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A198285
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T(n,k)=Number of 2nX2k 0..2 arrays with values 0..2 introduced in row major order and each element equal to exactly two horizontal and vertical neighbors
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8
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1, 1, 1, 2, 4, 2, 4, 14, 14, 4, 8, 52, 100, 52, 8, 16, 190, 662, 662, 190, 16, 32, 700, 4588, 8784, 4588, 700, 32, 64, 2574, 31718, 112750, 112750, 31718, 2574, 64, 128, 9476, 219060, 1478756, 2823604, 1478756, 219060, 9476, 128, 256, 34878, 1516006
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OFFSET
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1,4
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COMMENTS
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Table starts
...1......1........2..........4...........8...........16...........32
...1......4.......14.........52.........190..........700.........2574
...2.....14......100........662........4588........31718.......219060
...4.....52......662.......8784......112750......1478756.....19399132
...8....190.....4588.....112750.....2823604.....70004726...1748785516
..16....700....31718....1478756....70004726...3337609528.158791292898
..32...2574...219060...19399132..1748785516.158791292898
..64...9476..1516006..254611868.43705413710
.128..34878.10490668.3341562350
.256.128396.72598710
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LINKS
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EXAMPLE
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Some solutions for n=5 k=3
..0..0..1..1..0..0....0..0..1..1..1..1....0..0..1..1..2..2....0..0..1..1..2..2
..0..0..1..1..0..0....0..0..1..2..2..1....0..0..1..1..2..2....0..0..1..1..2..2
..1..1..2..2..2..2....2..2..1..2..2..1....2..2..2..2..1..1....2..2..0..0..0..0
..1..1..2..1..1..2....2..2..1..1..1..1....2..0..0..2..1..1....2..2..0..2..2..0
..0..0..2..1..1..2....1..1..2..2..2..2....2..0..0..2..0..0....1..1..0..2..2..0
..0..0..2..0..0..2....1..1..2..1..1..2....2..2..2..2..0..0....1..1..0..0..0..0
..1..1..2..0..0..2....0..0..2..1..1..2....1..1..0..0..2..2....2..2..1..1..2..2
..1..1..2..2..2..2....0..0..2..2..2..2....1..1..0..0..2..2....2..2..1..1..2..2
..2..2..1..1..0..0....1..1..0..0..1..1....0..0..1..1..0..0....1..1..0..0..1..1
..2..2..1..1..0..0....1..1..0..0..1..1....0..0..1..1..0..0....1..1..0..0..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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