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A223838 T(n,k)=Number of nXk 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing 12
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
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
LINKS
FORMULA
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
EXAMPLE
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
CROSSREFS
Column 1 is A000027(n+1)
Column 2 is A000290(n+1)
Row 1 is A000124
Row 2 is A223718
Sequence in context: A027634 A355564 A361001 * A224146 A225010 A235494
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 27 2013
STATUS
approved

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Last modified March 28 14:02 EDT 2024. Contains 371254 sequences. (Running on oeis4.)