A246577 - OEIS

%I #8 Oct 13 2017 21:37:40

%S 0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,1,-1,-3,-7,-10,-13,-16,-18,-18,-18,

%T -15,-11,-5,2,11,20,30,39,48,55,60,63,63,59,53,43,29,14,-5,-26,-47,

%U -69,-92,-111,-130,-146,-157,-164,-168,-163,-155,-141,-120,-94,-65,-28,10,51,95

%N G.f.: (Product_{r>=1} (1 - x^r))*x^(k^2)/Product_{i=1..k} ((1 - x^i)^2) 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.

%p fGL:=proc(k) local a,i,r;

%p a:=x^(k^2)/mul((1-x^i)^2,i=1..k);

%p a:=a*mul(1-x^r,r=1..101);

%p series(a,x,101);

%p seriestolist(%);

%p end;fGL(3);

%Y k=0 gives A010815. Cf. A246575-A246578.

%K sign

%O 0,12

%A _N. J. A. Sloane_, Aug 31 2014