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A282481
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T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly two elements.
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7
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0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 18, 40, 18, 0, 0, 89, 483, 483, 89, 0, 0, 408, 4328, 8208, 4328, 408, 0, 0, 1754, 36425, 127603, 127603, 36425, 1754, 0, 0, 7528, 297210, 1905024, 3648818, 1905024, 297210, 7528, 0, 0, 31798, 2327123, 27253740, 97464193
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OFFSET
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1,8
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COMMENTS
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Table starts
.0.....0........0..........0.............0...............0..................0
.0.....0........5.........18............89.............408...............1754
.0.....5.......40........483..........4328...........36425.............297210
.0....18......483.......8208........127603.........1905024...........27253740
.0....89.....4328.....127603.......3648818........97464193.........2496089344
.0...408....36425....1905024......97464193......4672345728.......213243466320
.0..1754...297210...27253740....2496089344....213243466320.....17282935743792
.0..7528..2327123..376888612...61848450513...9416926688594...1356909122451366
.0.31798.17768964.5103365490.1496483484838.405614428281622.103825223863665136
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1)
k=2: [order 18]
k=3: [order 27]
k=4: [order 51]
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EXAMPLE
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Some solutions for n=4 k=4
..0..1..1..1. .1..0..0..1. .0..1..1..0. .1..0..1..0. .1..0..1..1
..1..1..0..0. .1..0..0..1. .0..0..0..1. .0..1..0..0. .1..1..0..0
..1..0..1..1. .1..1..0..0. .1..1..0..0. .0..1..1..1. .0..1..1..0
..1..1..0..0. .1..1..0..0. .1..1..1..0. .0..1..0..1. .1..1..0..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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