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A009024
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Expansion of e.g.f.: x*cos(log(1+x)).
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6
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0, 1, 0, -3, 12, -50, 240, -1330, 8400, -59580, 468000, -4018300, 37237200, -367507400, 3802780800, -40373385000, 423927504000, -4048235126000, 25093796832000, 288695417426000, -18721925937000000, 623644389813900000
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n+3) = -a(n+2)*(2*n+1)*(n+3)/(n+2) - a(n+1)*(1+n^2)*(n+3)/(n+1), a(0)=0, a(1)=1, a(2)=0. - Sergei N. Gladkovskii, Aug 17 2012
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MATHEMATICA
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With[{nmax = 30}, CoefficientList[Series[x*Cos[Log[1 + 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); concat([0], Vec(serlaplace(x*cos(log(1+x))))) \\ G. C. Greubel, Jul 22 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:= [0] cat Coefficients(R!(x*Cos(Log(1+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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