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, 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

Author

R. H. Hardin Nov 24 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..49