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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, 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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