A012697 Expansion of e.g.f.: exp(arctanh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+28/4!*x^4-110/5!*x^5...

1, 0, 2, -3, 28, -110, 1058, -6804, 75024, -664488, 8456712, -94737720, 1378535112, -18587872368, 305610292752, -4802794952760, 88232994448128, -1580181612876864, 32119507894881216, -644756418530970624

Offset: 0

Author

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

Keywords

• sign

Programs

Mathematica

With[{nn=20},CoefficientList[Series[Exp[ArcTanh[x]Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* Harvey P. Dale, Dec 08 2019 *)

Extensions

Definition clarified by Harvey P. Dale, Dec 08 2019