A009418 Expansion of log(1+x)*exp(sinh(x)).

0, 1, 1, 2, 4, 19, 11, 321, -720, 12489, -84849, 1008765, -10502700, 131502669, -1702662077, 24172986033, -364322094976, 5871664124881, -100335623138817, 1815293290581909, -34642054850289196, 695636985512560149

Offset

0,4

Links

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

Formula

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

Mathematica

Log[ 1+x ]*Exp[ Sinh[ x ] ]
CoefficientList[Series[E^Sinh[x]*Log[1 + x], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)

Crossrefs

Sequence in context: A009508 A275000 A290595 * A273553 A153691 A184308

Adjacent sequences: A009415 A009416 A009417 * A009419 A009420 A009421

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved