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A200935
T(n,k)=Number of nXk 0..6 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
7
7, 21, 21, 57, 70, 57, 107, 86, 86, 107, 151, 466, 3158, 466, 151, 134, 11620, 43334, 43334, 11620, 134, 70, 46664, 246447, 1684241, 246447, 46664, 70, 906, 19639, 16356517, 21364907, 21364907, 16356517, 19639, 906, 5719, 1992563, 8948286
OFFSET
1,1
COMMENTS
Table starts
....7......21.......57........107.........151........134.........70........906
...21......70.......86........466.......11620......46664......19639....1992563
...57......86.....3158......43334......246447...16356517....8948286.4440651544
..107.....466....43334....1684241....21364907.4105461914.5978211225
..151...11620...246447...21364907.10179183172
..134...46664.16356517.4105461914
...70...19639..8948286
..906.1992563
.5719
LINKS
EXAMPLE
Some solutions for n=3 k=3
..0..1..3....0..2..3....0..3..2....0..1..2....0..1..1....0..1..2....0..1..4
..2..5..6....0..6..4....1..4..5....3..4..6....2..6..6....1..3..4....0..2..5
..3..4..6....1..5..6....4..6..6....3..5..5....3..4..5....4..6..5....3..3..6
CROSSREFS
Sequence in context: A233331 A158280 A201072 * A097182 A058525 A219036
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 24 2011
STATUS
approved