A223850 T(n,k)=Number of nXk 0..3 arrays with rows and columns unimodal.

4, 16, 16, 50, 256, 50, 130, 2500, 2500, 130, 296, 16900, 64660, 16900, 296, 610, 87616, 1006318, 1006318, 87616, 610, 1163, 372100, 10804883, 32464394, 10804883, 372100, 1163, 2083, 1352569, 87613063, 664770145, 664770145, 87613063, 1352569, 2083

Offset: 1

Author

R. H. Hardin Mar 27 2013

Keywords

• nonn
• tabl

Comments

Table starts

....4.......16..........50............130...............296................610

...16......256........2500..........16900.............87616.............372100

...50.....2500.......64660........1006318..........10804883...........87613063

..130....16900.....1006318.......32464394.........664770145.........9625018705

..296....87616....10804883......664770145.......24291817048.......594861333098

..610...372100....87613063.....9625018705......594861333098.....23571122875874

.1163..1352569...570145144...106061178908....10609537390768....655695544507798

.2083..4338889..3107412546...936977517660...146233793223364..13664368909406118

.3544.12559936.14632983606..6894239747078..1627190607796056.223826020405698042

.5776.33362176.60951077586.43487182160312.15110227641526318

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..111

Crossrefs

Column 1 is A223659

Column 2 is A223756

Formula

Empirical: columns k=1..5 are polynomials of degree 6*k