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A266994
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T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its west, northeast or northwest neighbor modulo n and the upper left element equal to 0.
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5
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1, 1, 1, 1, 0, 2, 1, 0, 2, 6, 1, 0, 2, 23, 24, 1, 0, 2, 126, 907, 120, 1, 0, 2, 943, 67735, 51499, 720, 1, 0, 5, 8360, 6597969, 45049091, 4161843, 5040, 1, 0, 14, 87289, 763867475, 55872746031, 53041447974, 447189962, 40320, 1, 0, 44, 1073932, 98274481798
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OFFSET
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1,6
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COMMENTS
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Table starts
.....1.........1...........1...........1.........1...........1.......1..1.1.1
.....1.........0...........0...........0.........0...........0.......0..0.0
.....2.........2...........2...........2.........2...........5......14.44
.....6........23.........126.........943......8360.......87289.1073932
....24.......907.......67735.....6597969.763867475.98274481798
...120.....51499....45049091.55872746031
...720...4161843.53041447974
..5040.447189962
.40320
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LINKS
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EXAMPLE
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Some solutions for n=4 k=4
..0..2..1..3....0..0..2..2....0..3..3..1....0..0..0..2....0..3..1..1
..0..3..1..0....2..0..2..1....2..2..1..3....3..2..2..2....1..3..1..3
..2..0..2..1....3..1..3..1....1..0..2..1....1..1..1..1....2..0..2..0
..3..1..3..2....3..1..0..3....0..0..3..2....0..3..3..3....3..2..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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