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.

A360063 Triangle read by rows: T(m,n) is the number of Hamiltonian cycles in the graph whose nodes are the integer lattice points (x,y) with 0 <= x < m and 0 <= y < n, and with an edge between two nodes if there is no other integer lattice point on the line segment between them; 1 <= n <= m.

This page as a plain text file.
%I A360063 #14 Feb 18 2023 08:07:35
%S A360063 0,0,3,0,24,1152,0,354,436416,2595450592,0,8138,129422880
%N A360063 Triangle read by rows: T(m,n) is the number of Hamiltonian cycles in the graph whose nodes are the integer lattice points (x,y) with 0 <= x < m and 0 <= y < n, and with an edge between two nodes if there is no other integer lattice point on the line segment between them; 1 <= n <= m.
%C A360063 The graph represents tree-to-tree visibility in Euclid's orchard. It also appears in A247943, A247944, and A360062. Is there an established name for it?
%H A360063 Wikipedia, <a href="https://en.wikipedia.org/wiki/Euclid&#39;s_orchard">Euclid's orchard</a>.
%e A360063 Triangle begins:
%e A360063   m\n| 1    2         3          4  5
%e A360063   ---+-------------------------------
%e A360063   1  | 0
%e A360063   2  | 0    3
%e A360063   3  | 0   24      1152
%e A360063   4  | 0  354    436416 2595450592
%e A360063   5  | 0 8138 129422880          ?  ?
%Y A360063 Cf. A247943, A247944, A321172, A360062.
%K A360063 nonn,tabl,more
%O A360063 1,3
%A A360063 _Pontus von Brömssen_, Jan 24 2023