A003944 Order of simple Chevalley group B_8(q), q = prime power.
59980383884075203672726385914533642240000, 33903338948400079408255624011057141081545622145957207600005120000, 7084630453281025440882493116981310890142026281589018852388680249504694272000000000
Offset: 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
Programs
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Mathematica
b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 8], {q, Select[Range[4], PrimePowerQ]}] (* Amiram Eldar, Jul 11 2025 *)
Formula
Extensions
a(3) from Sean A. Irvine, Sep 22 2015