A012630 arctanh(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+478/6!*x^6-30072/8!*x^8...

2, -12, 478, -30072, 3540762, -612942660, 152039588790, -50468748044400, 21718174357721010, -11738352932289531900, 7790876172172937111310, -6228079669260433576829160, 5903220687917269513392843210

Offset

0,1

Links

Table of n, a(n) for n=0..12.

Mathematica

With[{nn=30}, Take[CoefficientList[Series[ArcTanh[ArcSinh[x]ArcTan[x]], {x, 0, nn}], x] Range[0, nn]!, {3, -1, 2}]] (* Harvey P. Dale, Aug 02 2015 *)

Crossrefs

Sequence in context: A091471 A357895 A012625 * A013173 A013147 A250110

Adjacent sequences: A012627 A012628 A012629 * A012631 A012632 A012633

Keyword

sign

Author

Patrick Demichel

Extensions

Definition clarified by Harvey P. Dale, Aug 02 2015

Status

approved