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A188607
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T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally
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14
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2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 20, 144, 211, 144, 20, 33, 400, 847, 883, 400, 33, 54, 1089, 3282, 4914, 3354, 1089, 54, 88, 2916, 12405, 26723, 24711, 12529, 2916, 88, 143, 7744, 45860, 140617, 181626, 123984, 45705, 7744, 143, 232, 20449, 167525, 721597
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OFFSET
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1,1
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COMMENTS
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Table starts
...2.....4.......7.......12.........20..........33............54.............88
...4....16......49......144........400........1089..........2916...........7744
...7....49.....211......847.......3282.......12405.........45860.........167525
..12...144.....883.....4914......26723......140617........721597........3648942
..20...400....3354....24711.....181626.....1288734.......8951764.......61078115
..33..1089...12529...123984....1238275....11895711.....111888105.....1031943536
..54..2916...45705...602049....8077216...104225541....1318303126....16339159241
..88..7744..165506..2925040...52884231...919272280...15651179908...260970703443
.143.20449..595370.14100232..342253692..7996186202..182869043451..4096182114761
.232.53824.2135861.67998376.2219051847.69774651726.2144672066828.64567134345340
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LINKS
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EXAMPLE
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Some solutions for 5X3
..0..0..1....0..0..0....0..1..0....0..1..1....1..0..0....0..0..0....0..0..0
..0..1..0....0..0..0....0..0..1....0..0..0....0..0..0....0..1..0....1..0..1
..1..0..0....1..0..0....0..0..0....1..0..1....1..1..1....1..0..0....0..0..0
..0..0..1....1..1..1....1..1..1....1..0..0....0..0..0....0..0..1....1..1..1
..0..1..0....1..1..1....1..0..1....1..0..0....0..1..1....0..0..1....0..0..0
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CROSSREFS
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Row 1 and Column 1 are A000071(n+3)
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KEYWORD
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AUTHOR
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STATUS
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approved
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