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A013318
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arctanh(exp(x)-cos(x))=x+2/2!*x^2+3/3!*x^3+24/4!*x^4+165/5!*x^5...
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0
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0, 1, 2, 3, 24, 165, 1202, 12663, 149744, 1945065, 29307362, 489387723, 8915702664, 178036818765, 3852374482322, 89628609049983, 2235770536642784, 59498096957789265, 1681835781220294082
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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) ~ (n-1)! / (2 * r^n), where r = 0.60134676772581981740108057557172913327... is the root of the equation exp(r)-cos(r) = 1. - Vaclav Kotesovec, Feb 05 2015
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MATHEMATICA
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CoefficientList[Series[ArcTanh[E^x - Cos[x]], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Feb 05 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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