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.

A180504 Number of Hamiltonian cycles in P_10 X P_n.

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%I A180504 #30 Jul 02 2025 01:00:47
%S A180504 0,1,16,1517,18684,1024028,17066492,681728204,13916993782,
%T A180504 467260456608,10754797724124,328076475659033,8091313110371792,
%U A180504 233977398720987284,6002042996016384360,168435972906750526954,4418118886987754341770,121913396076344218930045
%N A180504 Number of Hamiltonian cycles in P_10 X P_n.
%C A180504 The linear recurrence for this sequence has order 346. It is too large to be posted here.
%H A180504 Huaide Cheng, <a href="/A180504/b180504.txt">Table of n, a(n) for n = 1..700</a> (terms 1..100 from Andrew Howroyd)
%H A180504 Flow Problem, <a href="https://web.archive.org/web/20160719030522/http://flowproblem.ru/cycles/hamilton-cycles">Hamilton Cycles</a> (see Maple worksheet).
%H A180504 A. Kloczkowski and R. L. Jernigan, <a href="https://doi.org/10.1063/1.477128">Transfer matrix method for enumeration and generation of compact self-avoiding walks. I. Square lattices</a>, J. Chem. Phys., 109 (1998), 5134-5146. See Table IV, column m = 10.
%H A180504 <a href="/index/Gra#graphs">Index entries for sequences related to graphs, Hamiltonian</a>
%H A180504 <a href="/index/Rec#order_346">Index entries for linear recurrences with constant coefficients</a>, order 346.
%Y A180504 Row/column 10 of A321172.
%Y A180504 Cf. A160149.
%K A180504 nonn
%O A180504 1,3
%A A180504 _Artem M. Karavaev_, Sep 09 2010
%E A180504 a(16) onwards from _Andrew Howroyd_, Dec 13 2024