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A012159
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E.g.f.: exp(tan(arcsinh(x))).
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2
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1, 1, 1, 2, 5, 16, 61, 216, 937, 6400, 41881, 125696, 259181, 18156672, 225924245, -930421504, -25529526319, 394852151296, 8376428366257, -97538559528960, -2542034772205739, 37824762737852416
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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) ~ 4*n^(n-1) * sin(n*Pi/2 - tanh(Pi/2)) / (exp(n)*(1+cosh(Pi))). - Vaclav Kotesovec, Oct 30 2013
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EXAMPLE
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exp(tan(arcsinh(x))) = 1 +x +1/2!*x^2 +2/3!*x^3 +5/4!*x^4 +16/5!*x^5 ...
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MATHEMATICA
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With[{nn=30}, CoefficientList[Series[Exp[Tan[ArcSinh[x]]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Oct 05 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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EXTENSIONS
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STATUS
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approved
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