A233055 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^2*x(i,j), i=1..n+1} nondecreasing

84, 517, 567, 2504, 12943, 3133, 10259, 230008, 263629, 14845, 36681, 3388003, 17810392, 4493649, 63271, 117336, 42636091, 1003305932, 1158868388, 67014557, 247417, 342631, 469323351, 48050514719, 252737269997, 65031861708, 897520231

Offset

1,1

Comments

Table starts

.....84.......517........2504........10259.......36681....117336.....342631

....567.....12943......230008......3388003....42636091.469323351.4607489801

...3133....263629....17810392...1003305932.48050514719

..14845...4493649..1158868388.252737269997

..63271..67014557.65031861708

.247417.897520231

.902423

Links

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

Example

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

Crossrefs

Sequence in context: A349682 A064198 A329935 * A233056 A211260 A233053

Adjacent sequences: A233052 A233053 A233054 * A233056 A233057 A233058

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2013

Status

approved