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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.

A362823 Number of labeled magmas with n elements satisfying the identities (xy)y = x and (xy)z = (xz)y.

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%I A362823 #11 May 08 2023 15:33:32
%S A362823 1,1,4,22,976,19376,7680016,430723168,1489656111616,214815786486400,
%T A362823 6364561150037368576,2241692646969785651456,
%U A362823 566719960584895502028138496,471612192582034433034750951424,1008512943343839231897776246546624512,1936475539456937172034340659334701398016
%N A362823 Number of labeled magmas with n elements satisfying the identities (xy)y = x and (xy)z = (xz)y.
%C A362823 a(n) is the number of ordered n-tuples of involutions on [n] that pairwise commute. Two involutions x,y on [n] commute if x*y = y*x.
%H A362823 Andrew Howroyd, <a href="/A362823/b362823.txt">Table of n, a(n) for n = 0..50</a>
%Y A362823 Main diagonal of A362824.
%Y A362823 Cf. A362383, A362643, A362821, A362822 (isomorphism classes).
%K A362823 nonn
%O A362823 0,3
%A A362823 _Andrew Howroyd_, May 06 2023