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A012572
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exp(arcsinh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+16/4!*x^4-80/5!*x^5...
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1
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1, 0, 2, -3, 16, -80, 488, -3339, 26472, -241128, 2416002, -26168835, 310984452, -4057771068, 56774212350, -841821751575, 13356966503088, -227284196307984, 4085254725230514, -76911822855270819
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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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a(n) ~ n! * (-1)^n * n^(log(1+sqrt(2))-1) / GAMMA(log(1+sqrt(2))). - Vaclav Kotesovec, Oct 31 2013
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MATHEMATICA
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CoefficientList[Series[Exp[ArcSinh[x]*Log[x+1]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Oct 31 2013 *)
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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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STATUS
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approved
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