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A223861
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Number of nX5 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing
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1
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296, 14751, 273959, 3017129, 23738426, 145947740, 740441932, 3217594840, 12305144319, 42270004211, 132509660564, 383868226325, 1038081470947, 2642374422155, 6374651949942, 14659617536977, 32293516183091
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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) = (769/444787200)*n^15 + (769/14826240)*n^14 + (1364177/1556755200)*n^13 + (4745443/479001600)*n^12 + (19610293/239500800)*n^11 + (21660577/43545600)*n^10 + (51383569/21772800)*n^9 + (4604039/537600)*n^8 + (65760287/2721600)*n^7 + (2366026111/43545600)*n^6 + (21481491623/239500800)*n^5 + (11196959227/119750400)*n^4 - (1120821577/51891840)*n^3 - (1312521589/10810800)*n^2 + (8123611/51480)*n - 113 for n>2
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EXAMPLE
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Some solutions for n=3
..0..0..0..0..1....0..0..1..1..0....0..0..0..0..0....0..0..1..0..0
..0..0..1..1..1....0..0..1..1..0....2..2..1..0..0....0..0..1..3..1
..3..3..2..2..1....0..0..1..3..0....3..3..1..0..0....0..1..2..3..1
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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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