%I #5 Mar 31 2012 12:36:42
%S 7,21,21,57,70,57,107,86,86,107,151,466,3158,466,151,134,11620,43334,
%T 43334,11620,134,70,46664,246447,1684241,246447,46664,70,906,19639,
%U 16356517,21364907,21364907,16356517,19639,906,5719,1992563,8948286
%N 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
%C Table starts
%C ....7......21.......57........107.........151........134.........70........906
%C ...21......70.......86........466.......11620......46664......19639....1992563
%C ...57......86.....3158......43334......246447...16356517....8948286.4440651544
%C ..107.....466....43334....1684241....21364907.4105461914.5978211225
%C ..151...11620...246447...21364907.10179183172
%C ..134...46664.16356517.4105461914
%C ...70...19639..8948286
%C ..906.1992563
%C .5719
%H R. H. Hardin, <a href="/A200935/b200935.txt">Table of n, a(n) for n = 1..49</a>
%e Some solutions for n=3 k=3
%e ..0..1..3....0..2..3....0..3..2....0..1..2....0..1..1....0..1..2....0..1..4
%e ..2..5..6....0..6..4....1..4..5....3..4..6....2..6..6....1..3..4....0..2..5
%e ..3..4..6....1..5..6....4..6..6....3..5..5....3..4..5....4..6..5....3..3..6
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Nov 24 2011