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 A157416 Length of maximal uncrossed cycle of knight moves on n X n board. 1
 0, 0, 0, 4, 8, 12, 24, 32, 42, 54 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS I had computed the values for n up to 8 long ago and reported them in a letter to the editor of the Journal of Recreational Mathematics 2 (1969), 155-157. The values for n=9 and n=10 are new, found using ZDDs. REFERENCES D. E. Knuth, Selected Papers on Fun and Games. CSLI, Stanford, CA, 2010. (CSLI Lecture Notes, vol. 192) LINKS EXAMPLE Lengths of longest uncrossed knight cycles on all sufficiently small rectangular boards m X n, with 3 <=m <= n: ......0...0...4...6...6...6...6..10 ..........4...6...8..10..12..14..16 ..............8..12..14..18..20..22 .................12..18..22..24..28 .....................24..26..32..36 .........................32..36..42 .............................42..50 .................................54 CROSSREFS Cf. A003192. Sequence in context: A014617 A239053 A272708 * A059992 A050570 A233341 Adjacent sequences:  A157413 A157414 A157415 * A157417 A157418 A157419 KEYWORD nonn,more,hard AUTHOR Don Knuth, Jun 24 2010 EXTENSIONS a(1)=a(2)=a(3)=0 prepended by Max Alekseyev, Jul 17 2011 STATUS approved

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