A013116 exp(arcsinh(x)+sinh(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5...

1, 2, 4, 8, 16, 42, 184, 744, 1152, -558, 99744, 924904, -5133696, -83024966, 906195840, 14896602184, -171321409536, -3277450732382, 44275226644992, 942900995465032, -14354506519279616, -338298547449554102

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Formula

E.g.f.: (x+sqrt(1+x^2))*exp(sinh(x)). - Vaclav Kotesovec, Nov 01 2013

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

Mathematica

CoefficientList[Series[Exp[ArcSinh[x]+Sinh[x]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 01 2013 *)

Crossrefs

Sequence in context: A259377 A275071 A018575 * A012912 A018593 A255394

Adjacent sequences: A013113 A013114 A013115 * A013117 A013118 A013119

Keyword

sign

Author

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

Status

approved