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A195978
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T(n,k) = Number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,1,3,4 for x=0,1,2,3,4.
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9
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1, 3, 3, 4, 9, 4, 5, 14, 14, 5, 9, 23, 24, 23, 9, 16, 43, 36, 36, 43, 16, 25, 78, 67, 67, 67, 78, 25, 39, 139, 134, 133, 133, 134, 139, 39, 64, 249, 240, 256, 244, 256, 240, 249, 64, 105, 450, 432, 455, 519, 519, 455, 432, 450, 105, 169, 815, 803, 931, 1072, 1280, 1072, 931
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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 3's, every 4 is next to 4 4's.
Table starts
...1...3....4....5....9....16....25.....39.....64.....105.....169......272
...3...9...14...23...43....78...139....249....450.....815....1475.....2674
...4..14...24...36...67...134...240....432....803....1501....2764.....5118
...5..23...36...67..133...256...455....931...1830....3565....7001....13872
...9..43...67..133..244...519..1072...2225...4456....9098...19066....39689
..16..78..134..256..519..1280..2718...5830..12799...28969...64536...144480
..25.139..240..455.1072..2718..5637..12823..30486...72042..166884...390514
..39.249..432..931.2225..5830.12823..32909..82310..202795..499687..1270420
..64.450..803.1830.4456.12799.30486..82310.212185..562730.1497281..4025955
.105.815.1501.3565.9098.28969.72042.202795.562730.1609756.4534710.12951901
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LINKS
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EXAMPLE
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Some solutions for n=6, k=4
..0..1..1..0....0..0..1..2....2..1..0..1....0..1..1..1....0..1..1..0
..1..1..1..1....0..0..1..1....1..1..0..1....1..1..0..0....0..1..1..1
..1..0..0..1....1..1..1..0....0..1..1..1....2..1..0..0....1..1..0..1
..2..1..1..1....1..1..1..1....0..1..1..0....2..1..0..0....1..1..0..1
..2..1..1..0....0..0..0..1....0..1..1..0....1..1..1..1....0..1..1..1
..1..0..1..1....0..0..0..1....1..2..2..1....0..0..1..2....0..1..1..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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