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A003799
Order of simple Chevalley group A_n (9).
0
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 [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(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
KEYWORD
nonn,easy
EXTENSIONS
a(7) from Sean A. Irvine, Sep 18 2015
STATUS
approved