A013276 Expansion of e.g.f. arcsinh(log(x+1) - arcsinh(x)).

0, 0, -1, 3, -6, 15, -105, 630, -1260, -6615, -12285, 519750, 6548850, -111486375, -1379863485, 47789141400, -560415655800, 8675814972825, -266366151876825, 5553256188630150, -63668362865357250

Offset

0,4

Links

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

Example

-(1/2!)*x^2 + (3/3!)*x^3 - (6/4!)*x^4 + (15/5!)*x^5 - ...

Prog

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

Crossrefs

Sequence in context: A144549 A280992 A013270 * A110809 A013275 A013271

Adjacent sequences: A013273 A013274 A013275 * A013277 A013278 A013279

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