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A196646
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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 1,3,4,0,2 for x=0,1,2,3,4
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5
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1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 7, 16, 7, 1, 1, 17, 37, 37, 17, 1, 1, 41, 116, 129, 116, 41, 1, 1, 99, 356, 667, 667, 356, 99, 1, 1, 239, 1068, 2783, 4273, 2783, 1068, 239, 1, 1, 577, 3217, 12515, 25118, 25118, 12515, 3217, 577, 1, 1, 1393, 9717, 55513, 160347, 217880
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OFFSET
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1,8
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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 4's, every 3 is next to 3 0's, every 4 is next to 4 2's
Table starts
.1....1.....1.......1........1..........1...........1.............1
.1....1.....3.......7.......17.........41..........99...........239
.1....3....16......37......116........356........1068..........3217
.1....7....37.....129......667.......2783.......12515.........55513
.1...17...116.....667.....4273......25118......160347........983193
.1...41...356....2783....25118.....217880.....1921822......16668173
.1...99..1068...12515...160347....1921822....23946130.....294598355
.1..239..3217...55513...983193...16668173...294598355....5094296927
.1..577..9717..245289..6087268..146029787..3633351823...88475582351
.1.1393.29312.1088893.37645887.1275692776.44727792165.1537545830451
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LINKS
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EXAMPLE
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Some solutions for n=6 k=4
..0..0..3..0....0..3..0..0....0..0..0..0....0..3..0..0....0..3..0..0
..0..0..0..0....3..0..0..0....0..3..3..0....0..0..3..0....0..0..3..0
..3..0..0..3....0..3..0..3....3..0..0..3....3..0..3..0....0..0..3..0
..0..3..3..0....0..3..0..0....0..3..3..0....0..0..0..3....3..0..0..3
..3..0..0..0....3..0..0..3....0..0..0..0....3..0..0..0....0..3..3..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..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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