A306281 Number of (undirected) Hamiltonian paths on the 6 X n knight graph.

0, 0, 0, 744, 18784, 3318960, 389969466, 24964893804, 1770631206422, 143827657320448, 10668015492137018, 763955912402146956, 55382275594728895388, 4008456113318585117624, 285329658478008271167456, 20203324505809248032547768, 1425847547641332606081597198, 100103728161914529291271962728

Offset

1,4

Links

Table of n, a(n) for n=1..18.

Eric Weisstein's World of Mathematics, Hamiltonian Path

Eric Weisstein's World of Mathematics, Knight Graph

Crossrefs

Cf. A169696 (3 X n), A079137 (4 X n), A083386 (5 X n), this sequence (6 X n), A306283 (7 X n), A308131 (n X n).

Sequence in context: A331674 A235252 A268891 * A210178 A192731 A288261

Adjacent sequences: A306278 A306279 A306280 * A306282 A306283 A306284

Keyword

nonn,changed

Author

Seiichi Manyama, Feb 03 2019

Extensions

a(8)-a(11) from Andrew Howroyd, Oct 14 2019

a(12) from Valentin Gubarev, Dec 23 2024

a(13)-a(18) from Andrew Howroyd, Dec 26 2024

Status

approved