A013092 sin(arcsinh(x)+tan(x))=2*x-7/3!*x^3+17/5!*x^5-1761/7!*x^7...

2, -7, 17, -1761, 38969, -5371821, 533244077, -95701880241, 21713687902033, -6101409790911765, 2263678163011472213, -978147247105547939065, 524239837552651158862393, -325081913127198568147313565

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Formula

a(n) ~ (-1)^n * 2^(2*n+1) * n^(2*n) * cosh(Pi/2+tanh(1)) / exp(2*n). - Vaclav Kotesovec, Nov 01 2013

Mathematica

Table[n!*SeriesCoefficient[Sin[ArcSinh[x]+Tan[x]], {x, 0, n}], {n, 1, 41, 2}] (* Vaclav Kotesovec, Nov 01 2013 *)
With[{nn=30}, Take[CoefficientList[Series[Sin[ArcSinh[x]+Tan[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Aug 12 2014 *)

Crossrefs

Sequence in context: A279334 A283957 A013062 * A174311 A220396 A217253

Adjacent sequences: A013089 A013090 A013091 * A013093 A013094 A013095

Keyword

sign

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Status

approved