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A197317
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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 0,1,1,0,0 for x=0,1,2,3,4
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8
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1, 1, 1, 2, 0, 2, 1, 3, 3, 1, 2, 2, 5, 2, 2, 4, 9, 10, 10, 9, 4, 2, 6, 128, 160, 128, 6, 2, 4, 27, 79, 152, 152, 79, 27, 4, 8, 18, 249, 790, 1033, 790, 249, 18, 8, 4, 83, 662, 2724, 4780, 4780, 2724, 662, 83, 4, 8, 56, 2767, 6242, 24903, 24704, 24903, 6242, 2767, 56, 8, 16, 257
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OFFSET
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1,4
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COMMENTS
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Every 0 is next to 0 0's, every 1 is next to 1 1'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..1....2.....1.......2........4..........2...........4.............8
.1..0....3.....2.......9........6.........27..........18............83
.2..3....5....10.....128.......79........249.........662..........2767
.1..2...10...160.....152......790.......2724........6242.........26422
.2..9..128...152....1033.....4780......24903......113774........553807
.4..6...79...790....4780....24704.....189212.....1400102.......8813744
.2.27..249..2724...24903...189212....2241018....20425821.....208960627
.4.18..662..6242..113774..1400102...20425821...282284587....3980881442
.8.83.2767.26422..553807..8813744..208960627..3980881442...82874179361
.4.56.3969.91756.2751427.62844698.1984221109.55455223337.1594105273961
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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
..0..1..1..2....0..1..1..0....1..1..2..0....0..1..1..0....0..1..1..0
..3..0..2..1....1..2..0..3....0..2..1..1....3..0..2..1....3..0..2..1
..0..4..0..1....1..0..4..0....3..0..3..0....0..4..0..1....0..4..0..1
..3..0..3..0....0..4..0..1....0..4..0..1....3..0..3..0....1..0..4..0
..0..2..1..1....3..0..2..1....3..0..2..1....0..2..1..1....1..2..0..3
..1..1..2..0....0..1..1..0....0..1..1..2....1..1..2..0....2..1..1..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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