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.

A307924 Number of (undirected) Hamiltonian cycles in the complete tripartite graph K_{n,n,n}.

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%I A307924 #15 Feb 19 2025 10:25:51
%S A307924 1,16,1584,463104,299289600,361552896000,732443959296000,
%T A307924 2305449150971904000,10654390419268829184000,
%U A307924 69202145783548005580800000,610152377325314475294720000000,7098963015274747190071787520000000,106459726394067298796772293345280000000,2017443502989317777418537171765166080000000
%N A307924 Number of (undirected) Hamiltonian cycles in the complete tripartite graph K_{n,n,n}.
%H A307924 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CompleteTripartiteGraph.html">Complete Tripartite Graph</a>
%H A307924 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HamiltonianCycle.html">Hamiltonian Cycle</a>
%F A307924 a(n) = A234365(n)/2.
%t A307924 Table[2^(n - 1) (n - 1)! (n!)^2 HypergeometricPFQ[{1/2 - n/2, -n/2, n}, {1, 1}, 1], {n, 20}] (* _Eric W. Weisstein_, Feb 19 2025 *)
%Y A307924 Cf. A234365.
%K A307924 nonn
%O A307924 1,2
%A A307924 _Eric W. Weisstein_, May 06 2019