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A012596
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exp(arcsinh(x)*sin(x))=1+2/2!*x^2+4/4!*x^4-40/6!*x^6-688/8!*x^8...
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0
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1, 2, 4, -40, -688, 23968, -1134784, 188393088, -40676275968, 10688526352896, -3523678949366784, 1431294964438824960, -701609173130329731072, 408385401482058726547456
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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) ~ (-1)^(n+1) * sinh(1) * 2^(2*n) * n^(2*n-1) / exp(2*n+Pi*sinh(1)/2). - Vaclav Kotesovec, Oct 31 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[Exp[ArcSinh[x]*Sin[x]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Oct 31 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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STATUS
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approved
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