A012962 Expansion of e.g.f. arcsin(arctan(x) + log(x+1)).

0, 2, -1, 8, -30, 366, -2655, 41652, -514668, 9980586, -173007765, 4004890848, -89829444474, 2436388004358, -66690826525323, 2084372053480332, -67131989795427480, 2384198449214048082, -88073922412026784233

Offset

0,2

Links

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

Example

2*x - 1/2!*x^2 + 8/3!*x^3 - 30/4!*x^4 + 366/5!*x^5 ...

Mathematica

With[{nn=20}, Rest[CoefficientList[Series[ArcSin[ArcTan[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!]] (* Harvey P. Dale, Apr 23 2015 *)

Crossrefs

Sequence in context: A013123 A012965 A013119 * A214731 A079899 A333469

Adjacent sequences: A012959 A012960 A012961 * A012963 A012964 A012965

Keyword

sign

Author

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

Extensions

a(0)=0 inserted and title improved by Sean A. Irvine, Jul 29 2018

Status

approved