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A012035
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sin(sin(arcsinh(x))) = x-3/3!*x^3+41/5!*x^5-1291/7!*x^7+73169/9!*x^9...
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0
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1, -3, 41, -1291, 73169, -6551251, 852920953, -152425617371, 35839758063521, -10733139641944739, 3990221478883366601, -1803635523024068325803, 974372554797510153337201
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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) ~ (-1)^n * 2^(2*n+1) * n^(2*n) * cosh(sinh(Pi/2)) * cosh(Pi/2) / exp(2*n). - Vaclav Kotesovec, Oct 30 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[Sin[Sin[ArcSinh[x]]], {x, 0, n}], {n, 1, 40, 2}] (* Vaclav Kotesovec, Oct 30 2013 *)
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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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