A003800 Order of universal Chevalley group A_2 (q), q = prime power.

168, 5616, 60480, 372000, 5630688, 16482816, 42456960, 212427600, 810534816, 4277145600, 6950204928, 16934047920, 78156525216, 152334000000, 282027786768, 499631102880, 851974934400, 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 A003787. - Sean A. Irvine, Sep 18 2015

Mathematica

f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}]; f[#, 2] & /@ Select[Range[2, 36], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A003807 A011785 A227433 * A278010 A006363 A271033

Adjacent sequences: A003797 A003798 A003799 * A003801 A003802 A003803

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved