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, 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