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A012750
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exp(arctanh(x)*sinh(x)) = 1+2/2!*x^2+24/4!*x^4+670/6!*x^6+34664/8!*x^8...
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0
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1, 2, 24, 670, 34664, 2889898, 355793636, 60839374622, 13810040271408, 4019737531147986, 1460034627147106108, 647382654230985522694, 344160751932393939417288, 216083913094173247176675386
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ 2 * (2*n-1)! * (4*n)^(sinh(1)/2) / GAMMA(sinh(1)/2). - Vaclav Kotesovec, Oct 24 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[Exp[ArcTanh[x]*Sinh[x]], {x, 0, n}], {n, 0, 40, 2}] (* 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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STATUS
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approved
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