A013251 Expansion of e.g.f. sinh(log(x+1) - arctan(x)).

0, 0, -1, 4, -6, 0, -135, 1860, -10780, 48160, -697725, 11801700, -124517250, 1110252000, -17370227875, 346759094500, -5312388315000, 71055274680000, -1308651318365625, 30345122522578500, -607045975529938750

Offset

0,4

Links

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

Example

-(1/2!)*x^2 + (4/3!)*x^3 - (6/4!)*x^4 - (135/6!)*x^6 + ...

Mathematica

With[{nn=30}, Drop[CoefficientList[Series[Sinh[Log[x+1]-ArcTan[x]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, May 03 2012 *)

Prog

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

Crossrefs

Sequence in context: A013253 A013246 A013252 * A013247 A013248 A013254

Adjacent sequences: A013248 A013249 A013250 * A013252 A013253 A013254

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