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%I #13 Apr 19 2023 00:27:40
%S 1,5,55,251,1160,4075,13503,39025,106385,266303,634523,1423885,
%T 3068221,6319228,12586625,24192381,45219809,82110565,145625490,
%U 252124434,427810236,711268950,1162164778,1865955326
%N Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(5).
%H A. Adem, <a href="http://www.ams.org/notices/199707/adem.pdf">Recent developments in the cohomology of finite groups</a>, Notices Amer. Math. Soc., 44 (1997), 806-812.
%H <a href="/index/Rec#order_27">Index entries for linear recurrences with constant coefficients</a>, signature (3,9,-35,-30,186,22,-594,165,1265,-693,-1881,1452,1980,-1980,-1452,1881,693,-1265,-165,594,-22,-186,30,35,-9,-3,1).
%p (1+5*t+40*t^2+176*t^3+440*t^4+835*t^5+1423*t^6+1980*t^7+1980*t^8+1423*t^9+835*t^10+440*t^11+176*t^12+40*t^13+5*t^14+t^15)/(1-t^2)^15;
%o (PARI) Vec(Pol([1,5,40,176,440,835,1423,1980,1980,1423,835,440,176,40,5,1])/(1-x^2)^15+O(x^99)) \\ _Charles R Greathouse IV_, May 01 2020
%K nonn,easy
%O 0,2
%A Alejandro Adem (adem(AT)math.wisc.edu)
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