A013265 Expansion of e.g.f. tanh(log(x+1) - sinh(x)).

0, 0, -1, 1, -6, 23, -90, 509, -1960, 7251, 27720, -1167421, 20353608, -322757359, 4828920096, -72221046535, 1088176720800, -16527535024457, 253611377594496, -3894220888850401, 59159990565014280

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 - ...

Mathematica

With[{nn=20}, Drop[CoefficientList[Series[Tanh[Log[x+1]-Sinh[x]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, May 24 2017 *)

Prog

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

Crossrefs

Sequence in context: A282710 A295132 A013261 * A228703 A344815 A220372

Adjacent sequences: A013262 A013263 A013264 * A013266 A013267 A013268

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