A013263 Expansion of e.g.f. sinh(log(x+1) - sinh(x)).

0, 0, -1, 1, -6, 23, -135, 824, -6580, 56853, -566685, 6182834, -74106054, 961908023, -13463412963, 201897294416, -3230214322920, 54911338071817, -988396711394553, 18779422653489278, -375588020724014010

Offset

0,5

Links

Table of n, a(n) for n=0..20.

Example

-(1/2!)*x^2 + (1/3!)*x^3 - (6/4!)*x^4 + (23/5!)*x^5 - ...

Prog

(PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(sinh(log(x+1) - sinh(x))))) \\ Michel Marcus, Aug 03 2018

Crossrefs

Sequence in context: A369831 A063383 A266996 * A013259 A012468 A219168

Adjacent sequences: A013260 A013261 A013262 * A013264 A013265 A013266

Keyword

sign

Author

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

Extensions

a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 02 2018

Status

approved