

A009097


Expansion of e.g.f. cos(x)*cos(log(1+x)).


1



1, 0, 2, 3, 3, 10, 56, 315, 1971, 13788, 105246, 857615, 7266223, 61296222, 465353292, 1982748495, 36246192441, 1600097656520, 43901543199046, 1078930450441413, 25757481055625541, 615789512284527630
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OFFSET

0,3


LINKS



MATHEMATICA

With[{nn=30}, CoefficientList[Series[Cos[x]*Cos[Log[1+x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jun 24 2014 *)


PROG

(PARI) x='x+O('x^30); Vec(serlaplace(cos(x)*cos(log(1+x)))) \\ G. C. Greubel, Jul 26 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(x)*Cos(Log(1+x)))); [Factorial(n1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 26 2018


CROSSREFS



KEYWORD

sign,easy


AUTHOR



EXTENSIONS



STATUS

approved



