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.
%I A234633 #29 Jun 14 2025 01:49:36
%S A234633 6,240,37584,15095808,12420864000,18233911296000,43492335022080000,
%T A234633 157551157218115584000,823642573772373884928000,
%U A234633 5970637844437187690496000000,58120324656942369834270720000000,739968068159742816891489484800000000
%N A234633 Numbers of directed Hamiltonian paths in the complete tripartite graph K_{n,n,n}.
%H A234633 Zlatko Damijanic, <a href="/A234633/b234633.txt">Table of n, a(n) for n = 1..200</a>
%H A234633 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CompleteTripartiteGraph.html">Complete Tripartite Graph</a>.
%H A234633 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HamiltonianPath.html">Hamiltonian Path</a>.
%F A234633 a(n) = n!^3 * A110706(n). - _Andrew Howroyd_, May 24 2017
%t A234633 Table[2 n!^3 (Binomial[2 n + 1, n + 1] HypergeometricPFQ[{1 - n, 1 - n, 1/2 - n/2, -(n/2)}, {1, -(1/2) - n, -n}, 1] + (n - 1) Binomial[2 n, n + 1] HypergeometricPFQ[{1 - n, 2 - n, 1/2 - n/2, 1 - n/2}, {2, 1/2 - n, -n}, 1]), {n, 10}] (* _Eric W. Weisstein_, May 26 2017 *)
%Y A234633 Cf. A234365, A234616, A110706.
%K A234633 nonn
%O A234633 1,1
%A A234633 _Eric W. Weisstein_, Dec 28 2013
%E A234633 a(7)-a(12) from _Andrew Howroyd_, May 24 2017