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A012637
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tan(arcsinh(x)*cos(x))=x-2/3!*x^3-40/5!*x^5+824/7!*x^7+34880/9!*x^9...
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0
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1, -2, -40, 824, 34880, -3510784, -105236352, 50170105088, -740139765760, -1822790066204672, 239991990818783232, 116554901577925656576, -41369324496338787860480, -15006195846954859719360512
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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(1) * 2^(2*n+2) * n^(2*n) / ((cosh(Pi*cosh(1))+1) * exp(2*n)). - Vaclav Kotesovec, Nov 01 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[Tan[ArcSinh[x]*Cos[x]], {x, 0, n}], {n, 1, 41, 2}] (* Vaclav Kotesovec, Nov 01 2013 *)
With[{nn=30}, Take[CoefficientList[Series[Tan[ArcSinh[x]Cos[x]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Sep 05 2015 *)
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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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