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A024264
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Expansion of tan(sin(x)^2)/2.
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3
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0, 1, -4, 136, -6784, 524416, -64036864, 10501374976, -2283962220544, 634741960278016, -218778649767706624, 91736006502034702336, -45959204407743090786304, 27112425203442398670094336, -18603328214677391682184413184, 14689562944237012958430694998016
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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) = (2*n)! * [x^(2*n)] tan(sin(x)^2)/2.
a(n) ~ (2*n)! * (-1)^(n+1) / (sqrt(Pi*(2+Pi)) * (log(sqrt(Pi/2) + sqrt(1 + Pi/2)))^(2*n+1)). - Vaclav Kotesovec, Feb 04 2015
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MATHEMATICA
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With[{nn=30}, Take[CoefficientList[Series[Tan[Sin[x]^2]/2, {x, 0, nn}], x] Range[0, nn]!, {1, -1, 2}]] (* Harvey P. Dale, Jan 30 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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EXTENSIONS
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Extended with signs Mar 1997
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STATUS
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approved
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