A014584 - OEIS

A014584

Number of Hamiltonian paths in a 5 X n grid starting at the lower left corner and finishing in the upper right corner.

0, 1, 1, 8, 20, 104, 378, 1670, 6706, 28417, 117204, 490865, 2039569, 8512474, 35444636, 147780722, 615715196, 2566325356, 10694300534, 44570089963, 185740837148, 774080813649, 3225945847829, 13444117980220, 56028001091944, 233495908297044, 973089296878098, 4055332929187618, 16900521902518438

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OFFSET

0,4

COMMENTS

The difference between A014584 and A014585 needs to be clarified. - N. J. A. Sloane, Feb 08 2013

The difference is that this sequence counts Hamiltonian paths that start in the lower left corner and end in the upper right. A014585 counts Hamiltonian paths that start in the lower left and finish in the lower right. - Ruben Zilibowitz, Jul 05 2015

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

K. L. Collins and L. B. Krompart, The number of Hamiltonian paths in a rectangular grid, Discrete Math. 169 (1997), 29-38.

Index entries for sequences related to graphs, Hamiltonian

FORMULA

The reference gives a generating function.

CROSSREFS

Row n=5 of A333580.

Cf. A014585.

Sequence in context: A007016 A129550 A215181 * A074472 A175429 A297639

Adjacent sequences: A014581 A014582 A014583 * A014585 A014586 A014587

KEYWORD