A003798 Order of simple Chevalley group A_n (8).

1, 504, 16482816, 34558531338240, 4638226007491010887680, 39841906041871272087686291128320, 3129044148368792621827017675376367700541440, 770654129255561941216424578913668563609374922170066534400

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

a(n) = a(8,n) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Mathematica

f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[8, #] & /@ Range[0, 7] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A278371 A278655 A068299 * A003791 A003925 A126846

Adjacent sequences: A003795 A003796 A003797 * A003799 A003800 A003801

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

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

Status

approved