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A196485
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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 3,0,2,1,4 for x=0,1,2,3,4
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8
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1, 3, 3, 4, 6, 4, 5, 14, 14, 5, 8, 36, 40, 36, 8, 12, 83, 147, 147, 83, 12, 17, 192, 457, 826, 457, 192, 17, 25, 468, 1554, 4344, 4344, 1554, 468, 25, 37, 1112, 5370, 23930, 40221, 23930, 5370, 1112, 37, 54, 2624, 17678, 131650, 374645, 374645, 131650, 17678, 2624
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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 3's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 4's
Table starts
..1....3......4........5..........8...........12.............17.............25
..3....6.....14.......36.........83..........192............468...........1112
..4...14.....40......147........457.........1554...........5370..........17678
..5...36....147......826.......4344........23930.........131650.........705342
..8...83....457.....4344......40221.......374645........3307716.......28430880
.12..192...1554....23930.....374645......5627727.......78510820.....1084830372
.17..468...5370...131650....3307716.....78510820.....1740363958....38249638826
.25.1112..17678...705342...28430880...1084830372....38249638826..1318320614894
.37.2624..58836..3801448..248312071..15273876227...844387380911.45367275773182
.54.6267.199055.20598890.2192473876.215684786758.18649094172670
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LINKS
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EXAMPLE
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Some solutions for n=6 k=4
..0..2..2..2....2..2..2..2....0..2..2..1....0..0..2..2....1..0..0..1
..0..2..0..2....2..0..1..2....0..2..2..0....1..1..2..2....1..1..2..2
..2..2..1..2....2..2..2..2....0..1..1..0....1..1..0..0....0..1..2..2
..2..0..2..2....1..0..0..1....1..2..2..0....0..2..2..0....1..1..0..0
..2..0..2..1....2..2..0..1....1..2..2..0....0..2..2..1....1..2..2..0
..2..2..2..0....2..2..0..1....0..1..1..0....1..1..0..1....0..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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