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A012571
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Expansion of arcsin(sinh(x)*sinh(x)).
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2
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0, 2, 8, 152, 6848, 554912, 70690688, 13009484672, 3265063958528, 1071643508306432, 445538702940858368, 228823524775428872192, 142264706412727018078208, 105297877340452669962493952
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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) ~ (2*n)! / (2^(1/4) * sqrt(Pi) * n^(3/2) * (log(1+sqrt(2)))^(2*n-1/2)). - Vaclav Kotesovec, Feb 06 2015
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EXAMPLE
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arcsin(sinh(x)*sinh(x)) = 2/2!*x^2+8/4!*x^4+152/6!*x^6+6848/8!*x^8...
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MATHEMATICA
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With[{nn=30}, Take[CoefficientList[Series[ArcSin[Sinh[x]^2], {x, 0, nn}], x] Range[0, nn]!, {1, -1, 2}]] (* Harvey P. Dale, Dec 11 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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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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