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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 (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..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

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Last modified March 29 08:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)