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A012041
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tanh(sin(arcsinh(x)))=x-4/3!*x^3+76/5!*x^5-3312/7!*x^7+255952/9!*x^9...
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1
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1, -4, 76, -3312, 255952, -30728512, 5281229760, -1228900532992, 371761489090816, -141763213277045760, 66504626862819552256, -37635004127910391803904, 25277676503178610861756416
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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 * (-1)^n * (2*n)! * n / r^(2*n), where r = sin(arcsinh(Pi/2)) = 0.9436207924237..., c = 0.79859796313... . - Vaclav Kotesovec, Feb 04 2015
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MATHEMATICA
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nn = 20; Table[(CoefficientList[Series[Tanh[Sin[ArcSinh[x]]], {x, 0, 2*nn+1}], x] * Range[0, 2*nn+1]!)[[n]], {n, 2, 2*nn, 2}] (* Vaclav Kotesovec, Feb 03 2015 *)
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CROSSREFS
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KEYWORD
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sign
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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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