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.

A003792 Order of universal Chevalley group A_n (9).

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%I A003792 #28 Jul 08 2025 07:50:56
%S A003792 1,720,42456960,203039372390400,78660280796419613491200,
%T A003792 2468438315722201136962330755072000,
%U A003792 6274437692242927471137606015213542491815936000,1291851049702792234730057308758464452124128263449062932480000
%N A003792 Order of universal Chevalley group A_n (9).
%D A003792 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 A003792 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 A003792 <a href="/index/Gre#groups">Index entries for sequences related to groups</a>.
%F A003792 Numbers so far appear to equal A052497(n)/8. - _Ralf Stephan_, Mar 30 2004
%F A003792 a(n) = A(9,n) where A(q,n) is defined in A003787. - _Sean A. Irvine_, Sep 18 2015
%F A003792 a(n) ~ c * 9^(n*(n+2)), where c = (9/8) * A132037 = 0.9861303982904... . - _Amiram Eldar_, Jul 07 2025
%t A003792 f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}];
%t A003792 f[9, #] & /@ Range[0, 7] (* _Michael De Vlieger_, Sep 18 2015 *)
%o A003792 (Magma) [&*[(9^n - 9^k): k in [0..n-1]]/8: n in [1..10]]; // _Vincenzo Librandi_, Sep 19 2015
%Y A003792 Cf. A003787, A003788, A003789, A003790, A003791, A052497, A132037.
%K A003792 nonn,easy
%O A003792 0,2
%A A003792 _N. J. A. Sloane_
%E A003792 a(7) from _Sean A. Irvine_, Sep 18 2015