A091770 Poincaré series [or Poincare series] (or Molien series) for H^*(GL_4(F_2)).

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, 112, 127, 140, 150, 167, 184, 197, 218, 236, 252, 277, 298, 316, 345, 371, 391, 423, 454, 478, 513, 546, 576, 616, 653, 686, 731, 772, 808, 859, 906, 947, 1002, 1052, 1098, 1159, 1216

Offset

0,4

References

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

Links

Table of n, a(n) for n=0..60.

Formula

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)).

Prog

(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

Crossrefs

Sequence in context: A182713 A229626 A358088 * A032058 A241744 A308514

Adjacent sequences: A091767 A091768 A091769 * A091771 A091772 A091773

Keyword

nonn,easy

Author

N. J. A. Sloane, Mar 17 2004

Status

approved