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A003813 Order of simple Chevalley group A_8(q), q = prime power. 0
699612310033197642547200, 124190524600592082795473760093457612800, 447244452196213365088128369288351077766266880000, 78616578542037111790447631835937500000000000000000000000, 13191313011550511408913226688319815618147473583337425366223421440000 (list; graph; refs; listen; history; text; internal format)
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, 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: A008871 A008915 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

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Last modified July 29 08:11 EDT 2016. Contains 275161 sequences.