A014700 Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(5).

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

Table of n, a(n) for n=0..23.

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

Adjacent sequences: A014697 A014698 A014699 * A014701 A014702 A014703

Keyword

nonn,easy

Author

Alejandro Adem (adem(AT)math.wisc.edu)

Status

approved