|
%I #17 Sep 19 2015 09:27:29
%S 20160,6065280,987033600,7254000000,2317591180800,34558531338240,
%T 50759843097600,2069665112592000,12714519233969280,
%U 1148120010326016000,712975930219192320,7568375355962524800
%N Order of simple Chevalley group A_3(q) (or D_3(q)), q = prime power.
%D J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985, p. xvi.
%D H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.
%F a(n) = a(A000961(n+1),3) where a(q,n) is defined in A003793. - _Sean A. Irvine_, Sep 18 2015
%t f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[#, 3] & /@ Select[Range[2, 20], PrimePowerQ] (* _Michael De Vlieger_, Sep 18 2015 *)
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_
|
