A224146 T(n,k)=Number of nXk 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing

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

R. H. Hardin, Table of n, a(n) for n = 1..925

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

Adjacent sequences: A224143 A224144 A224145 * A224147 A224148 A224149

Keyword

nonn,tabl

Author

R. H. Hardin Mar 31 2013

Status

approved