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A198185
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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 0,2,1,0,0 for x=0,1,2,3,4
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8
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1, 0, 0, 1, 4, 1, 2, 3, 3, 2, 1, 8, 9, 8, 1, 1, 16, 25, 25, 16, 1, 3, 21, 77, 59, 77, 21, 3, 3, 56, 148, 331, 331, 148, 56, 3, 2, 70, 395, 883, 2033, 883, 395, 70, 2, 4, 171, 866, 3485, 8298, 8298, 3485, 866, 171, 4, 6, 256, 2346, 12030, 48958, 51688, 48958, 12030, 2346, 256, 6
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OFFSET
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1,5
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COMMENTS
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Every 0 is next to 0 0's, every 1 is next to 1 2'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...0....1......2.......1.........1..........3............3.............2
.0...4....3......8......16........21.........56...........70...........171
.1...3....9.....25......77.......148........395..........866..........2346
.2...8...25.....59.....331.......883.......3485........12030.........43774
.1..16...77....331....2033......8298......48958.......216307.......1155412
.1..21..148....883....8298.....51688.....395340......2639341......19059216
.3..56..395...3485...48958....395340....4522496.....41084248.....441157382
.3..70..866..12030..216307...2639341...41084248....559601114....8186901838
.2.171.2346..43774.1155412..19059216..441157382...8186901838..174674654015
.4.256.5663.155664.5522239.135044844.4292509761.115542567852.3432842252818
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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
..2..1..1..0....2..1..0..1....0..1..1..2....0..3..0..1....0..1..2..1
..1..0..2..1....1..0..3..2....1..2..0..1....3..0..3..2....3..0..3..0
..0..4..0..1....0..4..0..1....1..0..4..0....0..4..0..1....0..4..0..3
..3..0..1..2....3..0..3..1....2..1..0..3....3..0..3..0....1..0..4..0
..0..1..1..2....0..3..0..2....2..1..1..0....0..1..1..2....2..3..0..3
..1..2..0..1....1..2..1..1....1..0..2..1....1..2..0..1....1..0..3..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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