A012258 Expansion of e.g.f.: exp(arctanh(arcsin(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+84/5!*x^5...

1, 1, 1, 4, 13, 84, 469, 4152, 32985, 370128, 3818601, 51861888, 658371429, 10494283968, 158197312701, 2894815734912, 50529852678321, 1043916757274880, 20707179214389201, 476720372375608320

Offset: 0

Author

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

Keywords

• nonn

Programs

Mathematica

With[{nn=20},CoefficientList[Series[Exp[ArcTanh[ArcSin[x]]],{x,0,nn}],x] Range[0,nn]!] (* Harvey P. Dale, May 29 2019 *)

Extensions

Definition clarified by Harvey P. Dale, May 29 2019