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A012738
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exp(arctanh(x)*cos(x)) = 1+x+1/2!*x^2-3/4!*x^4+45/6!*x^6+504/7!*x^7...
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0
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1, 1, 1, 0, -3, 0, 45, 504, 2457, 24384, 161625, 2375296, 20549397, 338479232, 3457938757, 64501554688, 772773915313, 16130341302272, 221864504883633, 5112670099460096, 79479234590193325, 2003580047549120512
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OFFSET
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0,5
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LINKS
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FORMULA
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a(n) ~ (n-1)! * (2*n)^(cos(1)/2) / GAMMA(cos(1)/2) * (1 - (-1)^n*cos(1)*sin(Pi*cos(1)/2)*(GAMMA(cos(1)/2))^2/(2*Pi*(2*n)^cos(1))). - Vaclav Kotesovec, Oct 24 2013
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MATHEMATICA
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CoefficientList[Series[Exp[ArcTanh[x]*Cos[x]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Oct 24 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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