A013097 arcsinh(arcsinh(x)+tan(x))=2*x-7/3!*x^3+273/5!*x^5-25953/7!*x^7...

2, -7, 273, -25953, 4935993, -1550066093, 727992520877, -477706621753073, 417426531017836113, -468554517235713007893, 657016357969010026027221, -1125485924474211875062297145, 2312766814097571417683969638841

Offset

0,1

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..200

Formula

Limit n->infinity (a(n)/((-1)^n*(2*n+1)!*n^(-3/2)))^(1/(2*n+1)) = 1.97099530685431257534... - Vaclav Kotesovec, Nov 01 2013

Mathematica

Table[n!*SeriesCoefficient[ArcSinh[ArcSinh[x]+Tan[x]], {x, 0, n}], {n, 1, 41, 2}] (* Vaclav Kotesovec, Nov 01 2013 *)
With[{nn=30}, Take[CoefficientList[Series[ArcSinh[ArcSinh[x]+Tan[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Jun 17 2021 *)

Crossrefs

Sequence in context: A012942 A208018 A013058 * A037067 A012987 A187603

Adjacent sequences: A013094 A013095 A013096 * A013098 A013099 A013100

Keyword

sign

Author

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

Status

approved