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A012363
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arctanh(tan(x)*exp(x))=x+2/2!*x^2+7/3!*x^3+36/4!*x^4+285/5!*x^5...
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0
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0, 1, 2, 7, 36, 285, 2662, 30147, 395976, 5968505, 101054282, 1901962687, 39368308716, 889051951125, 21749632880302, 573017429752827, 16174993678778256, 487024011982108145, 15580632579831576722
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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)!/(2*r^n), where r = 0.5313908566521572... is the root of the equation tan(r)*exp(r)=1. - Vaclav Kotesovec, Oct 24 2013
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MATHEMATICA
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CoefficientList[Series[ArcTanh[Tan[x]*Exp[x]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Oct 24 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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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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