A003790 Order of universal Chevalley group A_n (7).

1, 336, 5630688, 4635182361600, 187035198320488089600, 369826556020831611935738265600, 35832085525362833262818017603275320524800, 170115000551935077294273059250893063598899496222720000

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 [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.

Links

Table of n, a(n) for n=0..7.

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

N. J. A. Sloane

Extensions

a(7) from Sean A. Irvine, Sep 18 2015

Status

approved