A232680 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing

86, 562, 562, 2985, 13266, 2985, 14027, 252071, 252071, 14027, 59228, 4171291, 18009666, 4171291, 59228, 229332, 60818628, 1103220626, 1103220626, 60818628, 229332, 831604, 797893589, 59208746393, 254263401284, 59208746393, 797893589

Offset

1,1

Comments

Table starts

.....86.......562........2985........14027.......59228....229332.....831604

....562.....13266......252071......4171291....60818628.797893589.9620349150

...2985....252071....18009666...1103220626.59208746393

..14027...4171291..1103220626.254263401284

..59228..60818628.59208746393

.229332.797893589

.831604

Links

R. H. Hardin, Table of n, a(n) for n = 1..30

Example

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

Crossrefs

Sequence in context: A232763 A232754 A232760 * A232678 A272379 A262916

Adjacent sequences: A232677 A232678 A232679 * A232681 A232682 A232683

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 27 2013

Status

approved