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A012615
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cos(arcsinh(x)*tan(x))=1-12/4!*x^4-120/6!*x^6-5040/8!*x^8...
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0
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1, 0, -12, -120, -5040, -35520, -10080576, 1291774848, -129155669760, 70025050601472, -12621771155397632, 7717419122045659136, -2918362206037173678080, 1928021073359516653240320, -1209535003923466323711246336, 977832736949625091059703971840
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..15.
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FORMULA
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a(n) ~ (-1)^(n+1) * sin(Pi*tanh(1)/2) * tanh(1) * 2^(2*n) * n^(2*n-1) / exp(2*n). - Vaclav Kotesovec, Oct 31 2013
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MATHEMATICA
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Table[n!*SeriesCoefficient[Cos[ArcSinh[x]*Tan[x]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Oct 31 2013 *)
With[{nn=30}, Take[CoefficientList[Series[Cos[ArcSinh[x]Tan[x]], {x, 0, nn}], x] Range[0, nn]!, {1, -1, 2}]]
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CROSSREFS
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Sequence in context: A009149 A010570 A012374 * A012559 A009164 A012436
Adjacent sequences: A012612 A012613 A012614 * A012616 A012617 A012618
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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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More terms from Harvey P. Dale, Dec 16 2017
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STATUS
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approved
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