A224057 T(n,k)=Number of nXk 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing.

3, 9, 9, 22, 54, 22, 46, 218, 218, 46, 86, 698, 1232, 698, 86, 148, 1915, 5219, 5219, 1915, 148, 239, 4690, 18502, 27246, 18502, 4690, 239, 367, 10511, 57911, 115716, 115716, 57911, 10511, 367, 541, 21919, 164781, 428949, 568107, 428949, 164781, 21919, 541

Offset: 1

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn
• tabl

Comments

Table starts

...3.....9......22.......46........86........148.........239.........367

...9....54.....218......698......1915.......4690.......10511.......21919

..22...218....1232.....5219.....18502......57911......164781......433762

..46...698....5219....27246....115716.....428949.....1442005.....4492529

..86..1915...18502...115716....568107....2392915.....9064541....31777144

.148..4690...57911...428949...2392915...11231300....46853641...179545949

.239.10511..164781..1442005...9064541...46853641...212819499...880290006

.367.21919..433762..4492529..31777144..179545949...880290006..3903149379

.541.43045.1068664.13133871.104876598..646161612..3395883003.16032541293

.771.80334.2485274.36307595.329032264.2215310269.12434367863.62103561341

Examples

			Some solutions for n=3 k=4
..0..0..0..1....2..2..1..0....0..0..0..0....1..1..0..0....0..1..0..0
..1..1..1..0....2..2..1..0....2..0..0..0....1..2..0..0....1..2..0..0
..1..2..1..0....2..2..0..0....2..1..1..1....2..2..2..1....2..2..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..199

Crossrefs

Column 1 is A223718

Column 2 is A223927

Formula

Empirical: columns k=1..7 are polynomials of degree 4*k for n>0,0,1,3,5,7,9