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A223000
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T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order
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8
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1, 1, 2, 2, 7, 5, 10, 45, 51, 14, 24, 272, 534, 391, 41, 72, 1814, 11114, 13655, 2894, 122, 168, 12742, 125907, 486262, 184475, 22491, 365, 664, 87682, 2889947, 18420655, 21692365, 4816824, 173099, 1094, 1632, 608358, 34120953, 713884175, 1388632315
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OFFSET
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1,3
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COMMENTS
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Table starts
.....1........1...........2............10.............24.............72
.....2........7..........45...........272...........1814..........12742
.....5.......51.........534.........11114.........125907........2889947
....14......391.......13655........486262.......18420655......713884175
....41.....2894......184475......21692365.....1388632315...182298485349
...122....22491.....4816824.....982879508...213770689590.47420968486333
...365...173099....67178532...45079248621.16612891441497
..1094..1351439..1775642951.2086133257739
..3281.10562301.25210032184
..9842.83067164
.29525
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..0..1..2..0....0..0..0..1....0..1..2..0....0..0..1..1....0..1..0..2
..0..0..2..0....2..1..0..2....0..1..2..1....1..2..0..2....0..2..0..1
..2..1..0..1....0..2..0..2....2..1..0..0....1..2..1..2....1..2..2..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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