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A012350
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sec(arcsin(x)*arcsin(x))=1+12/4!*x^4+240/6!*x^6+17808/8!*x^8...
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0
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1, 0, 12, 240, 17808, 1637760, 242818752, 48180857088, 12774673068288, 4307001787772928, 1807577755864845312, 922535092598044569600, 562968743814613569146880, 404689929495830909079552000
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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) ~ 2 * cos(sqrt(Pi/2)) * (2*n)! / (sqrt(2*Pi) * sin(sqrt(Pi/2))^(2*n+1)). - Vaclav Kotesovec, Feb 08 2015
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MATHEMATICA
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nn = 20; Table[(CoefficientList[Series[Sec[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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