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A223838
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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, 48, 25, 6, 22, 86, 118, 89, 36, 7, 29, 148, 255, 249, 149, 49, 8, 37, 239, 503, 596, 471, 232, 64, 9, 46, 367, 926, 1286, 1240, 824, 342, 81, 10, 56, 541, 1614, 2578, 2884, 2388, 1356, 483, 100, 11, 67, 771, 2690, 4886, 6159, 5992
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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..48..118...255...503....926...1614....2690....4318....6712....10146
..5..25..89..249...596..1286...2578...4886....8851...15439...26072....42800
..6..36.149..471..1240..2884...6159..12371...23716...43790...78342...136368
..7..49.232..824..2388..5992..13582..28642...57306..110164..205131...371923
..8..64.342.1356..4325.11749..28369..62869..130891..260219..499470...932402
..9..81.483.2123..7436.21912..56607.132427..287719..591705.1167798..2233350
.10.100.659.3189.12222.39064.108282.268624..611901.1306407.2655964..5202806
.11.121.874.4626.19316.66854.199047.525323.1260152.2805670.5897718.11863338
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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 for k>0,0,0,2,4,6,8
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EXAMPLE
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Some solutions for n=3 k=4
..1..0..0..0....0..1..0..0....0..0..0..0....0..0..0..0....0..1..1..0
..1..1..0..0....1..1..1..0....0..0..0..1....0..0..0..0....0..1..1..0
..1..1..0..0....1..1..1..1....0..0..1..1....1..1..1..1....0..1..1..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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