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A012642
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arctanh(arcsinh(x)*cos(x))=x-2/3!*x^3-32/5!*x^5+152/7!*x^7+48448/9!*x^9...
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0
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1, -2, -32, 152, 48448, 289408, -393649024, -34249082624, 12871254335488, 2591959365570560, -694262452828553216, -534293242711984668672, 97599429997759939117056, 140451121892184627503628288
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internal format)
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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 * cosh(1) * 2^(2*n+3) * n^(2*n) / ((4+Pi^2*cosh(1)^2) * exp(2*n)). - Vaclav Kotesovec, Nov 01 2013
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MATHEMATICA
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With[{nn=30}, Take[CoefficientList[Series[ArcTanh[ArcSinh[x]Cos[x]], {x, 0, nn}], x]Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Oct 20 2012 *)
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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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