A012087 Expansion of e.g.f.: exp(arcsin(arctan(x)))=1+x+1/2!*x^2-3/4!*x^4+4/5!*x^5+69/6!*x^6...

1, 1, 1, 0, -3, 4, 69, -32, -2503, 1936, 177481, -67328, -18539595, 4140096, 2813939725, 353591808, -573509386895, -262064131840, 152349815266705, 130347373404160, -50966873710838675, -65058714844462080

Offset

0,5

Links

Table of n, a(n) for n=0..21.

Mathematica

With[{nn=30}, CoefficientList[Series[Exp[ArcSin[ArcTan[x]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, May 27 2018 *)

Crossrefs

Sequence in context: A060356 A052323 A356292 * A012194 A318208 A341851

Adjacent sequences: A012084 A012085 A012086 * A012088 A012089 A012090

Keyword

sign

Author

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

Extensions

Definition clarified by Harvey P. Dale, May 27 2018

Status

approved