A009029 - OEIS

%I #17 Sep 08 2022 08:44:37

%S 1,0,-1,3,-22,100,-580,3150,-16868,80568,-141500,-4254580,105666112,

%T -1880236800,31074394312,-508890083520,8476622031888,-145412857677888,

%U 2584745973422384,-47756915743199760,918437313488897760

%N Expansion of cos(log(1+x)*cosh(x)).

%H G. C. Greubel, <a href="/A009029/b009029.txt">Table of n, a(n) for n = 0..250</a>

%t With[{nmax = 30}, CoefficientList[Series[Cos[Log[1 + x]*Cosh[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jul 22 2018 *)

%o (PARI) x='x+O('x^30); Vec(serlaplace(cos(log(1+x)*cosh(x)))) \\ _G. C. Greubel_, Jul 22 2018

%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Log(1+x)*Cosh(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 22 2018

%K sign,easy

%O 0,4

%A _R. H. Hardin_

%E Extended with signs by _Olivier Gérard_, Mar 15 1997