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

1,1

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

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

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

Adjacent sequences: A200932 A200933 A200934 * A200936 A200937 A200938

Keyword

nonn,tabl

Author

R. H. Hardin Nov 24 2011

Status

approved