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%I #15 Jun 14 2024 22:31:08
%S 1,360,42456960,50759843097600,78660280796419613491200,
%T 1234219157861100568481165377536000,
%U 6274437692242927471137606015213542491815936000,161481381212849029341257163594808056515516032931132866560000
%N Order of simple Chevalley group A_n (9).
%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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], 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(9,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[9, #] & /@ Range[0, 7] (* _Michael De Vlieger_, Sep 18 2015 *)
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
%E a(7) from _Sean A. Irvine_, Sep 18 2015
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