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A013230
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Expansion of e.g.f. arctanh(log(x+1) - arcsin(x)).
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0
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0, 0, -1, 1, -6, 15, -150, 705, -8120, 56315, -750960, 7042275, -106939800, 1270108125, -21672530880, 312137314125, -5928695604000, 100366159008375, -2104970646729600, 40921600563449775
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OFFSET
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0,5
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LINKS
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EXAMPLE
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-1/2!*x^2 + 1/3!*x^3 - 6/4!*x^4 + 15/5!*x^5 ...
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MATHEMATICA
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Range[0, 20]! CoefficientList[ Series[ ArcTanh[ Log[x + 1] - ArcSin[x]], {x, 0, 20}], x] (* Robert G. Wilson v, Aug 01 2018 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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Patrick Demichel (patrick.demichel(AT)hp.com)
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EXTENSIONS
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a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 01 2018
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STATUS
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approved
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