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A013228
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Expansion of e.g.f. arcsinh(log(x+1) - arcsin(x)).
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0
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0, 0, -1, 1, -6, 15, -105, 390, -3500, 15785, -188685, 946350, -15864750, 90057825, -2127610485, 15254857800, -444774915000, 4213468013625, -130378398500025, 1538133793366950, -48054409884965250
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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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With[{nn=20}, CoefficientList[Series[ArcSinh[Log[x+1]-ArcSin[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Sep 26 2021 *)
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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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