A232708 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing

86, 542, 542, 2694, 13471, 2694, 11181, 254980, 254980, 11181, 40292, 3880262, 19199814, 3880262, 40292, 129801, 49992862, 1153538563, 1153538563, 49992862, 129801, 380718, 560453801, 57797914757, 278440218263, 57797914757, 560453801

Offset

1,1

Comments

Table starts

.....86.......542........2694........11181.......40292....129801.....380718

....542.....13471......254980......3880262....49992862.560453801.5577852948

...2694....254980....19199814...1153538563.57797914757

..11181...3880262..1153538563.278440218263

..40292..49992862.57797914757

.129801.560453801

.380718

Links

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

Example

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

Crossrefs

Sequence in context: A157443 A035136 A202524 * A232706 A344679 A231266

Adjacent sequences: A232705 A232706 A232707 * A232709 A232710 A232711

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 28 2013

Status

approved