A009354 Expansion of e.g.f. log(1+sinh(x))/cos(x).

0, 1, -1, 6, -16, 100, -481, 3640, -26216, 244560, -2364841, 26849504, -325189096, 4398704960, -63781044601, 1005854552448, -16941897363056, 305672687929600, -5855806159566961, 119006746966185472, -2553127722541494496

Offset

0,4

Links

Robert Israel, Table of n, a(n) for n = 0..441

Formula

a(n) ~ (n-1)! * (-1)^(n+1) / (cos(log(1+sqrt(2))) * (log(1+sqrt(2)))^n). - Vaclav Kotesovec, Jan 23 2015

Maple

S:= series(log(1+sinh(x))/cos(x), x, 61):
seq(coeff(S, x, j)*j!, j=0..60); # Robert Israel, Jan 04 2019

Mathematica

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

Crossrefs

Sequence in context: A266180 A229566 A222965 * A034191 A368875 A115331

Adjacent sequences: A009351 A009352 A009353 * A009355 A009356 A009357

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved