A003799 Order of simple Chevalley group A_n (9).

1, 360, 42456960, 50759843097600, 78660280796419613491200, 1234219157861100568481165377536000, 6274437692242927471137606015213542491815936000, 161481381212849029341257163594808056515516032931132866560000

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(9,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[9, #] & /@ Range[0, 7] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A156032 A295452 A330906 * A003930 A137607 A367792

Adjacent sequences: A003796 A003797 A003798 * A003800 A003801 A003802

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

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

Status

approved