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%I #2 Mar 31 2012 10:22:05
%S 0,0,2,23,471,14189,597257,33501237,2415131467,217579283654,
%T 23953174092058,3163948015772640,493855720249671680,
%U 89925233867931779072,18892189483975198113792,4535777807395775857033216
%N A001044(n)-A134354(n).
%F a(n)=A001044(n)-A134354(n)
%t Table[Round[N[(n!)^2 - 2*Pi*n*E^(-2*n)*n^(2*n)]], {n, 1, 100}]
%Y Cf. A001044, A134354.
%K nonn
%O 1,3
%A _Artur Jasinski_, Oct 22 2007