A009573 Expansion of e.g.f. sinh(log(1+x))*cosh(x).

0, 1, -1, 6, -18, 95, -555, 3892, -31108, 279981, -2799765, 30797426, -369569046, 4804397611, -67261566463, 1008923496960, -16142775951240, 274427191171097, -4939689441079593, 93854099380512286, -1877081987610245530

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..448

Formula

a(n) ~ n! * (-1)^(n+1) * (exp(-1) + exp(1)) / 4. - Vaclav Kotesovec, Jan 23 2015

Mathematica

With[{nn=20}, CoefficientList[Series[Sinh[Log[1+x]]Cosh[x], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Dec 25 2012 *)
CoefficientList[Series[(x*(2 + x)*Cosh[x])/(2*(1 + x)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)

Prog

(PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(log(1+x))*cosh(x)) ))  \\ G. C. Greubel, Jan 21 2018

Crossrefs

Sequence in context: A174075 A151470 A280096 * A052655 A274499 A181038

Adjacent sequences: A009570 A009571 A009572 * A009574 A009575 A009576

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved