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A196322
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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 1,3,0,2,4 for x=0,1,2,3,4
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8
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1, 1, 1, 2, 7, 2, 3, 10, 10, 3, 5, 23, 30, 23, 5, 8, 57, 88, 88, 57, 8, 13, 122, 299, 495, 299, 122, 13, 21, 275, 978, 2255, 2255, 978, 275, 21, 34, 623, 3132, 10934, 17093, 10934, 3132, 623, 34, 55, 1394, 10106, 54081, 120633, 120633, 54081, 10106, 1394, 55, 89
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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 1's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 4's
Table starts
..1....1......2.......3.........5...........8...........13.............21
..1....7.....10......23........57.........122..........275............623
..2...10.....30......88.......299.........978.........3132..........10106
..3...23.....88.....495......2255.......10934........54081.........264797
..5...57....299....2255.....17093......120633.......879613........6412539
..8..122....978...10934....120633.....1313940.....14115912......152443404
.13..275...3132...54081....879613....14115912....228181579.....3665485997
.21..623..10106..264797...6412539...152443404...3665485997....88027683663
.34.1394..32721.1296124..46525107..1650437009..59089675296..2111492855742
.55.3133.105779.6337697.338253489.17857068383.953116106453.50695941367351
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LINKS
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EXAMPLE
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Some solutions for n=6 k=4
..0..0..0..2....0..0..0..0....0..0..0..0....2..0..0..0....0..2..0..2
..0..2..2..0....0..0..2..2....2..3..2..0....0..0..0..0....2..2..0..0
..0..2..3..0....0..0..2..0....0..2..2..0....2..3..2..2....0..0..0..0
..0..0..2..0....2..2..3..0....0..0..0..0....0..2..0..0....2..3..2..0
..0..0..2..0....0..0..2..0....2..2..2..0....2..3..0..0....0..2..2..0
..0..0..2..0....0..0..2..0....0..0..2..0....0..2..0..0....2..0..0..2
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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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