A200902 T(n,k)=Number of nXk 0..5 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other

6, 15, 15, 33, 30, 33, 46, 13, 13, 46, 44, 649, 1848, 649, 44, 20, 3247, 1329, 1329, 3247, 20, 214, 1483, 219302, 352339, 219302, 1483, 214, 1055, 84463, 142698, 8982755, 8982755, 142698, 84463, 1055, 3020, 395138, 28966191, 18172239, 218373106

Offset

1,1

Comments

Table starts

....6.....15.......33.........46.........44.........20..........214

...15.....30.......13........649.......3247.......1483........84463

...33.....13.....1848.......1329.....219302.....142698.....28966191

...46....649.....1329.....352339....8982755...18172239...6469118415

...44...3247...219302....8982755..218373106.2162004143.784706456797

...20...1483...142698...18172239.2162004143

..214..84463.28966191.6469118415

.1055.395138.19687441

.3020.147370

.5124

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=3 k=3
..0..1..4....0..1..1....0..0..2....0..0..2....0..1..2....0..1..1....0..0..4
..0..2..4....2..3..5....1..1..3....1..5..3....0..3..3....0..4..5....1..3..4
..2..3..5....2..4..5....2..5..4....4..4..5....2..4..5....2..4..3....1..2..5

Crossrefs

Sequence in context: A128512 A352098 A201142 * A205132 A199223 A199094

Adjacent sequences: A200899 A200900 A200901 * A200903 A200904 A200905

Keyword

nonn,tabl

Author

R. H. Hardin Nov 23 2011

Status

approved