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A013230 Expansion of e.g.f. arctanh(log(x+1) - arcsin(x)). 0
0, 0, -1, 1, -6, 15, -150, 705, -8120, 56315, -750960, 7042275, -106939800, 1270108125, -21672530880, 312137314125, -5928695604000, 100366159008375, -2104970646729600, 40921600563449775 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 28 00:30 EST 2020. Contains 331302 sequences. (Running on oeis4.)