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A265965
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T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than or equal to itself.
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5
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1, 3, 3, 2, 8, 2, 7, 50, 50, 7, 19, 1491, 150, 1491, 19, 35, 7741, 5582, 5582, 7741, 35, 77, 82424, 59454, 1111758, 59454, 82424, 77, 176, 763505, 809199, 74291246, 74291246, 809199, 763505, 176, 377, 6210500, 12253344, 4880049141, 16816210911
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OFFSET
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1,2
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COMMENTS
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Table starts
...1.......3.........2..............7.................19..................35
...3.......8........50...........1491...............7741...............82424
...2......50.......150...........5582..............59454..............809199
...7....1491......5582........1111758...........74291246..........4880049141
..19....7741.....59454.......74291246........16816210911.......3057992438196
..35...82424....809199.....4880049141......3057992438196....1826477943263851
..77..763505..12253344...389508194942....853715037314662.1718918677426337400
.176.6210500.172499046.27699226366664.203178594217817141
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4)
k=2: [order 41]
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EXAMPLE
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Some solutions for n=3 k=4
..0..4..1..2....2..2..3..1....0..3..3..1....1..4..0..2....0..2..1..0
..2..1..6..0....0..6..0..4....2..6..0..4....0..2..6..1....3..6..5..3
..3..2..1..2....2..2..4..0....2..1..4..0....3..3..1..2....1..0..2..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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