A003807 - OEIS

A003807

Order of simple Chevalley group A_2(q), q = prime power.

168, 5616, 20160, 372000, 1876896, 16482816, 42456960, 212427600, 270178272, 1425715200, 6950204928, 5644682640, 78156525216, 50778000000, 282027786768, 499631102880, 283991644800, 1098404364288

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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..18.

FORMULA

a(n) = a(A000961(n+1),2) 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[#, 2] & /@ Select[Range[2, 36], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

CROSSREFS

Cf. A000961.

Sequence in context: A231995 A223243 A282614 * A011785 A227433 A003800

Adjacent sequences: A003804 A003805 A003806 * A003808 A003809 A003810

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved