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A003813
Order of simple Chevalley group A_8(q), q = prime power.
0
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.
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
KEYWORD
nonn,easy
EXTENSIONS
a(5) from Sean A. Irvine, Sep 18 2015
STATUS
approved