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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
OFFSET
0,5
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
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