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 A003790 Order of universal Chevalley group A_n (7). 3
 1, 336, 5630688, 4635182361600, 187035198320488089600, 369826556020831611935738265600, 35832085525362833262818017603275320524800, 170115000551935077294273059250893063598899496222720000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 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 Numbers so far appear to equal A053293(n)/6. - Ralf Stephan, Mar 30 2004 a(n) = A(7,n) 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, #] & /@ Range[0, 7] (* Michael De Vlieger, Sep 18 2015 *) PROG (MAGMA) [&*[(7^n - 7^k): k in [0..n-1]]/6: n in [1..10]]; // Vincenzo Librandi, Sep 19 2015 CROSSREFS Sequence in context: A289346 A008693 A068298 * A003924 A273529 A153164 Adjacent sequences:  A003787 A003788 A003789 * A003791 A003792 A003793 KEYWORD nonn,easy AUTHOR EXTENSIONS a(7) from Sean A. Irvine, Sep 18 2015 STATUS approved

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Last modified April 21 17:36 EDT 2021. Contains 343156 sequences. (Running on oeis4.)