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Expansion of cos(sin(x))/exp(x).
2

%I #19 Sep 08 2022 08:44:37

%S 1,-1,0,2,0,-16,24,104,-256,-1600,5632,29952,-156032,-644736,4761600,

%T 18383616,-178225152,-645554176,8081772544,25645936640,-422364381184,

%U -1160636121088,25184814366720,60217271582720,-1713906141986816

%N Expansion of cos(sin(x))/exp(x).

%H G. C. Greubel, <a href="/A009045/b009045.txt">Table of n, a(n) for n = 0..250</a>

%t With[{nn=30},CoefficientList[Series[Cos[Sin[x]]/Exp[x],{x,0,nn}],x]Range[0,nn]!] (* _Harvey P. Dale_, Dec 31 2012 *)

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

%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sin(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 Gérard_, Mar 15 1997