%I #9 Sep 26 2012 04:23:11
%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,0,1,0,-1,0,0,-1,-1,1,0,-1,1,2,-1,0,3,0,-2,1,1,-3,-1,2,-1,-3,1,1,-2,
%U 0,3,0,-1,2,1,-1,0,1,-1,-1,0,0,-1,0,1
%N Expansion of the polynomial x^36*(x^12-1)*(x^9-1)*(x^8-1)*(x^6-1)*(x^5-1)*(x^2-1) in increasing powers of x.
%C q^36*(q^12-1)*(q^9-1)*(q^8-1)*(q^6-1)*(q^5-1)*(q^2-1) is the order of the simple group E_6(q), if q is a prime power.
%D R. L. Griess, Jr., Twelve Sporadic Groups, Springer, 1998; see p. 169.
%Y Cf. A008871, A178779, A178781, A178795.
%K sign,fini,full,easy
%O 0,48
%A _N. J. A. Sloane_, Dec 26 2010