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A009043
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Expansion of cos(sin(x))/cos(x), even terms only.
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1
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1, 0, 4, 24, 848, 25792, 1491392, 106879616, 10504954112, 1298259085312, 200164547589120, 37466482286032896, 8382720548500262912, 2208241619066995294208, 676599830605856131694592
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OFFSET
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0,3
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..242
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FORMULA
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a(n) ~ (2*n)! * cos(1) * 4^(n+1) / Pi^(2*n+1). - Vaclav Kotesovec, Jan 22 2015
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MATHEMATICA
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nn = 20; Table[(CoefficientList[Series[Cos[Sin[x]]*Sec[x], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* Vaclav Kotesovec, Jan 22 2015 *)
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PROG
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(PARI) x='x+O('x^50); v=Vec(serlaplace(cos(sin(x))/cos(x))); vector(#v\2, n, v[2*n-1]) \\ G. C. Greubel, Jul 23 2018
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CROSSREFS
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Sequence in context: A196866 A326794 A223005 * A024251 A193484 A024252
Adjacent sequences: A009040 A009041 A009042 * A009044 A009045 A009046
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin
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EXTENSIONS
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Extended and signs tested Mar 15 1997 by Olivier Gérard.
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STATUS
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approved
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