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A009032
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Expansion of cos(log(1+x)/cos(x)).
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1
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1, 0, -1, 3, -22, 100, -700, 3990, -28628, 171288, -1025420, 1661660, 78215392, -2266954560, 46180065256, -873515610240, 16163533621648, -300558671466048, 5688054655288496, -109993409199908496, 2184633395323803360
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OFFSET
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0,4
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LINKS
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MATHEMATICA
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With[{nmax = 30}, CoefficientList[Series[Cos[Log[1 + x]/Cos[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 22 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(cos(log(1+x)/cos(x)))) \\ G. C. Greubel, Jul 22 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Log(1+x)/Cos(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 22 2018
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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