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A183289
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T(n,k) = Half the number of n X k binary arrays with the number of 1-1 horizontal, vertical, diagonal and antidiagonal adjacencies equal to the number of 0-0 adjacencies.
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6
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1, 1, 1, 1, 3, 1, 2, 6, 6, 2, 3, 18, 1, 18, 3, 6, 60, 180, 180, 60, 6, 10, 210, 116, 2184, 116, 210, 10, 20, 756, 8016, 28440, 28440, 8016, 756, 20, 35, 2772, 9746, 385316, 150979, 385316, 9746, 2772, 35, 70, 10296, 398126, 5358022, 20021342, 20021342, 5358022
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OFFSET
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1,5
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COMMENTS
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Table starts
..1.....1........1...........2..............3.................6
..1.....3........6..........18.............60...............210
..1.....6........1.........180............116..............8016
..2....18......180........2184..........28440............385316
..3....60......116.......28440.........150979..........20021342
..6...210.....8016......385316.......20021342........1085177164
.10...756.....9746.....5358022......174883800.......60444425412
.20..2772...398126....75912216....15784256016.....3432989914472
.35.10296...725872..1090973732...190371233229...197894482415760
.70.38610.20910204.15858156696.13214123612340.11543252431044600
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LINKS
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EXAMPLE
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All solutions for 3 X 3 with a(1,1)=0
..0..1..0
..1..0..1
..0..1..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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