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A012349
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cosh(arcsin(x)*arcsin(x))=1+12/4!*x^4+240/6!*x^6+11088/8!*x^8...
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0
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1, 0, 12, 240, 11088, 831360, 92908992, 14524194048, 3032137705728, 815977299898368, 275301139727035392, 113869459498923110400, 56685373204085048463360, 33442869828080671395840000
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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) ~ sqrt(Pi) * sinh(Pi^2/4) * (2*n)! / (2 * n^(3/2)). - Vaclav Kotesovec, Feb 08 2015
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MATHEMATICA
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nn = 20; Table[(CoefficientList[Series[Cosh[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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nonn
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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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