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A252998
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Number of n X n nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.
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3
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0, 0, 0, 1, 69, 3072, 122833, 4915726, 204051186, 8849413857, 399736867216, 18698541563923, 900653139548828, 44458651801451163, 2240500172425946056, 114922424191743943701, 5985232324581998309113, 315879022416448194306768
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OFFSET
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1,5
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COMMENTS
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LINKS
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Robert Dougherty-Bliss and Manuel Kauers, Hardinian Arrays, arXiv:2309.00487 [math.CO], 2023.
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EXAMPLE
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Some solutions for n=6:
..0..0..1..1..1..2....0..0..1..1..1..2....0..1..1..1..2..2....0..0..1..1..1..2
..0..0..1..1..1..2....0..1..1..1..2..2....1..1..1..1..2..2....0..1..1..1..1..2
..1..1..1..1..1..2....0..1..1..2..2..2....1..1..1..2..2..2....0..1..1..2..2..2
..1..1..2..2..2..2....1..1..1..2..2..2....2..2..2..2..2..2....1..1..1..2..2..2
..1..2..2..2..2..2....1..1..1..2..2..2....2..2..2..2..2..2....1..2..2..2..2..2
..2..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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