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A009637
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Expansion of e.g.f.: tan(log(1+sin(x))).
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1
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0, 1, -1, 3, -14, 71, -466, 3553, -30904, 303821, -3318856, 39897503, -523448144, 7440769571, -113918718096, 1868810091853, -32702430873984, 608043493983321, -11970695844343936, 248764988012724603, -5441743349749959424
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) ~ (-1)^(n+1) * n! / (sqrt(2*exp(Pi/2)-1) * (arcsin(1-exp(-Pi/2)))^(n+1)). - Vaclav Kotesovec, Feb 02 2015
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[Tan[Log[1+Sin[x]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Dec 09 2014 *)
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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EXTENSIONS
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Definition clarified and prior Mathematica program replaced by Harvey P. Dale, Dec 09 2014
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STATUS
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approved
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