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A009059 Expansion of e.g.f. cos(sinh(x))/exp(x). 1

%I #20 Sep 08 2022 08:44:37

%S 1,-1,0,2,-8,24,-56,104,64,-1792,12672,-68608,309376,-1203840,2917888,

%T 5570816,-163782656,1636425728,-12716052480,86205304832,-495644917760,

%U 2289265803264,-4004259037184,-73881736609792,1359174582304768

%N Expansion of e.g.f. cos(sinh(x))/exp(x).

%H G. C. Greubel, <a href="/A009059/b009059.txt">Table of n, a(n) for n = 0..250</a>

%p seq(coeff(series(factorial(n)*cos(sinh(x))/exp(x), x,n+1),x,n),n=0..25); # _Muniru A Asiru_, Jul 24 2018

%t With[{nmax = 30}, CoefficientList[Series[Cos[Sinh[x]]/Exp[x], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jul 23 2018 *)

%o (PARI) x='x+O('x^30); Vec(serlaplace(cos(sinh(x))/exp(x))) \\ _G. C. Greubel_, Jul 23 2018

%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sinh(x))/Exp(x))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 23 2018

%K sign,easy

%O 0,4

%A _R. H. Hardin_

%E Extended with signs by _Olivier GĂ©rard_, Mar 15 1997

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Last modified October 3 17:52 EDT 2023. Contains 365870 sequences. (Running on oeis4.)