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A012347
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tanh(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-112/6!*x^6-8832/8!*x^8...
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1
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0, 2, 8, -112, -8832, -269568, 18508800, 4584990720, 373223424000, -57291983093760, -29502109561651200, -4280300758758850560, 1571738277174218588160, 1306880625182819525591040
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) ~ sqrt(Pi) * (2*n)! / (n^(3/2) * (1 + cosh(Pi^2/2))). - Vaclav Kotesovec, Feb 08 2015
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MATHEMATICA
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nn = 20; Table[(CoefficientList[Series[Tanh[ArcSin[x]^2], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* Vaclav Kotesovec, Feb 08 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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EXTENSIONS
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STATUS
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approved
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