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%I #17 Jul 24 2018 11:49:52
%S 1,0,-12,240,-2352,-136320,15140928,-971093760,28387408128,
%T 4688909905920,-1262963768650752,191995869733662720,
%U -17544464368915034112,-1212607904700871311360,1171249187182930708021248
%N Expansion of e.g.f. cos(sin(x)^2), even terms only.
%H G. C. Greubel, <a href="/A009052/b009052.txt">Table of n, a(n) for n = 0..250</a>
%t With[{nmax = 60}, CoefficientList[Series[Cos[Sin[x]^2], {x, 0, nmax}], x]*Range[0, nmax]!][[1 ;; -1 ;; 2]] (* _G. C. Greubel_, Jul 23 2018~ *)
%o (PARI) x='x+O('x^50); v=Vec(serlaplace(cos(sin(x)^2))); vector(#v\2,n,v[2*n-1]) \\ _G. C. Greubel_, Jul 23 2018
%K sign
%O 0,3
%A _R. H. Hardin_
%E Extended with signs by _Olivier Gérard_, Mar 15 1997