A009418 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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