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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 23 2011
STATUS
approved