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%I #5 Aug 31 2014 20:34:58
%S 0,0,0,0,0,0,0,0,0,1,-1,2,-3,5,-7,11,-15,21,-29,39,-52,69,-90,116,
%T -150,190,-241,303,-379,470,-583,716,-878,1071,-1302,1575,-1902,2285,
%U -2739,3273,-3899,4631,-5489,6486,-7647,8996,-10557,12363,-14450,16853,-19618,22798,-26441
%N G.f.: x^(k^2)/(mul(1-x^(2*i),i=1..k)*mul(1+x^(2*r-1),r=1..oo)) with k=3.
%D Fulman, Jason. Random matrix theory over finite fields. Bull. Amer. Math. Soc. (N.S.) 39 (2002), no. 1, 51--85. MR1864086 (2002i:60012). See top of page 70, Eq. 2, with k=3.
%p fU:=proc(k) local a,i,r;
%p a:=x^(k^2)/mul(1-x^(2*i),i=1..k);
%p a:=a/mul(1+x^(2*r-1),r=1..101);
%p series(a,x,101);
%p seriestolist(%);
%p end;
%p fU(3);
%Y k=0,1,2 give (apart perhaps from signs) A081360, A038348, A096778. Cf. A246590.
%K sign
%O 0,12
%A _N. J. A. Sloane_, Aug 31 2014