A178695 - OEIS

%I #9 Jul 19 2015 10:48:42

%S 1,0,0,1,0,1,0,1,1,1,1,1,2,1,2,2,3,2,3,2,4,3,3,4,4,5,3,6,4,6,4,6,6,6,

%T 5,6,7,5,7,5,8,5,7,5,7,6,5,6,6,6,4,6,4,6,3,5,4,4,3,3,4,2,3,2,3,2,2,1,

%U 2,1,1,1,1,1,0,1,0,1,0,0,1

%N Expansion of the polynomial (1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)*(1+x^11)*(1+x^13)*(1+x^15)*(1+x^17).

%C This is the Poincaré polynomial for the Lie group A_8.

%D Borel, A. and Chevalley, C., The Betti numbers of the exceptional groups, Mem. Amer. Math. Soc. 1955, no. 14, pp 1-9.

%t CoefficientList[Series[Times@@(1+x^Range[3,17,2]),{x,0,80}],x] (* _Harvey P. Dale_, Jul 14 2014 *)

%Y A row of A142724.

%K nonn,fini,full

%O 0,13

%A _N. J. A. Sloane_, Dec 25 2010