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%I #18 Jun 14 2024 22:31:08
%S 9999360,237783237120,258492255436800,56653740000000000,
%T 187035198320488089600,4638226007491010887680,78660280796419613491200,
%U 9760263542825295931200000,539322992420959314658621440,78898131096541739561779200000
%N Order of universal Chevalley group A_4(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 [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(A000961(n+1),4) where A(q,n) is defined in A003787. - _Sean A. Irvine_, Sep 18 2015
%t f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}]; f[#, 4] & /@ Select[Range[2, 16], PrimePowerQ] (* _Michael De Vlieger_, Sep 18 2015 *)
%Y Different from A003809.
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_
%E More terms from _Sean A. Irvine_, Sep 18 2015