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A197280
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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 2,0,1,1,1 for x=0,1,2,3,4
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8
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1, 3, 3, 4, 9, 4, 5, 14, 14, 5, 9, 29, 34, 29, 9, 16, 67, 92, 92, 67, 16, 25, 134, 317, 627, 317, 134, 25, 39, 275, 888, 2731, 2731, 888, 275, 39, 64, 583, 2626, 11850, 16890, 11850, 2626, 583, 64, 105, 1210, 8078, 57137, 114205, 114205, 57137, 8078, 1210, 105, 169
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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 1's, every 4 is next to 4 1's
Table starts
...1....3.....4.......5.........9..........16...........25.............39
...3....9....14......29........67.........134..........275............583
...4...14....34......92.......317.........888.........2626...........8078
...5...29....92.....627......2731.......11850........57137.........276689
...9...67...317....2731.....16890......114205.......886737........6017949
..16..134...888...11850....114205.....1276986.....13500114......135563958
..25..275..2626...57137....886737....13500114....209785488.....3332948197
..39..583..8078..276689...6017949...135563958...3332948197....84453386767
..64.1210.24103.1344992..40918349..1464662469..55701159000..2019696975436
.105.2511.72107.6445595.290053910.15975572837.888511016495.47417406612765
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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..0..1....1..0..1..2....1..0..0..1....1..0..1..1....1..0..1..2
..1..4..1..1....1..1..4..1....3..1..3..1....3..1..1..0....1..1..4..1
..0..1..3..0....0..3..1..0....1..4..1..0....1..4..1..0....0..3..1..0
..0..3..1..0....0..1..1..0....0..1..3..0....0..1..3..1....0..1..3..1
..0..1..1..0....0..3..1..0....0..1..1..0....1..1..0..1....1..1..0..1
..1..2..2..1....0..1..1..0....1..2..2..1....2..1..0..1....2..1..0..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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