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A197613
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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 4,2,1,1,1 for x=0,1,2,3,4
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8
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1, 1, 1, 2, 5, 2, 3, 14, 14, 3, 4, 43, 67, 43, 4, 6, 124, 366, 366, 124, 6, 9, 352, 1840, 3569, 1840, 352, 9, 13, 1025, 9361, 33484, 33484, 9361, 1025, 13, 19, 2977, 47610, 305072, 545364, 305072, 47610, 2977, 19, 28, 8619, 242254, 2851047, 9128940, 9128940
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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 4's, every 1 is next to 1 2'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.....1.......2..........3............4...............6.................9
..1.....5......14.........43..........124.............352..............1025
..2....14......67........366.........1840............9361.............47610
..3....43.....366.......3569........33484..........305072...........2851047
..4...124....1840......33484.......545364.........9128940.........153043371
..6...352....9361.....305072......9128940.......273369257........8272253014
..9..1025...47610....2851047....153043371......8272253014......449467029436
.13..2977..242254...26590627...2556879780....248406422932....24420773475851
.19..8619.1234052..247746587..42705555374...7492663676120..1328293306974369
.28.24982.6286646.2305802120.714332556250.225895450875974.72207065980385107
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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..0..2..1....0..0..0..0....0..0..0..0....0..1..2..1....1..0..1..2
..0..0..1..0....2..1..0..0....2..1..1..2....2..1..0..0....2..1..4..1
..2..1..4..1....1..3..0..0....1..1..4..1....1..3..0..0....0..3..1..1
..1..0..1..2....0..1..2..0....0..2..1..0....3..1..2..0....0..1..2..2
..3..1..1..0....1..4..1..0....0..0..3..1....1..4..1..0....0..0..0..1
..1..2..2..1....2..1..0..0....0..0..1..2....2..1..0..0....0..0..0..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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