A013230 Expansion of e.g.f. arctanh(log(x+1) - arcsin(x)).

0, 0, -1, 1, -6, 15, -150, 705, -8120, 56315, -750960, 7042275, -106939800, 1270108125, -21672530880, 312137314125, -5928695604000, 100366159008375, -2104970646729600, 40921600563449775

Offset

0,5

Links

Table of n, a(n) for n=0..19.

Example

-1/2!*x^2 + 1/3!*x^3 - 6/4!*x^4 + 15/5!*x^5 ...

Mathematica

Range[0, 20]! CoefficientList[ Series[ ArcTanh[ Log[x + 1] - ArcSin[x]], {x, 0, 20}], x] (* Robert G. Wilson v, Aug 01 2018 *)

Crossrefs

Sequence in context: A219289 A199224 A013224 * A306342 A117062 A003155

Adjacent sequences: A013227 A013228 A013229 * A013231 A013232 A013233

Keyword

sign

Author

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

Extensions

a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 01 2018

Status

approved