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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified March 25 16:33 EDT 2019. Contains 321474 sequences. (Running on oeis4.)