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.

A003846 Order of universal Chevalley group D_7(q), q = prime power.

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%I A003846 #20 Jun 24 2025 09:57:19
%S A003846 1691555775522928280469504000,
%T A003846 22941271269626791484963824552883153534976000,
%U A003846 5722569627753465177061732369386833143098255605760000000,3870897639595436240585697704315185546875000000000000000000000000
%N A003846 Order of universal Chevalley group D_7(q), q = prime power.
%D A003846 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 A003846 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 A003846 <a href="/index/Gre#groups">Index entries for sequences related to groups</a>.
%F A003846 a(n) = D(A000961(n+1),7) where D(q,n) is defined in A003830. - _Sean A. Irvine_, Sep 17 2015
%t A003846 d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}]; Table[d[q, 7], {q, Select[Range[12], PrimePowerQ]}] (* _Amiram Eldar_, Jun 24 2025 *)
%Y A003846 Cf. A000961, A003801, A003830, A003841, A003843, A003844, A003845, A003847.
%K A003846 nonn,easy
%O A003846 1,1
%A A003846 _N. J. A. Sloane_