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%I #22 Sep 08 2022 08:44:37
%S 1,0,0,0,12,-60,330,-2100,17024,-157248,1604520,-17875440,216589032,
%T -2838607200,40020882720,-603994154400,9715670780160,-165944432465280,
%U 2999458158459840,-57201489673372800,1147839380364481920
%N Expansion of e.g.f. cosh(x*log(1+x)).
%H G. C. Greubel, <a href="/A009136/b009136.txt">Table of n, a(n) for n = 0..250</a>
%F a(n) ~ (-1)^n * n! / 2. - _Vaclav Kotesovec_, Jul 28 2018
%t With[{nn=30}, CoefficientList[Series[Cosh[x*Log[1+x]], {x,0,nn}], x] Range[0,nn]!] (* _Harvey P. Dale_, Nov 03 2011 *)
%o (PARI) x='x+O('x^30); Vec(serlaplace(cosh(x*log(1+x)))) \\ _G. C. Greubel_, Jul 28 2018
%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cosh(x*Log(1+x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 28 2018
%K sign,easy
%O 0,5
%A _R. H. Hardin_
%E Extended with signs by _Olivier Gérard_, Mar 15 1997