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

1,1

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

Links

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

Formula

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

Example

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

Crossrefs

Column 1 is A223718

Column 2 is A223927

Sequence in context: A099720 A183149 A223933 * A224310 A224374 A238323

Adjacent sequences: A224054 A224055 A224056 * A224058 A224059 A224060

Keyword

nonn,tabl

Author

R. H. Hardin Mar 30 2013

Status

approved