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A012635
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sin(arcsinh(x)*cos(x))=x-5/3!*x^3+65/5!*x^5-2221/7!*x^7+119873/9!*x^9...
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0
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1, -5, 65, -2221, 119873, -9786229, 1171166529, -194493711517, 42939774236801, -12195226930738277, 4336542878659585857, -1888009822588324263693, 987916087242245073188545
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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 * cosh(Pi*cosh(1)/2) * cosh(1) * 2^(2*n+1) * n^(2*n) / exp(2*n). - Vaclav Kotesovec, Nov 01 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[Sin[ArcSinh[x]*Cos[x]], {x, 0, n}], {n, 1, 41, 2}] (* Vaclav Kotesovec, Nov 01 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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