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A013296
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tan(arctanh(x)-log(x+1)) = 1/2!*x^2 + 6/4!*x^4 + 150/6!*x^6 + 7560/8!*x^8...
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0
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0, 1, 6, 150, 7560, 642600, 82328400, 14799985200, 3550699152000, 1095489931536000, 422416533258720000, 199001229578030880000, 112442434205652270720000, 75042084306026165328000000
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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 * (2*n)! * exp(Pi*n) / (exp(Pi)-1)^(n+1). - Vaclav Kotesovec, Feb 06 2015
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MATHEMATICA
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nn = 20; Table[(CoefficientList[Series[Tan[ArcTanh[x] - Log[1 + 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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