cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A003942 Order of simple Chevalley group B_6(q), q = prime power.

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%I A003942 #18 Jun 23 2025 02:46:15
%S A003942 208114637736580743168000,7197966128645938515382156481789952000,
%T A003942 85278137430613949474674174708223909560320000000,
%U A003942 1585539968089882234636505126953125000000000000000000000
%N A003942 Order of simple Chevalley group B_6(q), q = prime power.
%D A003942 H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.
%D A003942 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 A003942 <a href="/index/Gre#groups">Index entries for sequences related to groups</a>.
%F A003942 a(n) = b(A000961(n + 1), 6) where b(q,n) is defined in A003927. - _Sean A. Irvine_, Sep 22 2015
%t A003942 b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 6], {q, Select[Range[10], PrimePowerQ]}] (* _Amiram Eldar_, Jun 23 2025 *)
%Y A003942 Cf. A000961, A003927, A003938, A003939, A003940, A003941.
%K A003942 nonn,easy
%O A003942 1,1
%A A003942 _N. J. A. Sloane_