%I #5 Mar 31 2012 12:37:10
%S 452,7313,73133,656053,5862927,53835891,499752207,4654712482,
%T 43385661909,404522337676,3772143906359,35177251141094,
%U 328055398640436,3059417909281589,28532069184985757,266090406288547230
%N Number of (n+1)X3 0..2 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing
%C Column 2 of A206223
%H R. H. Hardin, <a href="/A206217/b206217.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n-1) -49*a(n-2) -97*a(n-3) +664*a(n-4) -980*a(n-5) +448*a(n-6) for n>16
%e Some solutions for n=4
%e ..2..1..2....0..0..0....1..2..1....1..1..2....0..2..2....1..2..1....0..1..2
%e ..2..0..0....0..0..0....0..0..0....0..0..0....1..2..1....2..2..1....1..0..0
%e ..0..0..1....0..2..2....1..1..0....1..2..0....0..0..0....2..1..2....1..0..2
%e ..1..0..0....0..1..1....0..0..0....1..2..2....0..2..0....2..2..0....0..0..1
%e ..0..1..2....0..1..2....1..1..1....0..2..2....0..1..1....0..2..1....2..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 04 2012