A003794 Order of simple Chevalley group A_n (4).

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

Offset

0,2

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.

Links

Table of n, a(n) for n=0..8.

Formula

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

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 *)

Crossrefs

Sequence in context: A269762 A291912 A001460 * A275051 A068295 A177643

Adjacent sequences: A003791 A003792 A003793 * A003795 A003796 A003797

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

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

Status

approved