A013068 Expansion of e.g.f. log(sinh(x) + cos(x)).

0, 1, -2, 6, -24, 140, -992, 8456, -84224, 957840, -12257792, 174293856, -2726068224, 46514037440, -859790139392, 17115342333056, -365041325441024, 8304761365213440, -200743379109281792, 5137820023434733056, -138802611894431514624, 3947233200665413667840, -117862929315296278740992

Offset

0,3

Links

Muniru A Asiru, Table of n, a(n) for n = 0..100

Example

x - 2/2!*x^2 + 6/3!*x^3 - 24/4!*x^4 + 140/5!*x^5 ...

Maple

seq(coeff(series(factorial(n)*log(sinh(x)+cos(x)), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 30 2018

Mathematica

CoefficientList[Series[Log[Sinh[x] + Cos[x]], {x, 0, 22}], x]Table[n!, {n, 0, 22}] (* Stefano Spezia, Oct 13 2022 *)

Prog

(PARI) my(x = 'x + O('x^30)); concat([0], Vec(serlaplace(log(sinh(x) + cos(x))))) \\ Michel Marcus, Jul 30 2018

Crossrefs

Sequence in context: A216507 A366459 A205182 * A326780 A365976 A356858

Adjacent sequences: A013065 A013066 A013067 * A013069 A013070 A013071

Keyword

sign

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

a(0)=0 inserted and title improved by Sean A. Irvine, Jul 30 2018

Status

approved