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A003805
Order of universal Chevalley group A_7 (q), q = prime power.
0
5348063769211699200, 961721214905722855895197286400, 78099458182389588115529148326215680000, 103044374585338670859375000000000000000000000, 170115000551935077294273059250893063598899496222720000, 770654129255561941216424578913668563609374922170066534400
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),7) where A(q,n) is defined in A003787. - Sean A. Irvine, Sep 18 2015
MATHEMATICA
f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}]; f[#, 7] & /@ Select[Range[2, 8], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)
CROSSREFS
Sequence in context: A219346 A246253 A003812 * A115530 A120317 A219283
KEYWORD
nonn,easy
EXTENSIONS
a(5)-a(6) from Sean A. Irvine, Sep 18 2015
STATUS
approved