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A003808
Order of simple Chevalley group A_3(q) (or D_3(q)), q = prime power.
1
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.
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
KEYWORD
nonn,easy
STATUS
approved