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A012530
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arctanh(sinh(x)*sin(x)) = 2/2!*x^2+232/6!*x^6+685472/10!*x^10...
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0
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2, 232, 685472, 11496925312, 641870470410752, 90115671250751137792, 26741121618547455928082432, 14898765702188922919730883100672, 14301272675149517137926114108443328512, 22156614594176569412220482693952524899581952
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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*(4*n+1)! / r^(4*n+2), where r = 1.00572817652562... is the root of the equation sinh(r)*sin(r) = 1. - Vaclav Kotesovec, Oct 24 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[ArcTanh[Sinh[x]*Sin[x]], {x, 0, n}], {n, 2, 40, 4}] (* Vaclav Kotesovec, Nov 02 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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