%I
%S 3,3,2,7,9,6,22,30,20,75,105,70,266,378,252,966,1386,924,3564,5148,
%T 3432,13299,19305,12870,50050,72930,48620,189618,277134,184756,722228,
%U 1058148,705432,2762942,4056234,2704156,10608612,15600900,10400600,40859500
%N Number of nX1 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 1 of A200777
%H R. H. Hardin, <a href="/A200770/b200770.txt">Table of n, a(n) for n = 1..210</a>
%F Conjecture: (n+2)*(2270*n4893)*a(n) +3*(1090*n^24919*n+1654)*a(n1) +4686*a(n2) +2*(5540*n^2+7016*n+17127)*a(n3) 6*(1090*n2739)*(2*n7)*a(n4)=0.  R. J. Mathar, Nov 23 2011
%e All solutions for n=4
%e ..0....0....0....0....0....0....0
%e ..0....2....0....1....1....1....2
%e ..1....1....2....2....2....1....1
%e ..2....2....1....2....1....2....1
%Y Includes A003409((n+1)/3) and A000984(n/3)
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 22 2011
