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A013099
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arctanh(arcsinh(x)+tan(x)) = 2*x+17/3!*x^3+873/5!*x^5+110127/7!*x^7...
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0
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2, 17, 873, 110127, 25968897, 9837102007, 5465752395569, 4187179894797967, 4229947817463760257, 5448264281798198909031, 8714522311726067909334321, 16946786732387040593899895551
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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*n)! / r^(2*n+1), where r = 0.48741523182648... is the root of the equation log(sqrt(r^2+1)-r) = tan(r)-1. - Vaclav Kotesovec, Oct 24 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[ArcTanh[ArcSinh[x]+Tan[x]], {x, 0, n}], {n, 1, 41, 2}] (* Vaclav Kotesovec, Oct 24 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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STATUS
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approved
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