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.

A014585 Number of Hamiltonian paths in a 5 X n grid starting in the lower left corner and ending in the lower right.

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%I A014585 #23 Jul 08 2025 05:40:58
%S A014585 0,0,1,4,23,86,397,1584,6820,28002,117852,488824,2043133,8502298,
%T A014585 35463855,147729456,615817511,2566065066,10694840588,44568760860,
%U A014585 185743671308,774073998864,3225960662493,13444082934608
%N A014585 Number of Hamiltonian paths in a 5 X n grid starting in the lower left corner and ending in the lower right.
%C A014585 The difference between A014584 and A014585 needs to be clarified. - _N. J. A. Sloane_, Feb 08 2013
%C A014585 The difference is that A014584 counts paths starting in the LL finishing in the UR. A014585 counts paths starting in the LL finishing the LR. - _Ruben Zilibowitz_, Jul 05 2015
%H A014585 K. L. Collins and L. B. Krompart, <a href="http://dx.doi.org/10.1016/0012-365X(95)00330-Y">The number of Hamiltonian paths in a rectangular grid</a>, Discrete Math. 169 (1997), 29-38.
%H A014585 <a href="/index/Gra#graphs">Index entries for sequences related to graphs, Hamiltonian</a>
%F A014585 The reference gives a generating function.
%Y A014585 Column 5 of A271592.
%Y A014585 Cf. A000532, A181689, A014584, A014524, A003778, A006865.
%K A014585 nonn
%O A014585 0,4
%A A014585 _N. J. A. Sloane_
%E A014585 Definition clarified by _Ruben Zilibowitz_, Jul 05 2015