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A224146
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, 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
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..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
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
EXAMPLE
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
CROSSREFS
Column 1 is A000027(n+1)
Column 2 is A000290(n+1)
Row 1 is A000124
Row 2 is A223718
Sequence in context: A355564 A361001 A223838 * A225010 A235494 A292960
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 31 2013
STATUS
approved