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A199133
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T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and no element equal to any horizontal or vertical neighbor
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9
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1, 1, 1, 1, 2, 1, 3, 2, 2, 3, 6, 12, 6, 12, 6, 5, 30, 19, 19, 30, 5, 19, 30, 70, 258, 70, 30, 19, 37, 210, 264, 1409, 1409, 264, 210, 37, 29, 560, 1038, 2836, 11475, 2836, 1038, 560, 29, 124, 560, 4155, 48320, 33970, 33970, 48320, 4155, 560, 124, 240, 4200, 16896, 295092
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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........3.........6...........5............19..............37
...1....2.....2.......12........30..........30...........210.............560
...1....2.....6.......19........70.........264..........1038............4155
...3...12....19......258......1409........2836.........48320..........295092
...6...30....70.....1409.....11475.......33970........887966.........8181546
...5...30...264.....2836.....33970......438502.......5926852........82908094
..19..210..1038....48320....887966.....5926852.....358599045......7633754680
..37..560..4155...295092...8181546....82908094....7633754680....247746055048
..29..560.16896...629776..26354800..1187201812...56435001338...2782790788798
.124.4200.69584.11499816.739462036.17307138986.3718131446504.280882561003836
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LINKS
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EXAMPLE
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Some solutions for n=7 k=5
..0..1..0..1..0....0..1..0..1..0....0..1..0..1..0....0..1..0..1..0
..2..0..1..0..1....1..2..1..2..1....1..0..1..0..2....2..0..2..0..2
..0..1..0..1..2....0..1..2..0..2....2..1..0..2..1....0..1..0..2..0
..1..2..1..2..1....1..0..1..2..0....1..2..1..0..2....1..2..1..0..1
..2..0..2..0..2....0..1..0..1..2....2..1..0..2..0....2..1..2..1..2
..1..2..0..2..1....1..2..1..2..0....1..0..2..1..2....1..2..1..2..1
..0..1..2..0..2....2..0..2..0..2....0..2..0..2..1....0..1..2..0..2
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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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