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%I #13 Sep 19 2015 09:28:19
%S 1,60,20160,987033600,258492255436800,361310134959341568000,
%T 72736898347485916060188672000,78099458182389588115529148326215680000,
%U 447244452196213365088128369288351077766266880000
%N Order of simple Chevalley group A_n (4).
%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(4,n) 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[4, #] & /@ Range[0, 8] (* _Michael De Vlieger_, Sep 18 2015 *)
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
%E a(8) from _Sean A. Irvine_, Sep 18 2015
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