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A012699
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Expansion of e.g.f. arcsin(arctanh(x) * log(x+1)).
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0
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0, 0, 2, -3, 16, -50, 488, -3024, 35376, -313704, 4361472, -52901640, 869275680, -13360922640, 252154734960, -4681650438360, 100596004131840, -2186713427586240, 52870374675586560, -1312523172135192960
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.: arcsin(arctanh(x) * log(x+1)).
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EXAMPLE
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2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 ...
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MATHEMATICA
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Range[0, 20]! CoefficientList[ Series[ ArcSin[ ArcTanh[x] Log[x + 1]], {x, 0, 20}], x] (* Robert G. Wilson v, Jul 24 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) and a(1) inserted and title improved by Sean A. Irvine, Jul 24 2018
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STATUS
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approved
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