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A224004
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Number of 6Xn 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing
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1
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729, 20216, 117386, 388598, 984595, 2160036, 4368458, 8412641, 15703623, 28693082, 51589943, 91524689, 160402902, 277798382, 475383309, 803588211, 1341439640, 2210851797, 3597065144, 5777447600, 9161521721, 14345876103
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = (1/3628800)*n^12 + (1/302400)*n^11 + (419/3628800)*n^10 + (223/120960)*n^9 + (35411/1209600)*n^8 + (20443/50400)*n^7 + (17616857/3628800)*n^6 + (6342323/120960)*n^5 + (821276033/1814400)*n^4 + (103253527/37800)*n^3 + (186412339/16800)*n^2 - (24901729/840)*n - 64275 for n>8
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EXAMPLE
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Some solutions for n=3
..0..1..1....0..0..0....0..0..0....0..0..2....0..0..0....0..0..0....0..0..2
..0..1..2....0..0..2....0..2..2....1..1..2....0..2..2....0..0..0....0..1..1
..0..0..1....0..0..0....0..1..2....1..1..2....1..2..2....0..0..1....1..1..1
..0..2..2....0..0..0....1..1..1....0..1..1....0..1..2....1..1..2....0..2..2
..1..1..2....0..0..2....0..1..1....0..1..2....0..1..1....1..1..1....1..1..2
..1..1..2....1..1..2....2..2..2....1..2..2....0..2..2....0..1..2....0..1..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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