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A224057 T(n,k)=Number of nXk 0..2 arrays with rows and columns unimodal and antidiagonals nondecreasing 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 25 03:46 EDT 2022. Contains 354835 sequences. (Running on oeis4.)