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.

A003837 Order of (usually) simple Chevalley group D_n (3).

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%I A003837 #16 Jun 24 2025 11:03:39
%S A003837 1,144,6065280,4952179814400,1289512799941305139200,
%T A003837 6762844700608770238252960972800,
%U A003837 11470635634813395742481912276441576767488000,393736985584514548835738283681336315795223487793070080000
%N A003837 Order of (usually) simple Chevalley group D_n (3).
%D A003837 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.
%D A003837 H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.
%H A003837 <a href="/index/Gre#groups">Index entries for sequences related to groups</a>.
%F A003837 a(n) = d(3,n) where d(q,n) = D(q,n) / gcd(4, q^n-1) and D(q,n) as defined in A003830. - _Sean A. Irvine_, Sep 17 2015
%t A003837 d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}] / GCD[4, q^n-1]; Table[d[3, n], {n, 1, 8}] (* _Amiram Eldar_, Jun 24 2025 *)
%Y A003837 Cf. A003830, A003838, A003839, A003840.
%K A003837 nonn,easy
%O A003837 1,2
%A A003837 _N. J. A. Sloane_
%E A003837 Fixed offset, one more term, and formula from _Sean A. Irvine_, Sep 17 2015