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A012330
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tan(arcsin(x)*sin(x))=2/2!*x^2+280/6!*x^6+1344/8!*x^8+770848/10!*x^10...
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1
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0, 2, 0, 280, 1344, 770848, 24428800, 11463637120, 1147515615232, 574163022303744, 126865257434619904, 74474679925545302016, 29259293718147520839680, 21004159848539137867063296
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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) ~ c * (2*n)! / n^(3/2), where c = sin(1)/(sqrt(Pi)*(1 + cos(Pi*sin(1)))) = 3.9081600321945... . - Vaclav Kotesovec, Feb 29 2016
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MATHEMATICA
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nn = 20; Table[(CoefficientList[Series[Tan[ArcSin[x]*Sin[x]], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* Vaclav Kotesovec, Feb 06 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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EXTENSIONS
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STATUS
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approved
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