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A014700
Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(5).
0
1, 5, 55, 251, 1160, 4075, 13503, 39025, 106385, 266303, 634523, 1423885, 3068221, 6319228, 12586625, 24192381, 45219809, 82110565, 145625490, 252124434, 427810236, 711268950, 1162164778, 1865955326
OFFSET
0,2
LINKS
A. Adem, Recent developments in the cohomology of finite groups, Notices Amer. Math. Soc., 44 (1997), 806-812.
Index entries for linear recurrences with constant coefficients, 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).
MAPLE
(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;
PROG
(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
CROSSREFS
Sequence in context: A292735 A057722 A078216 * A103326 A060558 A348065
KEYWORD
nonn,easy
AUTHOR
Alejandro Adem (adem(AT)math.wisc.edu)
STATUS
approved