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A197199
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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 4,1,3,2,0 for x=0,1,2,3,4
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5
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1, 2, 2, 3, 5, 3, 4, 9, 9, 4, 6, 20, 25, 20, 6, 9, 41, 75, 75, 41, 9, 13, 85, 213, 314, 213, 85, 13, 19, 178, 621, 1283, 1283, 621, 178, 19, 28, 369, 1801, 5311, 7363, 5311, 1801, 369, 28, 41, 769, 5219, 21803, 42664, 42664, 21803, 5219, 769, 41, 60, 1600, 15133, 89640
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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 4's, every 1 is next to 1 1's, every 2 is next to 2 3's, every 3 is next to 3 2's, every 4 is next to 4 0's
Table starts
..1....2.....3.......4........6..........9..........13............19
..2....5.....9......20.......41.........85.........178...........369
..3....9....25......75......213........621........1801..........5219
..4...20....75.....314.....1283.......5311.......21803.........89640
..6...41...213....1283.....7363......42664......247053.......1431868
..9...85...621....5311....42664.....350711.....2873141......23497244
.13..178..1801...21803...247053....2873141....33176391.....383262156
.19..369..5219...89640..1431868...23497244...383262156....6258308430
.28..769.15133..369032..8291425..192348965..4432780869..102222467201
.41.1600.43867.1517961.48020216.1574634137.51234398070.1669087121069
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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....1..1..0..1....0..0..0..0....0..1..0..0....1..0..0..1
..1..0..0..1....0..0..0..1....0..1..1..0....0..1..0..0....1..0..0..1
..1..0..0..1....0..0..0..0....1..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....1..0..0..0....1..0..0..1....1..1..0..0....1..1..0..0
..0..0..0..0....1..0..0..0....0..1..0..1....0..0..0..1....0..0..0..0
..0..0..0..0....0..0..1..1....0..1..0..0....0..0..0..1....0..0..1..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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