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A012709
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exp(arctanh(x)*exp(x))=1+x+3/2!*x^2+12/3!*x^3+57/4!*x^4+340/5!*x^5...
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1
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1, 1, 3, 12, 57, 340, 2305, 18186, 158977, 1560840, 16695553, 196272142, 2483596577, 34036624700, 497515462561, 7792454528002, 129248702613505, 2278494692749840, 42291311707716609, 828953188249846678
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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*n)^(exp(1)/2) / GAMMA(exp(1)/2). - Vaclav Kotesovec, Oct 24 2013
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[Exp[ArcTanh[x]Exp[x]], {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Jan 14 2012 *)
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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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STATUS
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approved
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