A003813 Order of simple Chevalley group A_8(q), q = prime power.

699612310033197642547200, 124190524600592082795473760093457612800, 447244452196213365088128369288351077766266880000, 78616578542037111790447631835937500000000000000000000000, 13191313011550511408913226688319815618147473583337425366223421440000

Offset

1,1

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=1..5.

Formula

a(n) = a(A000961(n+1),8) 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[#, 8] & /@ Select[Range[2, 7], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A008915 A280346 A217404 * A003806 A257374 A217422

Adjacent sequences: A003810 A003811 A003812 * A003814 A003815 A003816

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

a(5) from Sean A. Irvine, Sep 18 2015

Status

approved