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A267742
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T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west or northeast neighbors modulo n and the upper left element equal to 0.
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11
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1, 1, 1, 1, 3, 2, 1, 10, 4, 6, 1, 35, 17, 5, 24, 1, 126, 57, 26, 6, 120, 1, 462, 207, 123, 45, 7, 720, 1, 1716, 786, 633, 249, 82, 8, 5040, 1, 6435, 3057, 3428, 1811, 502, 157, 9, 40320, 1, 24310, 12168, 18899, 14138, 4997, 1008, 306, 10, 362880, 1, 92378, 49161, 106599
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OFFSET
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1,5
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COMMENTS
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Table starts
......1..1....1....1......1........1.........1.........1..........1..........1
......1..3...10...35....126......462......1716......6435......24310......92378
......2..4...17...57....207......786......3057.....12168......49161.....200973
......6..5...26..123....633.....3428.....18899....106599.....618585....3674665
.....24..6...45..249...1811....14138....114323....938590....7847855...67070467
....120..7...82..502...4997....55105....649089...7866419...97477205.1225988750
....720..8..157.1008..13856...211044...3562990..62745587.1149981951
...5040..9..306.2020..38736...807164..19473397.491779927
..40320.10..605.4044.109231..3087973.106720862
.362880.11.1202.8092.310419.11817336
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LINKS
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EXAMPLE
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Some solutions for n=4 k=4
..0..1..1..2....0..1..1..2....0..1..1..2....0..0..1..2....0..1..1..2
..1..2..2..2....2..2..3..3....1..1..2..2....1..2..2..2....2..2..3..0
..3..3..3..0....3..0..0..1....2..3..3..0....3..3..3..0....3..3..0..1
..3..0..0..1....0..1..2..3....3..3..0..0....3..0..1..1....3..0..1..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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