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A012011
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arcsinh(sin(sin(x)))=x-3/3!*x^3+41/5!*x^5-1515/7!*x^7+113489/9!*x^9...
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1
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1, -3, 41, -1515, 113489, -14321299, 2716798969, -721988679547, 255890614389921, -116619928299347491, 66439023428917759945, -46262911349611152912395, 38656874720522348065089521
(list;
graph;
refs;
listen;
history;
text;
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 * c * d^(2*n) * (2*n)! / sqrt(n), where d = 1 / arcsinh(arcsinh(1)) = 1.25792845770279367616342387910366384..., c = 0.8688030872074338111899369246534915... . - Vaclav Kotesovec, Feb 03 2015
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MATHEMATICA
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Take[Rest[With[{nn=25}, CoefficientList[Series[ArcSinh[Sin[Sin[x]]], {x, 0, nn}], x]Range[0, nn]!]], {1, -1, 2}] (* Harvey P. Dale, Oct 21 2011 *)
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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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EXTENSIONS
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Confirmed by Harvey P. Dale, Oct 21 2011
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STATUS
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approved
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