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.

A003791 Order of universal Chevalley group A_n (8).

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%I A003791 #28 Jul 08 2025 07:50:42
%S A003791 1,504,16482816,34558531338240,4638226007491010887680,
%T A003791 39841906041871272087686291128320,
%U A003791 21903309038581548352789123727634573903790080
%N A003791 Order of universal Chevalley group A_n (8).
%D A003791 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 A003791 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 A003791 <a href="/index/Gre#groups">Index entries for sequences related to groups</a>.
%F A003791 Numbers so far appear to equal A052496(n)/7. - _Ralf Stephan_, Mar 30 2004
%F A003791 a(n) = A(8,n) where A(q,n) is defined in A003787. - _Sean A. Irvine_, Sep 18 2015
%F A003791 a(n) ~ c * 8^(n*(n+2)), where c = (8/7) * A132036 = 0.982178279315... . - _Amiram Eldar_, Jul 07 2025
%t A003791 f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}]; f[8, #] & /@ Range[0, 6] (* _Michael De Vlieger_, Sep 18 2015 *)
%o A003791 (Magma) [&*[(8^n - 8^k): k in [0..n-1]]/7: n in [1..8]]; // _Vincenzo Librandi_, Sep 19 2015
%Y A003791 Cf. A003787, A003788, A003789, A003790, A003792, A052496, A132036.
%K A003791 nonn,easy
%O A003791 0,2
%A A003791 _N. J. A. Sloane_