A233353 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing

80, 464, 556, 2164, 11562, 3362, 8538, 190529, 256099, 18445, 29595, 2607957, 15632055, 5139176, 94060, 92282, 30702571, 792134993, 1176261450, 95102518, 454538, 263644, 318690200, 34363298528, 225502088136, 81564498707, 1651408189

Offset

1,1

Comments

Table starts

......80........464........2164.........8538.......29595.........92282

.....556......11562......190529......2607957....30702571.....318690200

....3362.....256099....15632055....792134993.34363298528.1305785141000

...18445....5139176..1176261450.225502088136

...94060...95102518.81564498707

..454538.1651408189

.2109213

Links

R. H. Hardin, Table of n, a(n) for n = 1..31

Example

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

Crossrefs

Sequence in context: A234333 A234326 A085774 * A233354 A200432 A233351

Adjacent sequences: A233350 A233351 A233352 * A233354 A233355 A233356

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 07 2013

Status

approved