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A003805 Order of universal Chevalley group A_7 (q), q = prime power. 0
5348063769211699200, 961721214905722855895197286400, 78099458182389588115529148326215680000, 103044374585338670859375000000000000000000000, 170115000551935077294273059250893063598899496222720000, 770654129255561941216424578913668563609374922170066534400 (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
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
AUTHOR
EXTENSIONS
a(5)-a(6) from Sean A. Irvine, Sep 18 2015
STATUS
approved

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)