586842199",
"-46874838119958767992105"
]
| [
"sign"
]
| 12 | 0 | 3 | null | null | R. H. Hardin | 2017-04-02T12:14:25 | oeisdata/seq/A009/A009728.seq | cbbcb6b404f93feb36cd950c90a09200 |
A009729 | Expansion of tan(x)*cos(tan(x)). | [
"1",
"-1",
"-39",
"-1233",
"-50831",
"-2696321",
"-173033847",
"-12037460945",
"-631883857695",
"72323545938047",
"51175586766916153",
"20871009809650906031",
"8144386597628284974161",
"3320626270273875548979455"
]
| [
"sign"
]
| 12 | 0 | 3 | null | null | R. H. Hardin | 2017-04-02T12:08:01 | oeisdata/seq/A009/A009729.seq | 3993c8311f72375fab323e3c53a6bde7 |
A009730 | Expansion of tan(x)*cos(tanh(x)). | [
"1",
"-1",
"41",
"-673",
"41425",
"-2148961",
"225227705",
"-23880701185",
"3905967813793",
"-689701934465089",
"163751563593866057",
"-42927084558629732833",
"14006383316589639761521",
"-5072190213708628462141345"
]
| [
"sign"
]
| 12 | 0 | 3 | null | null | R. H. Hardin | 2017-04-02T12:07:15 | oeisdata/seq/A009/A009730.seq | b9aacea8476fb64b0932758316e5d206 |
A009731 | Expansion of tan(x)*cosh(log(1+x)). | [
"0",
"1",
"0",
"5",
"-12",
"96",
"-480",
"3968",
"-29568",
"283840",
"-2759040",
"31139712",
"-369431040",
"4852567552",
"-67622790144",
"1018594276352",
"-16267048304640",
"277008597516288",
"-4982377179119616",
"94730142262034432",
"-1894021067538432000"
]
| [
"sign",
"easy"
]
| 16 | 0 | 4 | null | null | R. H. Hardin | 2018-05-05T15:27:12 | oeisdata/seq/A009/A009731.seq | 71b0889da00e95c931f886a865436705 |
A009732 | Expansion of tan(x)*cosh(sin(x)) (odd powers only). | [
"1",
"5",
"21",
"377",
"13129",
"537965",
"34399197",
"2946509729",
"323564702737",
"44888950379477",
"7640931012615717",
"1566846818139059657",
"381021443277747203161",
"108403869650402266171709"
]
| [
"nonn"
]
| 12 | 1 | 2 | null | null | R. H. Hardin | 2015-01-23T14:55:43 | oeisdata/seq/A009/A009732.seq | 19923eeee6b9cedb338140fa381436e4 |
A009733 | Expansion of tan(x)*cosh(tan(x)). | [
"1",
"5",
"81",
"2477",
"120481",
"8496245",
"817734321",
"102873611549",
"16372688411713",
"3213260867586149",
"761792907575450385",
"214507625428065409805",
"70732793117238811066081",
"26987583518243293948764629"
]
| [
"nonn"
]
| 22 | 0 | 2 | null | null | R. H. Hardin | 2017-03-19T00:58:31 | oeisdata/seq/A009/A009733.seq | 55855cf877782e5924e8c495aa503173 |
A009734 | Days in a one-month gym membership starting at n-th day of year [ days from Jan 01 to Feb 01, Jan 02 to Feb 02, ... ]. | [
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"31",
"30",
"29",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28",
"28"
]
| [
"nonn"
]
| 6 | 1 | 1 | null | null | N. J. A. Sloane | 2021-12-27T21:36:11 | oeisdata/seq/A009/A009734.seq | 11e2550b02afd7692284588102f55f8c |
A009735 | Expansion of tan(x)*exp(sin(x)). | [
"0",
"1",
"2",
"5",
"8",
"21",
"48",
"377",
"1728",
"13129",
"61184",
"537965",
"3107840",
"34399197",
"235484928",
"2946509729",
"22794670080",
"323564702737",
"2824580218880",
"44888950379477",
"435346731352064",
"7640931012615717",
"81496599519363072"
]
| [
"nonn",
"easy"
]
| 12 | 0 | 3 | null | null | R. H. Hardin | 2015-01-23T14:59:30 | oeisdata/seq/A009/A009735.seq | 346b7fa74bcd14c80eb64a60a148c853 |
A009736 | Expansion of e.g.f.: tan(x)*exp(sinh(x)). | [
"0",
"1",
"2",
"5",
"16",
"61",
"248",
"1217",
"6336",
"38137",
"242464",
"1753245",
"13219328",
"112141173",
"982066816",
"9583252569",
"95757641728",
"1057866255601",
"11884764271104",
"146689651631285",
"1830773338714112",
"24972471277262509"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 3 | null | null | R. H. Hardin | 2018-12-30T14:50:51 | oeisdata/seq/A009/A009736.seq | e7813a7b32060bd17e0ba1b32502cb3e |
A009737 | Expansion of e.g.f. tan(x)*exp(tan(x)). | [
"0",
"1",
"2",
"5",
"20",
"81",
"438",
"2477",
"16680",
"120481",
"973034",
"8496245",
"80252732",
"817734321",
"8859646110",
"102873611549",
"1258403748432",
"16372688411713",
"223202277906386",
"3213260867586149",
"48295209177888356",
"761792907575450385",
"12510350648500199814",
"214507625428065409805"
]
| [
"nonn",
"easy"
]
| 38 | 0 | 3 | [
"A008277",
"A009737",
"A052852",
"A059419"
]
| null | R. H. Hardin | 2025-04-16T09:01:29 | oeisdata/seq/A009/A009737.seq | e9066533fb58240b97441facde7b03dd |
A009738 | Expansion of e.g.f.: tan(x)*exp(tanh(x)). | [
"0",
"1",
"2",
"5",
"4",
"1",
"38",
"797",
"3144",
"1345",
"-49526",
"785685",
"10349516",
"33807489",
"-460714706",
"492925869",
"91894143376",
"846642059905",
"-6277401116142",
"-79077949115227",
"1574511126111380",
"36210294463841281",
"-81923064774031562"
]
| [
"sign",
"easy"
]
| 13 | 0 | 3 | null | null | R. H. Hardin | 2020-02-20T19:02:43 | oeisdata/seq/A009/A009738.seq | d92660fa7387d025413a21ef90a95c78 |
A009739 | E.g.f. tan(x)*exp(x). | [
"0",
"1",
"2",
"5",
"12",
"41",
"142",
"685",
"3192",
"19921",
"116282",
"887765",
"6219972",
"56126201",
"458790022",
"4776869245",
"44625674352",
"526589630881",
"5534347077362",
"72989204937125",
"852334810990332",
"12424192360405961",
"159592488559874302",
"2547879762929443405",
"35703580441464231912"
]
| [
"nonn",
"easy"
]
| 36 | 0 | 3 | [
"A003701",
"A009739"
]
| null | R. H. Hardin | 2024-05-12T17:44:33 | oeisdata/seq/A009/A009739.seq | ea9bd4149003ed5d7376ab86c05ff7d9 |
A009740 | Expansion of tan(x)*sin(sin(x)). | [
"0",
"2",
"0",
"88",
"704",
"50464",
"2089216",
"173223040",
"16120801280",
"2032098365952",
"311227464130560",
"58380271774087168",
"13053338796582584320",
"3439281363674203889664",
"1053729213379599495528448"
]
| [
"nonn"
]
| 9 | 0 | 2 | null | null | R. H. Hardin | 2014-01-27T09:13:00 | oeisdata/seq/A009/A009740.seq | 93cc8a60d862b18d1e819f42dcd777da |
A009741 | Expansion of tan(x)*sin(sinh(x)). | [
"0",
"2",
"8",
"48",
"832",
"34304",
"1992704",
"149382912",
"14491045888",
"1792468533248",
"275860960329728",
"51650706246205440",
"11555611726669152256",
"3044203421408056377344",
"932732257836665756450816"
]
| [
"nonn"
]
| 14 | 0 | 2 | null | null | R. H. Hardin | 2025-06-08T10:34:41 | oeisdata/seq/A009/A009741.seq | eff98eece2981dd0cbb3c92cfb0a4dff |
A009742 | Expansion of tan(x)*sin(tan(x)). | [
"0",
"2",
"12",
"118",
"536",
"-116246",
"-16364252",
"-2126232482",
"-306170653648",
"-50385573229614",
"-9466502482856388",
"-2005520046878244794",
"-469486134481963893176",
"-117587958866855549958726"
]
| [
"sign"
]
| 14 | 0 | 2 | null | null | R. H. Hardin | 2017-04-02T12:07:39 | oeisdata/seq/A009/A009742.seq | b5efddc5ea62471eb221b53368408680 |
A009743 | Expansion of e.g.f. tan(x)*sin(tanh(x)), even powers only. | [
"0",
"2",
"-4",
"198",
"-4040",
"316874",
"-19176268",
"2374489614",
"-282825044624",
"52279148694674",
"-10130169154611604",
"2647521503418566742",
"-750173159912329738328",
"264926794785670147533914",
"-102608322417098838227114716",
"47204299500814419684790058910"
]
| [
"sign"
]
| 22 | 0 | 2 | null | null | R. H. Hardin | 2018-03-05T04:57:10 | oeisdata/seq/A009/A009743.seq | e837bbb14d5a60ed6b83772824693617 |
A009744 | Expansion of e.g.f. tan(x)*sin(x) (even powers only). | [
"0",
"2",
"4",
"62",
"1384",
"50522",
"2702764",
"199360982",
"19391512144",
"2404879675442",
"370371188237524",
"69348874393137902",
"15514534163557086904",
"4087072509293123892362",
"1252259641403629865468284",
"441543893249023104553682822",
"177519391579539289436664789664"
]
| [
"nonn",
"easy"
]
| 42 | 0 | 2 | [
"A009744",
"A029582",
"A099023"
]
| null | R. H. Hardin | 2021-06-13T16:17:00 | oeisdata/seq/A009/A009744.seq | 7b6fbe03ea815d12f3d8c9fea740b626 |
A009745 | Expansion of e.g.f tan(x)*sinh(sin(x)), even powers only. | [
"0",
"2",
"8",
"48",
"1728",
"61184",
"3107840",
"235484928",
"22794670080",
"2824580218880",
"435346731352064",
"81496599519363072",
"18232624878580924416",
"4803148337754795474944",
"1471655716879344564174848"
]
| [
"nonn"
]
| 19 | 0 | 2 | null | null | R. H. Hardin | 2018-02-13T07:30:09 | oeisdata/seq/A009/A009745.seq | 3083bc285c83f480d2ead1d36e9e1920 |
A009746 | Expansion of e.g.f. tan(x)*sinh(tan(x)), even powers only. | [
"0",
"2",
"20",
"438",
"16680",
"973034",
"80252732",
"8859646110",
"1258403748432",
"223202277906386",
"48295209177888356",
"12510350648500199814",
"3820068667490198035320",
"1357281805972469318509754"
]
| [
"nonn"
]
| 17 | 0 | 2 | null | null | R. H. Hardin | 2018-02-13T05:58:01 | oeisdata/seq/A009/A009746.seq | 87f991c69882be36e22e384c521e7c22 |
A009747 | E.g.f. tan(x)*sinh(x) (even powers only). | [
"0",
"2",
"12",
"142",
"3192",
"116282",
"6219972",
"458790022",
"44625674352",
"5534347077362",
"852334810990332",
"159592488559874302",
"35703580441464231912",
"9405575479317650316842",
"2881823738166957609703092",
"1016124476854507687644180982",
"408525180980254462140262747872",
"185768439922172208338308590282722"
]
| [
"nonn"
]
| 24 | 0 | 2 | [
"A009739",
"A009747",
"A062161"
]
| null | R. H. Hardin | 2017-04-12T23:09:13 | oeisdata/seq/A009/A009747.seq | ac2c37d01272d00fbad57266ab5b895a |
A009748 | Expansion of e.g.f. tan(x)*tan(sin(x)), even powers only. | [
"0",
"2",
"12",
"118",
"1880",
"63274",
"4010212",
"332200222",
"32100167600",
"3749943333714",
"559340287979196",
"106082041802123974",
"24279253761809428744",
"6438550081937270152314",
"1958379738778789723419028"
]
| [
"nonn"
]
| 16 | 0 | 2 | null | null | R. H. Hardin | 2018-02-13T04:15:27 | oeisdata/seq/A009/A009748.seq | f250bd92bad6b36f088f63feae84d955 |
A009749 | Expansion of e.g.f. tan(x)*tan(sinh(x)), even powers only. | [
"0",
"2",
"20",
"438",
"17128",
"1048874",
"92901500",
"11253292638",
"1788824156368",
"361485870772562",
"90552477245862884",
"27548125826770266630",
"10006652421435397898680",
"4278388540712731489923194",
"2127009769120013449890941516",
"1216712823253198094167750050990"
]
| [
"nonn"
]
| 24 | 0 | 2 | null | null | R. H. Hardin | 2018-02-13T04:06:16 | oeisdata/seq/A009/A009749.seq | 6296719aa1eb66f323eb5cf7e9b11be2 |
A009750 | Expansion of e.g.f. tan(x)*tan(tan(x)), even powers only. | [
"0",
"2",
"24",
"688",
"36992",
"3234304",
"418499584",
"75077748736",
"17816420974592",
"5399699170000896",
"2034070241589854208",
"932012713402719797248",
"510363278595553899839488",
"329128604050609873851777024",
"246881504912875480553409740800",
"213119748914997017969817425018880"
]
| [
"nonn"
]
| 21 | 0 | 2 | null | null | R. H. Hardin | 2018-02-13T04:10:20 | oeisdata/seq/A009/A009750.seq | 41be702e013a0c48b99b32defdf12686 |
A009751 | Expansion of e.g.f. tan(x)*tan(tanh(x)), even powers only. | [
"0",
"2",
"8",
"48",
"2176",
"72704",
"2567168",
"320538624",
"23648567296",
"2869964963840",
"550752408829952",
"81617924549246976",
"20769854695130791936",
"5449382125873097867264",
"1599364150040158382587904",
"573113440182309263706685440",
"238664184536900397410937733120"
]
| [
"nonn"
]
| 25 | 0 | 2 | null | null | R. H. Hardin | 2018-02-13T04:14:54 | oeisdata/seq/A009/A009751.seq | c15243c7994372923661fb39232f369c |
A009752 | Expansion of e.g.f. tan(x)*x (even powers only). | [
"0",
"2",
"8",
"96",
"2176",
"79360",
"4245504",
"313155584",
"30460116992",
"3777576173568",
"581777702256640",
"108932957168730112",
"24370173276164456448",
"6419958484945407574016",
"1967044844910430876860416",
"693575525634287935244206080",
"278846808228005417477465964544",
"126799861926498005417315327279104"
]
| [
"nonn"
]
| 64 | 0 | 2 | [
"A009725",
"A009752",
"A024255",
"A065619",
"A099028",
"A110501",
"A117513",
"A232933"
]
| null | R. H. Hardin | 2024-08-04T01:26:20 | oeisdata/seq/A009/A009752.seq | 4fbae35893f53822b1a8fee1db1aa8b0 |
A009753 | Expansion of tan(x)/(1+x). | [
"0",
"1",
"-2",
"8",
"-32",
"176",
"-1056",
"7664",
"-61312",
"559744",
"-5597440",
"61925632",
"-743107584",
"9682766848",
"-135558735872",
"2035284795392",
"-32564556726272",
"553807329689600",
"-9968531934412800",
"189431195638956032",
"-3788623912779120640"
]
| [
"sign",
"easy"
]
| 26 | 0 | 3 | [
"A009753",
"A049471"
]
| null | R. H. Hardin | 2018-02-13T03:12:34 | oeisdata/seq/A009/A009753.seq | f37599df8e82187780fb3944a53b9756 |
A009754 | Expansion of e.g.f. tan(x)/cos(log(1+x)). | [
"0",
"1",
"0",
"5",
"-12",
"116",
"-720",
"7048",
"-67648",
"789124",
"-9839520",
"137625652",
"-2079277200",
"34199202272",
"-604204537664",
"11450703405872",
"-231315430836480",
"4966162863717008",
"-112867805704455936",
"2707812372195278800",
"-68377223974957136320",
"1812971997782789669056"
]
| [
"sign",
"easy"
]
| 19 | 0 | 4 | null | null | R. H. Hardin | 2018-02-13T02:55:27 | oeisdata/seq/A009/A009754.seq | 7cd849265480267a136662076299ebdf |
A009755 | Expansion of e.g.f. tan(x)/cos(sin(x)), odd powers only. | [
"1",
"5",
"41",
"517",
"12145",
"582405",
"42317081",
"3759817029",
"398983432289",
"52888501801733",
"8949712747169929",
"1870731232726437509",
"461089997723562652881",
"130976488217164121240069",
"42778996119131902973150329",
"16067412656453434757397261253",
"6888568425518076742074506305217"
]
| [
"nonn"
]
| 20 | 0 | 2 | null | null | R. H. Hardin | 2018-02-15T15:38:13 | oeisdata/seq/A009/A009755.seq | fefd5abba037ab651ea9e19aa69c5139 |
A009756 | Expansion of e.g.f. tan(x)/cos(sinh(x)), odd powers only. | [
"1",
"5",
"81",
"2477",
"124513",
"9330485",
"977555697",
"136714167389",
"24639427576513",
"5566295195214053",
"1541371979776273041",
"513628137925507217549",
"202807061788804647209761",
"93651309146079155756811029",
"50008862201366935181522322225",
"30579839563414166184921341412413"
]
| [
"nonn"
]
| 17 | 1 | 2 | null | null | R. H. Hardin | 2018-02-13T02:53:46 | oeisdata/seq/A009/A009756.seq | 2cc4c8b1618d15c14d9d7a49ed762753 |
A009757 | Expansion of e.g.f. tan(x)/cos(tan(x)), odd powers only. | [
"1",
"5",
"101",
"4297",
"311017",
"34201485",
"5316286925",
"1110355789329",
"300067100236625",
"101902284312853013",
"42484968788050104757",
"21335944225303831614809",
"12704193401200858575308601",
"8850034105543023432746843549",
"7130974518135579153768747620893"
]
| [
"nonn"
]
| 16 | 0 | 2 | null | null | R. H. Hardin | 2018-02-13T03:13:07 | oeisdata/seq/A009/A009757.seq | 250d6229621f495d9566e2f6c0283d36 |
A009758 | Expansion of e.g.f. tan(x)/cos(tanh(x)) (odd powers only). | [
"1",
"5",
"21",
"377",
"17161",
"442925",
"38819613",
"3394928609",
"307139569297",
"50204583973973",
"8330000263573413",
"1585633516380134729",
"416021432525199858841",
"118441213090527475221629",
"35638847609472720069131181",
"15336745055032862739772925873"
]
| [
"nonn"
]
| 20 | 1 | 2 | null | null | R. H. Hardin | 2018-02-13T02:54:13 | oeisdata/seq/A009/A009758.seq | f49970e16357337534d92134072781da |
A009759 | Expansion of (3 - 21*x + 4*x^2)/((x-1)*(x^2 - 6*x + 1)). | [
"-3",
"0",
"17",
"116",
"693",
"4056",
"23657",
"137900",
"803757",
"4684656",
"27304193",
"159140516",
"927538917",
"5406093000",
"31509019097",
"183648021596",
"1070379110493",
"6238626641376",
"36361380737777",
"211929657785300",
"1235216565974037"
]
| [
"sign"
]
| 41 | 0 | 1 | [
"A001652",
"A001653",
"A001844",
"A008844",
"A009759"
]
| null | N. J. A. Sloane, Nick Baxter (nick(AT)visigenic.com) | 2022-09-08T08:44:37 | oeisdata/seq/A009/A009759.seq | 9d3cea20db60944100b977c9f855fde8 |
A009760 | Expansion of e.g.f. tan(x)/cosh(log(1+x)). | [
"0",
"1",
"0",
"-1",
"12",
"-34",
"120",
"146",
"-2352",
"23848",
"-53280",
"-371768",
"12223200",
"-107535440",
"706340544",
"2599870352",
"-95898673920",
"1486560431744",
"-8308014488064",
"-67260673442176",
"3505513923832320",
"-54539552924497664",
"499029405102412800"
]
| [
"sign",
"easy"
]
| 27 | 0 | 5 | null | null | R. H. Hardin | 2018-02-13T02:53:59 | oeisdata/seq/A009/A009760.seq | bd0c44ccee41af0b2dcfa438f27af239 |
A009761 | Expansion of e.g.f. tan(x)/cosh(sin(x)), odd powers only. | [
"1",
"-1",
"41",
"-673",
"45457",
"-2687521",
"313663481",
"-40066499905",
"7520482865953",
"-1641264931094209",
"461539011599816393",
"-151789031893211252065",
"60285747097883123598001",
"-27699643878162362856467425",
"14824242336112602473956467353",
"-9047638464118811277582522202369"
]
| [
"sign"
]
| 18 | 1 | 3 | null | null | R. H. Hardin | 2018-02-13T02:52:27 | oeisdata/seq/A009/A009761.seq | 229164c5589736e73724069f4bf9fbf8 |
A009762 | Expansion of tan(x)/cosh(tan(x)). | [
"1",
"-1",
"-19",
"-253",
"-1415",
"164999",
"15064037",
"949320395",
"44870780017",
"1646995429391",
"436144142262365",
"216025221401835155",
"72522443306062946281",
"18012134571875515731095",
"2730160186702754555432789"
]
| [
"sign"
]
| 13 | 0 | 3 | null | null | R. H. Hardin | 2018-11-20T12:16:00 | oeisdata/seq/A009/A009762.seq | 3d50a0626572fc6c64519c97f78df45c |
A009763 | a(n) is (n+1)!*(n+2)! times coefficient of x^n in (log(1-x))^-1. | [
"1",
"1",
"6",
"76",
"1620",
"51780",
"2310000",
"136898496",
"10393064640",
"982930939200",
"113269208976000",
"15619762139984640",
"2539231615282602240",
"480507998223110457600",
"104704722014993388288000",
"26027184253285000629043200",
"7320192187611052189440000000",
"2312657526289162442074933248000"
]
| [
"nonn"
]
| 29 | 0 | 3 | [
"A001620",
"A002206",
"A002207",
"A009763",
"A061444"
]
| null | Philippe Deléham, Apr 14 1997 | 2025-06-23T05:33:48 | oeisdata/seq/A009/A009763.seq | d9523f9739552d1134a9a99cda31ff45 |
A009764 | Expansion of e.g.f. tan(x)^2 (even powers only). | [
"0",
"2",
"16",
"272",
"7936",
"353792",
"22368256",
"1903757312",
"209865342976",
"29088885112832",
"4951498053124096",
"1015423886506852352",
"246921480190207983616",
"70251601603943959887872",
"23119184187809597841473536",
"8713962757125169296170811392",
"3729407703720529571097509625856"
]
| [
"nonn",
"easy"
]
| 51 | 0 | 2 | [
"A000182",
"A009764",
"A024283"
]
| null | R. H. Hardin | 2025-05-16T06:18:35 | oeisdata/seq/A009/A009764.seq | e74b23653c7929b367c7445f2f2095ea |
A009765 | Expansion of tan(x/cos(x)). | [
"1",
"5",
"101",
"4689",
"381769",
"47849053",
"8532452397",
"2051184222377",
"639121206054545",
"250473754883360181",
"120568689462321176053",
"69926680208791530760705",
"48091629862193464534126041"
]
| [
"nonn"
]
| 13 | 0 | 2 | null | null | R. H. Hardin | 2014-01-27T09:13:01 | oeisdata/seq/A009/A009765.seq | 45d627bc12c617cf55cada8924cdce40 |
A009766 | Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = Sum_{j=0..k} T(n-1,j). | [
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"3",
"5",
"5",
"1",
"4",
"9",
"14",
"14",
"1",
"5",
"14",
"28",
"42",
"42",
"1",
"6",
"20",
"48",
"90",
"132",
"132",
"1",
"7",
"27",
"75",
"165",
"297",
"429",
"429",
"1",
"8",
"35",
"110",
"275",
"572",
"1001",
"1430",
"1430",
"1",
"9",
"44",
"154",
"429",
"1001",
"2002",
"3432",
"4862",
"4862",
"1",
"10",
"54",
"208",
"637",
"1638",
"3640",
"7072",
"11934"
]
| [
"nonn",
"tabl",
"nice"
]
| 465 | 0 | 5 | [
"A000108",
"A000245",
"A000344",
"A000588",
"A000957",
"A000958",
"A000984",
"A001392",
"A001405",
"A002057",
"A003517",
"A003518",
"A003519",
"A008315",
"A009766",
"A014495",
"A026726",
"A028364",
"A030237",
"A030238",
"A033184",
"A047072",
"A053121",
"A059365",
"A062103",
"A062745",
"A081696",
"A099039",
"A106566",
"A130020",
"A140344",
"A165407",
"A194124",
"A214292"
]
| null | Wouter Meeussen | 2025-04-18T08:53:00 | oeisdata/seq/A009/A009766.seq | 119bd49c067c0d534ca2ed180d18f3f5 |
A009767 | Expansion of e.g.f. tan(x^2)/2 in odd powers of x^2. | [
"1",
"120",
"241920",
"2352430080",
"70008319180800",
"4981141593037209600",
"724337282211580477440000",
"193082117289145211195228160000",
"87097726450270042926290105794560000",
"62534967622066352401869341275560345600000",
"68083350599600621793249530921443071413452800000"
]
| [
"nonn"
]
| 16 | 0 | 2 | [
"A000182",
"A009767",
"A024348"
]
| null | R. H. Hardin | 2025-01-12T12:11:02 | oeisdata/seq/A009/A009767.seq | 5ec6e1033a53d83616a4abac296410d0 |
A009768 | Expansion of e.g.f. tanh(exp(x)*x). | [
"0",
"1",
"2",
"1",
"-20",
"-159",
"-594",
"2465",
"69560",
"665665",
"1593850",
"-67177791",
"-1413216540",
"-12990964063",
"64480265318",
"4811655319393",
"90259507840240",
"540272971703937",
"-20890652777843598",
"-798235260367432831",
"-12766815370452348580"
]
| [
"sign",
"easy"
]
| 20 | 0 | 3 | [
"A009121",
"A009565",
"A009635",
"A009768",
"A216401"
]
| null | R. H. Hardin | 2023-06-03T11:17:45 | oeisdata/seq/A009/A009768.seq | 1fc2b52a0ec7207671d77ffab3c89c72 |
A009769 | Expansion of tanh(log(1+1/x)). | [
"1",
"0",
"-4",
"24",
"-96",
"0",
"5760",
"-80640",
"645120",
"0",
"-116121600",
"2554675200",
"-30656102400",
"0",
"11158821273600",
"-334764638208000",
"5356234211328000",
"0",
"-3278015337332736000",
"124564582818643968000",
"-2491291656372879360000",
"0"
]
| [
"sign",
"easy"
]
| 17 | 0 | 3 | [
"A009014",
"A009116",
"A009769"
]
| null | R. H. Hardin | 2014-03-09T04:49:07 | oeisdata/seq/A009/A009769.seq | fd330c91e74c40a85f2fba921b01826d |
A009770 | Expansion of tanh(log(1+log(1+x))). | [
"0",
"1",
"-2",
"5",
"-11",
"-16",
"656",
"-9066",
"107766",
"-1222110",
"13400544",
"-137979810",
"1199045706",
"-4684987308",
"-153270916044",
"6326220565560",
"-169975260810216",
"3943603406845656",
"-83676044951653392",
"1624994111075924376"
]
| [
"sign",
"easy"
]
| 13 | 0 | 3 | null | null | R. H. Hardin | 2015-06-22T22:43:28 | oeisdata/seq/A009/A009770.seq | 5b24802adbabca9a477978541f296818 |
A009771 | Expansion of tanh(log(1+sin(x))). | [
"0",
"1",
"-1",
"-1",
"10",
"-29",
"-46",
"1049",
"-5480",
"-6299",
"367784",
"-2993101",
"-433520",
"302131831",
"-3539197936",
"4643279549",
"477914976640",
"-7698953963639",
"24464869564544",
"1282442213912999",
"-27686771463968000",
"150369505621009291"
]
| [
"sign",
"easy"
]
| 10 | 0 | 5 | null | null | R. H. Hardin | 2015-06-22T22:43:12 | oeisdata/seq/A009/A009771.seq | 04f731ed8977af0e5c5f12163c5ff017 |
A009772 | Expansion of tanh(log(1+sinh(x))). | [
"0",
"1",
"-1",
"1",
"2",
"-29",
"194",
"-1049",
"4472",
"-6299",
"-171736",
"2993101",
"-34111408",
"302131831",
"-1763868016",
"-4643279549",
"370023946112",
"-7698953963639",
"115221639807104",
"-1282442213912999",
"6786946897932032",
"150369505621009291"
]
| [
"sign",
"easy"
]
| 12 | 0 | 5 | null | null | R. H. Hardin | 2015-06-22T22:43:00 | oeisdata/seq/A009/A009772.seq | ea827be79401c38a38b9eb00c9841666 |
A009773 | Expansion of tanh(log(1+tan(x))). | [
"0",
"1",
"-1",
"2",
"-2",
"-14",
"194",
"-1828",
"15688",
"-130664",
"1037864",
"-7421008",
"36772528",
"153779536",
"-9259356016",
"209102239712",
"-3831278863232",
"63200892286336",
"-954398377549696",
"12766540334296832",
"-131022499047886592"
]
| [
"sign",
"easy"
]
| 12 | 0 | 4 | null | null | R. H. Hardin | 2015-06-22T22:42:50 | oeisdata/seq/A009/A009773.seq | ca945254ee16bee93f5f483ab9067b8d |
A009774 | Expansion of e.g.f.: tanh(log(1+tanh(x))). | [
"0",
"1",
"-1",
"-2",
"14",
"-14",
"-286",
"1828",
"3464",
"-130664",
"619304",
"7421008",
"-128214736",
"153779536",
"18052524944",
"-209102239712",
"-1370716606336",
"63200892286336",
"-414519986847616",
"-12766540334296832",
"303340786629265664"
]
| [
"sign",
"easy"
]
| 14 | 0 | 4 | null | null | R. H. Hardin | 2015-06-22T22:42:35 | oeisdata/seq/A009/A009774.seq | 1471edddb6f9df6c8d086bcab2f66319 |
A009775 | Exponential generating function is tanh(log(1+x)). | [
"0",
"1",
"-1",
"0",
"6",
"-30",
"90",
"0",
"-2520",
"22680",
"-113400",
"0",
"7484400",
"-97297200",
"681080400",
"0",
"-81729648000",
"1389404016000",
"-12504636144000",
"0",
"2375880867360000",
"-49893498214560000",
"548828480360160000",
"0",
"-151476660579404160000"
]
| [
"sign",
"easy"
]
| 35 | 0 | 5 | [
"A007019",
"A007415",
"A007452",
"A009775",
"A046979",
"A052277",
"A092820",
"A217260"
]
| null | R. H. Hardin | 2017-09-16T03:37:27 | oeisdata/seq/A009/A009775.seq | a515b208b4e7bd30cda744732437ab36 |
A009776 | E.g.f.: tanh(log(1+x))*cos(x). | [
"0",
"1",
"-1",
"-3",
"12",
"-25",
"-15",
"623",
"-4592",
"18909",
"17595",
"-1233551",
"13641276",
"-81119597",
"-105681667",
"10102782675",
"-148962722880",
"1158387845177",
"1940315387607",
"-234950313889819",
"4330346354150860",
"-41597707520306049",
"-85160442362115351"
]
| [
"sign",
"easy"
]
| 15 | 0 | 4 | null | null | R. H. Hardin | 2012-09-21T11:28:31 | oeisdata/seq/A009/A009776.seq | 01d151e82ba21205a309c6a5d4351cfd |
A009777 | E.g.f. tanh(log(1+x))*cosh(x). | [
"0",
"1",
"-1",
"3",
"0",
"-25",
"165",
"-623",
"392",
"18909",
"-206685",
"1233551",
"-1161336",
"-81119597",
"1241356025",
"-10102782675",
"12681799920",
"1158387845177",
"-22791296600793",
"234950313889819",
"-368659923645520",
"-41597707520306049"
]
| [
"sign",
"easy"
]
| 15 | 0 | 4 | null | null | R. H. Hardin | 2017-04-02T12:23:31 | oeisdata/seq/A009/A009777.seq | 02f48b35b7a453726d9687d49c0cb90b |
A009778 | Expansion of e.g.f.: tanh(log(1+x))*exp(x). | [
"0",
"1",
"1",
"0",
"4",
"-5",
"-9",
"196",
"-1280",
"4509",
"12565",
"-386144",
"3804516",
"-19339385",
"-75459461",
"3162527460",
"-41545303904",
"276166431961",
"1385435722185",
"-73547738586656",
"1207721984518180",
"-9917136571683789",
"-60806773846655969"
]
| [
"sign",
"easy"
]
| 12 | 0 | 5 | null | null | R. H. Hardin | 2015-11-26T08:53:27 | oeisdata/seq/A009/A009778.seq | d004ed3161b8d78e5ac80c27d77a12ba |
A009779 | Expansion of e.g.f.: tanh(log(1+x))*log(1+x). | [
"0",
"0",
"2",
"-6",
"14",
"-20",
"-36",
"336",
"720",
"-38016",
"524160",
"-5448960",
"50388480",
"-465903360",
"5010888960",
"-69353625600",
"1155961497600",
"-20593469030400",
"370356373094400",
"-6695551947571200",
"124010190839808000",
"-2408196729028608000"
]
| [
"sign",
"easy"
]
| 17 | 0 | 3 | null | null | R. H. Hardin | 2020-08-26T15:31:53 | oeisdata/seq/A009/A009779.seq | 5b1381d900b333f73c17c7296a866d57 |
A009780 | Expansion of tanh(log(1+x))/cos(x). | [
"0",
"1",
"-1",
"3",
"0",
"-5",
"105",
"-203",
"392",
"16245",
"-117765",
"957671",
"-385176",
"-34555105",
"764774101",
"-4852910775",
"9796998000",
"823102605865",
"-13347886241385",
"158552006816779",
"-178014612138640",
"-21779819623624125",
"605833151606624865"
]
| [
"sign",
"easy"
]
| 10 | 0 | 4 | null | null | R. H. Hardin | 2015-06-22T22:41:15 | oeisdata/seq/A009/A009780.seq | 4243d9247c58393dcb06e3f305d4c281 |
A009781 | Expansion of e.g.f.: tanh(log(1+x))/cosh(x). | [
"0",
"1",
"-1",
"-3",
"12",
"-5",
"-75",
"203",
"-1232",
"16245",
"-44685",
"-957671",
"11106876",
"-34555105",
"-281002631",
"4852910775",
"-67849574400",
"823102605865",
"-1467960664185",
"-158552006816779",
"2993025524196940",
"-21779819623624125"
]
| [
"sign",
"easy"
]
| 17 | 0 | 4 | null | null | R. H. Hardin | 2015-06-22T22:40:56 | oeisdata/seq/A009/A009781.seq | 51c488a74ca346eba66c9afc5821d2d0 |
A009782 | E.g.f.: expansion of tanh(log(1+x))/exp(x). | [
"0",
"1",
"-3",
"6",
"-4",
"-45",
"339",
"-1442",
"2064",
"33309",
"-425935",
"2853246",
"-6127188",
"-142899809",
"2558171511",
"-23368092810",
"66908903744",
"2040609258393",
"-46968028923771",
"543448366366294",
"-1945041831809220",
"-73278278468928309"
]
| [
"sign",
"easy"
]
| 14 | 0 | 3 | null | null | R. H. Hardin | 2015-06-22T22:39:54 | oeisdata/seq/A009/A009782.seq | 9eb16adc14939fe60eb08f89b35d6faf |
A009783 | Expansion of e.g.f.: tanh(log(1+x)*cos(x)). | [
"0",
"1",
"-1",
"-3",
"12",
"15",
"-375",
"819",
"13888",
"-108483",
"-551925",
"13545961",
"-22418484",
"-1621656517",
"14484838277",
"186206989903",
"-4523278283040",
"-3719219044807",
"1200472177117815",
"-10141780669451755",
"-290942811953148500"
]
| [
"sign",
"easy"
]
| 15 | 0 | 4 | null | null | R. H. Hardin | 2021-06-30T18:43:31 | oeisdata/seq/A009/A009783.seq | 8d0de0d2bbfb48e327ad362cd20a4b28 |
A009784 | Expansion of tanh(log(1+x)*cosh(x)). | [
"0",
"1",
"-1",
"3",
"0",
"-65",
"525",
"-3619",
"15512",
"51549",
"-2308365",
"37073399",
"-417301896",
"2878576779",
"13832070161",
"-1001340728543",
"23330589314640",
"-373263648419975",
"3611687964249159",
"21971926549737643",
"-2211581913138852400"
]
| [
"sign",
"easy"
]
| 19 | 0 | 4 | null | null | R. H. Hardin | 2015-06-22T22:39:41 | oeisdata/seq/A009/A009784.seq | b0e1df14d5065f435469d69c9fe5e897 |
A009785 | Expansion of tanh(log(1+x)*exp(x)). | [
"0",
"1",
"1",
"0",
"-12",
"-45",
"-65",
"1400",
"12096",
"52269",
"-469307",
"-8565656",
"-73323052",
"223125903",
"11882866931",
"176275489312",
"328262199968",
"-26579607201031",
"-672646430878551",
"-4665154122148880",
"76898559105113236",
"3784100596619704043"
]
| [
"sign",
"easy"
]
| 12 | 0 | 5 | null | null | R. H. Hardin | 2018-09-14T12:57:39 | oeisdata/seq/A009/A009785.seq | 56756b1bd2dd35a5965ef6196c7420fa |
A009786 | Expansion of tanh(log(1+x)/cos(x)). | [
"0",
"1",
"-1",
"3",
"0",
"-45",
"465",
"-3759",
"22232",
"-70059",
"-1060245",
"28407599",
"-453971496",
"5589320503",
"-48353999603",
"7539772397",
"12427981991760",
"-374837737029719",
"7794717166601847",
"-122407621058565797",
"1113301750728210320"
]
| [
"sign",
"easy"
]
| 12 | 0 | 4 | null | null | R. H. Hardin | 2024-12-22T10:48:52 | oeisdata/seq/A009/A009786.seq | ad3e94ac185b04528d44aa52c0ae13b8 |
A009787 | Expansion of tanh(log(1+x)/cosh(x)). | [
"0",
"1",
"-1",
"-3",
"12",
"35",
"-435",
"-161",
"23968",
"-68811",
"-1874205",
"15189361",
"177102156",
"-3209424153",
"-15134777567",
"750725838563",
"-828777844320",
"-197682938738071",
"1577204564247783",
"55820827940141285",
"-1005440186803008980"
]
| [
"sign",
"easy"
]
| 10 | 0 | 4 | null | null | R. H. Hardin | 2015-06-22T22:39:03 | oeisdata/seq/A009/A009787.seq | f4f4377f0650d1a14322c9496c0e726f |
A009788 | Expansion of e.g.f.: tanh(log(1+x)/exp(x)). | [
"0",
"1",
"-3",
"6",
"12",
"-325",
"3275",
"-21238",
"2128",
"2873229",
"-59980543",
"767451894",
"-4032383300",
"-119489497257",
"4880007568319",
"-104393287284518",
"1240478290057792",
"10284007879438201",
"-1108679036024621403",
"37101253954089817798"
]
| [
"sign",
"easy"
]
| 12 | 0 | 3 | null | null | R. H. Hardin | 2015-06-22T22:38:48 | oeisdata/seq/A009/A009788.seq | d7d3645c5b9a03f7e9f60fff9455ce7f |
A009789 | Expansion of e.g.f.: tanh(log(1+x)^2). | [
"0",
"0",
"2",
"-6",
"22",
"-100",
"308",
"1512",
"-51144",
"869472",
"-12648528",
"168624720",
"-2029008720",
"19500193440",
"-52358834400",
"-4526884091520",
"184448883292800",
"-5247799551052800",
"128265498107293440",
"-2787299439278250240"
]
| [
"sign",
"easy"
]
| 15 | 0 | 3 | null | null | R. H. Hardin | 2017-04-02T12:32:22 | oeisdata/seq/A009/A009789.seq | 6530d3606ca2882697354a15b946eddb |
A009790 | Expansion of tanh(sin(log(1+x))). | [
"0",
"1",
"-1",
"-1",
"12",
"-44",
"0",
"1308",
"-9744",
"10252",
"627300",
"-8602012",
"52192272",
"175312944",
"-7344669696",
"47605119248",
"1147983841920",
"-39804749006384",
"654853807745712",
"-6275619074963280",
"23531625959609280",
"-369751741237644224"
]
| [
"sign",
"easy"
]
| 10 | 0 | 5 | null | null | R. H. Hardin | 2015-06-22T22:38:30 | oeisdata/seq/A009/A009790.seq | db206af6f23c337b27bf359ca3b9c0cc |
A009791 | E.g.f. tanh(sin(sin(x))) (odd powers only). | [
"1",
"-4",
"68",
"-2584",
"171344",
"-17464448",
"2529148352",
"-493428887168",
"124730546544896",
"-39649824402078720",
"15479590269182063616",
"-7280988095409621465088",
"4060943278418110382329856",
"-2650034901967494261760065536"
]
| [
"sign"
]
| 19 | 0 | 2 | null | null | R. H. Hardin | 2014-04-18T18:57:15 | oeisdata/seq/A009/A009791.seq | 44732f5763858062f93ea1953e05dee7 |
A009792 | Expansion of tanh(sin(tan(x))). | [
"1",
"-1",
"-7",
"-1",
"-271",
"-160865",
"-20526295",
"-2612566625",
"-428389803295",
"-92209986037569",
"-24470039135390631",
"-7682773321370869825",
"-2806605353653596949039",
"-1180130871205583579484833",
"-564761272710902075156873847"
]
| [
"sign"
]
| 12 | 0 | 3 | null | null | R. H. Hardin | 2017-04-02T12:29:25 | oeisdata/seq/A009/A009792.seq | 27d09f81f1dd530f6cf27a7c49db9315 |
A009793 | Expansion of tanh(sin(x))*cos(x). | [
"1",
"-6",
"72",
"-1904",
"89344",
"-6445824",
"660602880",
"-91175548928",
"16301080281088",
"-3664597991424000",
"1011727950085619712",
"-336514395583207178240",
"132722531082033166286848",
"-61245140659205655654039552"
]
| [
"sign"
]
| 17 | 0 | 2 | null | null | R. H. Hardin | 2014-02-08T14:53:57 | oeisdata/seq/A009/A009793.seq | c02e768e974ffd11779b5670db5d1fe1 |
A009794 | Expansion of tanh(sin(x))*exp(x). | [
"0",
"1",
"2",
"0",
"-8",
"12",
"168",
"-336",
"-6208",
"15760",
"365984",
"-1144704",
"-31759232",
"117385920",
"3799039104",
"-16206548736",
"-599327352832",
"2897776619776",
"120551382086144",
"-651455951990784",
"-30112348370954240",
"179856295521635328"
]
| [
"sign",
"easy"
]
| 11 | 0 | 3 | null | null | R. H. Hardin | 2017-04-02T12:22:08 | oeisdata/seq/A009/A009794.seq | a506d47685b778749468691dd5a2cdf3 |
A009795 | Expansion of tanh(sin(x))*sin(x). | [
"0",
"2",
"-16",
"288",
"-10368",
"610304",
"-52885504",
"6324756480",
"-997700468736",
"200677417680896",
"-50126593037172736",
"15222954297995034624",
"-5523668414636262162432",
"2360101997206034337234944",
"-1172849951576110533537955840",
"670735996458876867872135577600"
]
| [
"sign"
]
| 17 | 0 | 2 | null | null | R. H. Hardin | 2018-02-05T15:36:34 | oeisdata/seq/A009/A009795.seq | 5e1df0f0f8b14c4fe2ff14b34cf6d9ad |
A009796 | Expansion of tanh(sin(x))*tan(x). | [
"0",
"2",
"-4",
"198",
"-4488",
"365834",
"-26333836",
"3548101326",
"-521011775760",
"109600356362258",
"-26637313430995732",
"8227982193974569686",
"-2954555247298219357848",
"1270556471466981784144154"
]
| [
"sign"
]
| 15 | 0 | 2 | null | null | R. H. Hardin | 2017-04-02T12:31:43 | oeisdata/seq/A009/A009796.seq | f20ccc51e6a1d98e437c2e172e54caaa |
A009797 | Expansion of tanh(sin(x))/cos(x) (odd powers only). | [
"1",
"0",
"32",
"-336",
"31744",
"-1588224",
"207515648",
"-24843657216",
"4860991111168",
"-1034712438669312",
"295553381961826304",
"-96277515461273321472",
"38465285132060037480448",
"-17609621553067367199670272"
]
| [
"sign"
]
| 14 | 1 | 3 | null | null | R. H. Hardin | 2017-04-02T12:32:03 | oeisdata/seq/A009/A009797.seq | 4949130444b04017245bd5c8ae54ef1c |
A009798 | E.g.f. tanh(sin(x)*cos(x)) (odd powers only). | [
"1",
"-6",
"112",
"-5488",
"451840",
"-57057792",
"10262228992",
"-2484525168640",
"779280513040384",
"-307370299649556480",
"148889329569589362688",
"-86890528715348714192896",
"60129120979379216762011648"
]
| [
"sign"
]
| 18 | 0 | 2 | [
"A009798",
"A101921"
]
| null | R. H. Hardin | 2017-04-02T12:28:23 | oeisdata/seq/A009/A009798.seq | 2f39725f66cb24d789829bdd5ddfa368 |
A009799 | E.g.f. tanh(sin(x)*exp(x)). | [
"0",
"1",
"2",
"0",
"-24",
"-148",
"-248",
"5488",
"73024",
"346768",
"-3749728",
"-100273536",
"-922745472",
"4147334336",
"283697686144",
"4362058183936",
"4465927211008",
"-1382047649378048",
"-33554250522144256",
"-226963355560685568",
"10084981854738991104"
]
| [
"sign",
"easy"
]
| 14 | 0 | 3 | null | null | R. H. Hardin | 2017-04-02T12:25:16 | oeisdata/seq/A009/A009799.seq | f365ac8493228000087bbf4882242559 |
A009800 | Expansion of tanh(sin(x)*x). | [
"0",
"2",
"-4",
"-234",
"6712",
"352810",
"-51057612",
"-1023950914",
"1108394851184",
"-71310362507694",
"-51164568485366420",
"13196238860000066662",
"3757445119118639509416",
"-2956206137979802134429574"
]
| [
"sign"
]
| 12 | 0 | 2 | [
"A009800",
"A024243"
]
| null | R. H. Hardin | 2017-04-02T12:27:23 | oeisdata/seq/A009/A009800.seq | 6bbc7051ae6cd506a61860e49af0be38 |
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