A250519 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

120, 889, 889, 5996, 14660, 5996, 39187, 205022, 205022, 39187, 248942, 2817780, 5941982, 2817780, 248942, 1555689, 36999777, 166583429, 166583429, 36999777, 1555689, 9605300, 480626844, 4464289109, 9680713976, 4464289109, 480626844

Offset

1,1

Comments

Table starts

......120.........889...........5996.............39187...............248942

......889.......14660.........205022...........2817780.............36999777

.....5996......205022........5941982.........166583429...........4464289109

....39187.....2817780......166583429........9680713976.........529549691761

...248942....36999777.....4464289109......529549691761.......59401819473382

..1555689...480626844...117638074883....28601087487209.....6541261035659334

..9605300..6146257386..3049397341176..1507593926459193...703840057362860071

.58826247.78207667892.78567969110807.79158901718859170.75185443088320314794

Links

R. H. Hardin, Table of n, a(n) for n = 1..197

Formula

Empirical for column k:

k=1: [linear recurrence of order 7]

k=2: [order 19]

k=3: [order 50]

Example

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

Crossrefs

Sequence in context: A300664 A029573 A211471 * A250512 A011245 A213875

Adjacent sequences: A250516 A250517 A250518 * A250520 A250521 A250522

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 24 2014

Status

approved