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

1,1

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

Links

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

Formula

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

Example

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

Crossrefs

Column 1 is A223659

Column 2 is A223756

Sequence in context: A238287 A223811 A223762 * A223663 A224113 A223876

Adjacent sequences: A223847 A223848 A223849 * A223851 A223852 A223853

Keyword

nonn,tabl

Author

R. H. Hardin Mar 27 2013

Status

approved