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%I #16 Sep 08 2022 08:44:37
%S 1,-1,0,1,0,3,-24,61,-256,1383,-5632,28345,-156032,808299,-4761600,
%T 28955317,-178225152,1188919631,-8081772544,56978370417,-422364381184,
%U 3196912985683,-25184814366720,205147130407981,-1713906141986816
%N Expansion of e.g.f. cos(x)/exp(sinh(x)).
%H G. C. Greubel, <a href="/A009113/b009113.txt">Table of n, a(n) for n = 0..250</a>
%t With[{nmax = 30}, CoefficientList[Series[Cos[x]/Exp[Sinh[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jul 26 2018 *)
%o (PARI) x='x+O('x^30); Vec(serlaplace(cos(x)/exp(sinh(x)))) \\ _G. C. Greubel_, Jul 26 2018
%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(x)/Exp(Sinh(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 26 2018
%K sign,easy
%O 0,6
%A _R. H. Hardin_
%E Extended with signs by _Olivier Gérard_, Mar 15 1997
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