%I
%S 2,5,13,31,77,217,553,1438,3849,9634,24872,65658,165619,425229,
%T 1108871,2787741,7090082,18273124,45935694,116433625,297919225,
%U 747625324,1886048964,4791865798,11998842755,30184656867,76352766306,190890209361
%N Number of nX3 0..2 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 Column 3 of A200777
%H R. H. Hardin, <a href="/A200772/b200772.txt">Table of n, a(n) for n = 1..99</a>
%e Some solutions for n=4
%e ..0..0..0....0..1..1....0..0..1....0..0..1....0..0..1....0..1..1....0..0..2
%e ..0..2..2....0..2..1....0..0..2....0..1..1....0..1..2....0..1..1....0..0..2
%e ..1..1..2....0..2..1....1..2..2....0..2..1....0..1..2....0..2..2....1..1..2
%e ..1..1..2....0..2..2....1..1..2....2..2..2....1..2..2....0..2..2....1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 22 2011
