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Expansion of e.g.f. cos(tan(x)*sinh(x)), even powers only.
1

%I #22 Jul 25 2018 08:16:25

%S 1,0,-12,-360,-11312,-342720,1391808,3011648640,712998408448,

%T 151782346782720,33053467644945408,7470073537438955520,

%U 1689905119837405401088,334766606514085190615040,19605053176568811703615488,-43798309867240412782195998720

%N Expansion of e.g.f. cos(tan(x)*sinh(x)), even powers only.

%H G. C. Greubel, <a href="/A009079/b009079.txt">Table of n, a(n) for n = 0..239</a>

%p seq(coeff(series(factorial(n)*cos(tan(x)*sinh(x)), x,n+1),x,n),n=0..30,2); # _Muniru A Asiru_, Jul 25 2018

%t With[{nn=40},Take[CoefficientList[Series[Cos[Tan[x] Sinh[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Aug 23 2014 *)

%o (PARI) x='x+O('x^60); v=Vec(serlaplace(cos(tan(x)*sinh(x)))); vector(#v\2,n,v[2*n-1]) \\ _G. C. Greubel_, Jul 24 2018

%K sign

%O 0,3

%A _R. H. Hardin_

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

%E More terms from and prior Mathematica program replaced by _Harvey P. Dale_, Aug 23 2014