A013082 exp(arcsinh(x)+sin(x))=1+2*x+4/2!*x^2+6/3!*x^3-38/5!*x^5-96/6!*x^6...

1, 2, 4, 6, 0, -38, -96, 182, 896, -7118, 9344, 828102, -1723392, -107900726, 271324928, 18234006902, -59548864512, -4075490338462, 16721045069824, 1171273052028934, -5792347300708352, -420782912153339462

Offset

0,2

Links

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

Formula

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

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

Mathematica

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

Crossrefs

Sequence in context: A062004 A300268 A009285 * A352639 A197388 A187717

Adjacent sequences: A013079 A013080 A013081 * A013083 A013084 A013085

Keyword

sign

Author

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

Status

approved