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

0,4

Links

Table of n, a(n) for n=0..19.

Mathematica

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

Crossrefs

Sequence in context: A123333 A197752 A241905 * A012134 A088946 A131590

Adjacent sequences: A012255 A012256 A012257 * A012259 A012260 A012261

Keyword

nonn

Author

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

Extensions

Definition clarified by Harvey P. Dale, May 29 2019

Status

approved