A202581 T(n,k)=Number of nXk 0..3 arrays with the row and column sums nondecreasing

4, 10, 10, 20, 90, 20, 35, 616, 616, 35, 56, 3731, 15688, 3731, 56, 84, 20208, 343827, 343827, 20208, 84, 120, 102665, 6776376, 27871870, 6776376, 102665, 120, 165, 492118, 123282439, 2028764764, 2028764764, 123282439, 492118, 165, 220, 2275947

Offset

1,1

Comments

Table starts

...4.......10..........20............35..............56..............84

..10.......90.........616..........3731...........20208..........102665

..20......616.......15688........343827.........6776376.......123282439

..35.....3731......343827......27871870......2028764764....136314892664

..56....20208.....6776376....2028764764....550113111784.137822089847470

..84...102665...123282439..136314892664.137822089847470

.120...492118..2108296388.8588877039627

.165..2275947.34358272840

.220.10175908

.286

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 1 is A000292(n+1)

Sequence in context: A227060 A278727 A184129 * A201729 A310337 A201836

Adjacent sequences: A202578 A202579 A202580 * A202582 A202583 A202584

Keyword

nonn,tabl

Author

R. H. Hardin Dec 21 2011

Status

approved