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A012592
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arctanh(arcsinh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3+24/4!*x^4+188/5!*x^5...
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0
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0, 1, 2, 4, 24, 188, 1480, 14824, 182784, 2495632, 37988128, 649646336, 12226037120, 250202750016, 5549572352896, 132663174885760, 3396998634659840, 92768709569362176, 2691992696956801536
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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 = 0.58583517631744956... is the root of the equation exp(2*exp(-r)) - 2*r*exp(exp(-r)) = 1. - Vaclav Kotesovec, Oct 24 2013
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MATHEMATICA
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CoefficientList[Series[ArcTanh[ArcSinh[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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