A224113 T(n,k)=Number of nXk 0..3 arrays with row sums and column sums unimodal

4, 16, 16, 50, 256, 50, 130, 3060, 3060, 130, 296, 29922, 141112, 29922, 296, 610, 252912, 5286827, 5286827, 252912, 610, 1163, 1912914, 169786856, 762031090, 169786856, 1912914, 1163, 2083, 13254601, 4837645361, 93991412090, 93991412090

Offset

1,1

Comments

Table starts

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

...16.......256..........3060............29922............252912

...50......3060........141112..........5286827.........169786856

..130.....29922.......5286827........762031090.......93991412090

..296....252912.....169786856......93991412090....44633436796823

..610...1912914....4837645361...10255460738958.18747100782890395

.1163..13254601..125243425246.1013220280453733

.2083..85563043.2997702534361

.3544.521069404

.5776

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 1 is A223659

Column 2 is A223660

Sequence in context: A223762 A223850 A223663 * A223876 A223801 A336938

Adjacent sequences: A224110 A224111 A224112 * A224114 A224115 A224116

Keyword

nonn,tabl

Author

R. H. Hardin Mar 31 2013

Status

approved