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A330529
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Number of quasi-magic (only long lines are magic) knight's tours on a 4 X 2n board.
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1
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OFFSET
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1,3
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COMMENTS
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A quasi-magic tour is a special type of semi-magic tour in which the non-magic lines add to only two different values. Such tours are of interest on boards where magic tours don't exist.
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LINKS
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G. P. Jelliss, Quasi-Magic Tours, The Games and Puzzles Journal #26, April-June 2003.
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EXAMPLE
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Example of 4 X 14 quasi-magic knight's tour. All long lines sum to 399 and the short lines sum to either 112 or 126.
3 52 19 40 1 50 21 42 13 48 23 30 11 46
18 39 2 51 20 41 14 49 22 29 12 47 24 31
53 4 37 16 55 6 35 28 43 8 33 26 45 10
38 17 54 5 36 15 56 7 34 27 44 9 32 25
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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STATUS
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approved
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