A178691 - OEIS

%I #9 Jul 19 2015 10:49:14

%S 1,0,0,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,2,2,2,3,1,3,2,3,1,3,2,2,2,1,3,1,

%T 2,1,2,1,1,1,1,1,0,1,0,1,0,0,1

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

%C This is the Poincaré polynomial for the Lie group A_6.

%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@@(x^Range[3,13,2]+1),{x,0,50}],x] (* _Harvey P. Dale_, Nov 30 2013 *)

%Y A row of A142724.

%K nonn,fini,full

%O 0,13

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