A003939 Order of simple Chevalley group B_3(q), q = prime power.

1451520, 4585351680, 4106059776000, 228501000000000, 273457218604953600, 9077005607176765440, 54025731402499584000, 3669292720793456064000, 122796979335906113871360, 19266960106724096212992000

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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

• Index entries for sequences related to groups.

Crossrefs

Cf. A000961, A003927, A003938, A003940, A003941, A003942.

Programs

Mathematica

b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 3], {q, Select[Range[30], PrimePowerQ]}] (* Amiram Eldar, Jun 23 2025 *)

Formula

a(n) = b(A000961(n + 1), 3) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015