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, 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