A003794 Order of simple Chevalley group A_n (4).

1, 60, 20160, 987033600, 258492255436800, 361310134959341568000, 72736898347485916060188672000, 78099458182389588115529148326215680000, 447244452196213365088128369288351077766266880000

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

References

• 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.
• H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

Programs

Mathematica

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 *)

Formula

a(n) = a(4,n) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Extensions

a(8) from Sean A. Irvine, Sep 18 2015