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A012043
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cosh(sin(arcsinh(x))) = 1+1/2!*x^2-7/4!*x^4+121/6!*x^6-4271/8!*x^8...
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0
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1, 1, -7, 121, -4271, 262801, -25257079, 3510517193, -667413187039, 166471455235489, -52750545434135399, 20700581434214572441, -9854557734715140280207, 5594838313934367657655601
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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) ~ (-1)^(n+1) * sin(sinh(Pi/2)) * cosh(Pi/2) * 2^(2*n) * n^(2*n-1) / exp(2*n). - Vaclav Kotesovec, Oct 30 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[Cosh[Sin[ArcSinh[x]]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Oct 30 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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