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

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, 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