

A003799


Order of simple Chevalley group A_n (9).


0



1, 360, 42456960, 50759843097600, 78660280796419613491200, 1234219157861100568481165377536000, 6274437692242927471137606015213542491815936000, 161481381212849029341257163594808056515516032931132866560000
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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., SpringerVerlag, 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 A325882
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



