A009598 Expansion of e.g.f. sinh(sinh(x))*exp(x).

0, 1, 2, 5, 12, 37, 118, 457, 1816, 8169, 37354, 188685, 974372, 5497741, 31769182, 197920145, 1259350576, 8541537105, 59073098706, 432381471509, 3226127944764, 25340238127989, 202778723085382, 1699894200469849

Offset

0,3

Links

Matthew House, Table of n, a(n) for n = 0..591

Formula

E.g.f.: sinh(sinh(x))*exp(x).

Mathematica

CoefficientList[Series[Sinh[Sinh[x]] * Exp[x], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Oct 18 2015 *)

Prog

(PARI) x='x+O('x^33); concat(0, Vec(serlaplace(sinh(sinh(x))*exp(x)))) \\ Michel Marcus, Oct 17 2015

Crossrefs

Sequence in context: A363064 A052302 A280275 * A355861 A002216 A024717

Adjacent sequences: A009595 A009596 A009597 * A009599 A009600 A009601

Keyword

nonn,easy

Author

R. H. Hardin

Extensions

Extended and signs tested by Olivier Gérard, Mar 15 1997

Status

approved