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A003806
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Order of universal Chevalley group A_8 (q), q = prime power.
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0
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699612310033197642547200, 124190524600592082795473760093457612800, 1341733356588640095264385107865053233298800640000, 78616578542037111790447631835937500000000000000000000000, 39573939034651534226739680064959446854442420750012276098670264320000
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OFFSET
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1,1
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REFERENCES
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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.
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LINKS
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FORMULA
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MATHEMATICA
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f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}]; f[#, 8] & /@ Select[Range[2, 7], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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