A012574 Expansion of e.g.f.: arcsin(arcsinh(x)*log(x+1)).

0, 0, 2, -3, 4, -20, 278, -2079, 12024, -102024, 1526202, -21144915, 254194620, -3422013660, 60148579710, -1146224919735, 21194144971440, -407432463085200, 8837992445168370, -209438776595814435, 5103026808528257460, -128021892811081933860

Offset

0,3

Links

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

Example

arcsin(arcsinh(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 + 4/4!*x^4 - 20/5!*x^5 + ...

Mathematica

With[{nn=20}, CoefficientList[Series[ArcSin[ArcSinh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 17 2015 *)

Crossrefs

Sequence in context: A347210 A012284 A244673 * A012282 A012287 A012575

Adjacent sequences: A012571 A012572 A012573 * A012575 A012576 A012577

Keyword

sign

Author

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

Extensions

First two terms inserted by Harvey P. Dale, Jul 17 2015

Status

approved