A012902 Expansion of e.g.f. arctan(arcsin(x) + log(x+1)).

0, 2, -1, -13, 42, 501, -4410, -41949, 837816, 5284125, -248270400, -488121291, 104085035208, -402493400001, -57558177252576, 685798849437471, 39562885528800480, -935890930678896423, -31753772314067599488

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Example

2*x - 1/2!*x^2 - 13/3!*x^3 + 42/4!*x^4 + 501/5!*x^5 ...

Mathematica

With[{nn=20}, Rest[CoefficientList[Series[ArcTan[ArcSin[x]+Log[x+1]], {x, 0, nn}], x]Range[0, nn]!]] (* Harvey P. Dale, Mar 27 2012 *)

Crossrefs

Sequence in context: A013020 A012906 A013017 * A087169 A347962 A285777

Adjacent sequences: A012899 A012900 A012901 * A012903 A012904 A012905

Keyword

sign

Author

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

Extensions

a(0)=0 inserted and title improved by Sean A. Irvine, Jul 27 2018

Status

approved