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A197537
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T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,1,0,0 for x=0,1,2,3,4
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8
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1, 3, 3, 4, 9, 4, 5, 16, 16, 5, 9, 33, 56, 33, 9, 16, 73, 216, 216, 73, 16, 25, 160, 868, 1419, 868, 160, 25, 39, 361, 3500, 9373, 9373, 3500, 361, 39, 64, 835, 14085, 62586, 107655, 62586, 14085, 835, 64, 105, 1966, 56842, 423085, 1220630, 1220630, 423085, 56842
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OFFSET
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1,2
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COMMENTS
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Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0's
Table starts
...1....3......4.........5...........9............16..............25
...3....9.....16........33..........73...........160.............361
...4...16.....56.......216.........868..........3500...........14085
...5...33....216......1419........9373.........62586..........423085
...9...73....868......9373......107655.......1220630........14056707
..16..160...3500.....62586.....1220630......23325250.......454280983
..25..361..14085....423085....14056707.....454280983.....14991391782
..39..835..56842...2879723...162042137....8844380028....493785636151
..64.1966.229706..19671764..1874230689..172982554332..16343961543732
.105.4703.928664.134643523.21698542215.3386294190736.541269402906501
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LINKS
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EXAMPLE
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Some solutions containing all values 0 to 4 for n=6 k=4
..0..3..0..1....0..3..0..0....0..3..0..0....0..0..0..1....0..3..0..1
..0..0..3..2....0..0..4..0....3..0..4..0....3..0..3..2....3..0..3..2
..0..4..0..1....0..0..0..0....0..4..0..0....0..4..0..1....0..4..0..1
..0..0..3..2....1..3..0..0....3..0..3..0....0..0..3..1....0..0..3..1
..0..0..0..1....1..0..3..0....0..3..2..1....0..4..0..0....0..0..0..0
..0..0..0..1....2..1..2..1....0..0..1..2....0..0..3..0....1..1..1..1
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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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