A003808 Order of simple Chevalley group A_3(q) (or D_3(q)), q = prime power.

20160, 6065280, 987033600, 7254000000, 2317591180800, 34558531338240, 50759843097600, 2069665112592000, 12714519233969280, 1148120010326016000, 712975930219192320, 7568375355962524800

Offset

1,1

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=1..12.

Formula

a(n) = a(A000961(n+1),3) 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[#, 3] & /@ Select[Range[2, 20], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A145535 A190474 A109479 * A011786 A003801 A305186

Adjacent sequences: A003805 A003806 A003807 * A003809 A003810 A003811

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved