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A012951
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tan(tan(x)+arcsin(x))=2*x+19/3!*x^3+777/5!*x^5+68913/7!*x^7...
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1
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2, 19, 777, 68913, 10552545, 2473498553, 822718602721, 368440852318193, 213728212488651073, 155891727584133609833, 139640409724657756366273, 150696011591407998679347809, 192838464530919232345949380513
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) ~ 2 * (2*n+1)! / ((1/sqrt(1-r^2) + 1/cos(r)^2) * r^(2*n+2)), where r = 0.6847459895634158528826803233486350363469025628718894198... is the root of the equation tan(r) + arcsin(r) = Pi/2. - Vaclav Kotesovec, Feb 07 2015
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MATHEMATICA
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With[{nn=30}, Take[CoefficientList[Series[Tan[Tan[x]+ArcSin[x]], {x, 0, nn}], x]Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Sep 16 2012 *)
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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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