A250459 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with nondecreasing maximum of every three consecutive values in every row and column

19683, 373248, 373248, 6859000, 17318918, 6859000, 120553784, 772693886, 772693886, 120553784, 1990865512, 32602562806, 83130231052, 32602562806, 1990865512, 32248529487, 1275994883882, 8367484120632, 8367484120632

Offset

1,1

Comments

Table starts

.........19683............373248...............6859000...............120553784

........373248..........17318918.............772693886.............32602562806

.......6859000.........772693886...........83130231052...........8367484120632

.....120553784.......32602562806.........8367484120632........1989073833819266

....1990865512.....1275994883882.......771060995856122......427623692376852816

...32248529487....48782075567391.....69143106141467242....89158016669061445146

..512192024001..1821064698359512...6029492985617772723.18010964448339431996059

.7998800059999.66622768121582144.513483970207350870058

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 83]

Example

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

Crossrefs

Sequence in context: A250505 A186625 A186622 * A250455 A016761 A250593

Adjacent sequences: A250456 A250457 A250458 * A250460 A250461 A250462

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 23 2014

Status

approved