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.

A360389 The orders of 4-transitive permutation groups.

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%I A360389 #11 Feb 19 2023 12:18:00
%S A360389 24,120,360,720,2520,5040,7920,20160,40320,95040,181440,362880,
%T A360389 1814400,3628800,10200960,19958400,39916800,239500800,244823040,
%U A360389 479001600,3113510400,6227020800,43589145600,87178291200,653837184000,1307674368000
%N A360389 The orders of 4-transitive permutation groups.
%C A360389 The 4-transitive permutation groups are either: 1) symmetric groups of degree k for k >= 4, with order k! = A000142(k); 2) alternating groups of degree k for k >= 6, with order k!/2 = A001710(k); or 3) Mathieu groups of degree 11, 12, 23, or 24, with order A001228(k), where k = 1, 2, 6, or 9 respectively.
%H A360389 Hal M. Switkay, <a href="/A360389/b360389.txt">Table of n, a(n) for n = 1..44</a>
%H A360389 Shreeram S. Abhyankar, <a href="https://doi.org/10.1090/S0273-0979-1992-00270-7">Galois Theory on the Line in Non-Zero Characteristic</a>, Bulletin of the AMS, 27 (1992), 68-133.
%Y A360389 Cf. A000142, A001228, A001710.
%K A360389 nonn
%O A360389 1,1
%A A360389 _Hal M. Switkay_, Feb 05 2023