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%I #10 Jul 19 2015 10:49:43
%S 1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,
%T 0,1,0,0,2,1,0,1,2,0,0,1,0,1,0,0,3,0,0,2,1,0,0,1,1,1,0,1,4,0,0,4,1,0,
%U 1,1,1,0,0,2,3,0,1,5,0,0,2,1,2,0,1,4,2,0,2,5,0,0,3,0,1,0,0,5,1,0,5,4,0,1,4,1,1,1,1,5,0,0,6,2,0,2,3,1,0,1,2,4,0,1,8,1,0,4,2,1,0,1,3,2,0,2,6,0,0,5,1,1,1,1
%N Expansion of the polynomial (1+x^3)*(1+x^15)*(1+x^23)*(1+x^27)*(1+x^35)*(1+x^39)*(1+x^47)*(1+x^59).
%C This is the Poincaré polynomial for the Lie group E_8.
%D Borel, A. and Chevalley, C., The Betti numbers of the exceptional groups, Mem. Amer. Math. Soc. 1955, no. 14, pp 1-9.
%Y Cf. A142724, A178600, A178602, A178580, A178651.
%K nonn,fini
%O 0,39
%A _N. J. A. Sloane_, Dec 24 2010
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