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A197545
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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 2,2,1,1,1 for x=0,1,2,3,4
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8
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1, 1, 1, 2, 5, 2, 3, 8, 8, 3, 4, 19, 11, 19, 4, 6, 28, 24, 24, 28, 6, 9, 58, 61, 131, 61, 58, 9, 13, 119, 121, 206, 206, 121, 119, 13, 19, 219, 270, 834, 494, 834, 270, 219, 19, 28, 395, 614, 2081, 2095, 2095, 2081, 614, 395, 28, 41, 776, 1296, 6653, 6279, 12019, 6279, 6653
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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 2'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........13.........19..........28
..1...5....8....19.....28......58......119.......219........395.........776
..2...8...11....24.....61.....121......270.......614.......1296........2973
..3..19...24...131....206.....834.....2081......6653......15931.......48796
..4..28...61...206....494....2095.....6279.....21530......69977......248366
..6..58..121...834...2095...12019....48014....225222.....831160.....3944345
..9.119..270..2081...6279...48014...223832...1258673....6255191....36099651
.13.219..614..6653..21530..225222..1258673...9712913...54759599...396392100
.19.395.1296.15931..69977..831160..6255191..54759599..396593739..3605695639
.28.776.2973.48796.248366.3944345.36099651.396392100.3605695639.39500650780
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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
..1..0..0..0....1..2..1..1....0..1..2..1....1..3..1..2....1..2..2..1
..2..1..3..1....1..3..1..2....0..1..2..1....2..1..4..1....1..1..1..0
..2..1..1..2....2..1..1..2....1..3..2..1....2..1..1..0....2..1..4..1
..1..4..1..2....2..1..4..1....2..1..1..0....1..3..2..1....2..1..1..2
..3..1..1..1....1..1..1..0....2..1..4..1....0..1..2..1....1..3..1..2
..1..2..2..1....1..2..2..1....1..3..1..2....0..1..2..1....0..0..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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