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A224146
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T(n,k)=Number of nXk 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing
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12
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2, 4, 3, 7, 9, 4, 11, 22, 16, 5, 16, 46, 49, 25, 6, 22, 86, 124, 92, 36, 7, 29, 148, 275, 272, 155, 49, 8, 37, 239, 554, 691, 526, 242, 64, 9, 46, 367, 1037, 1573, 1509, 930, 357, 81, 10, 56, 541, 1831, 3296, 3827, 2985, 1536, 504, 100, 11, 67, 771, 3082, 6472, 8838
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OFFSET
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1,1
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COMMENTS
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Table starts
..2...4...7...11....16....22.....29......37......46......56.......67.......79
..3...9..22...46....86...148....239.....367.....541.....771.....1068.....1444
..4..16..49..124...275...554...1037....1831....3082....4984.....7789....11818
..5..25..92..272...691..1573...3296....6472...12058...21506....36961....61517
..6..36.155..526..1509..3827...8838...18969...38392...74053...137204...245636
..7..49.242..930..2985..8375..21183...49365..107697..222603...439909...837071
..8..64.357.1536..5471.16885..46586..117510..275557..608423..1277544..2571226
..9..81.504.2404..9431.31841..95455..259927..653980.1540542..3433254..7299542
.10.100.687.3602.15457.56783.184222..539980.1454873.3651978..8632537.19383022
.11.121.910.5206.24285.96579.337727.1062305.3058144.8167578.20458857.48492125
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LINKS
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FORMULA
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Empirical: columns k=1..7 are polynomials of degree k for n>0,0,0,1,2,3,4
Empirical: rows n=1..7 are polynomials of degree 2*n
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..0..0....0..0..0..0....0..0..0..0....1..1..0..0....0..0..0..0
..1..1..0..0....0..1..0..0....0..1..1..0....1..1..0..0....0..0..0..1
..1..1..1..1....0..1..1..1....0..1..1..0....1..1..1..0....1..1..1..1
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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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