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Poincaré series [or Poincare series] (or Molien series) for H^*(GL_4(F_2)).
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%I #8 May 01 2020 15:52:32

%S 1,0,1,2,2,3,6,7,8,10,12,17,20,22,29,33,35,43,52,56,65,74,80,92,103,

%T 112,127,140,150,167,184,197,218,236,252,277,298,316,345,371,391,423,

%U 454,478,513,546,576,616,653,686,731,772,808,859,906,947,1002,1052,1098,1159,1216

%N Poincaré series [or Poincare series] (or Molien series) for H^*(GL_4(F_2)).

%D A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer-Verlag, 2nd. ed., 2004; p. 211.

%F G.f.: (x+1)*(x^15 - x^14 + x^13 - x^12 + x^11 - x^9 + x^8 + x^7 + 2*x^6 + 2*x^4 - x^3 + 2*x^2 - x + 1) / ( (x^7 - 1)*(x^6 - 1)*(x^3-1)*(x^4-1)).

%o (PARI) Vec((x+1)*(x^15 - x^14 + x^13 - x^12 + x^11 - x^9 + x^8 + x^7 + 2*x^6 + 2*x^4 - x^3 + 2*x^2 - x + 1) / ( (x^7 - 1)*(x^6 - 1)*(x^3-1)*(x^4-1))+O(x^99)) \\ _Charles R Greathouse IV_, May 01 2020

%K nonn,easy

%O 0,4

%A _N. J. A. Sloane_, Mar 17 2004