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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.
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%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