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A329483
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Number of quasi-magic (only short lines are magic) knight's tours on a 4 X 2n board.
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4
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0, 0, 0, 4, 12, 28, 136, 488, 2624, 12420, 64120, 313584, 1675648, 8536072
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OFFSET
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1,4
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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 short lines sum to 114 and the long lines sum to 397 and 401, that is, 399 +- 2.
3 56 25 32 5 52 21 36 9 48 11 40 15 44
26 29 4 53 24 33 8 49 20 37 18 43 12 41
55 2 31 28 51 6 35 22 47 10 39 14 45 16
30 27 54 1 34 23 50 7 38 19 46 17 42 13
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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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