%I #5 Mar 31 2012 12:37:05
%S 266,2773,27157,221766,1707082,11675764,76088840,460518847,2683735998,
%T 14905311330,80378339143,419363315736,2137855359517,10641083611371,
%U 51996072608754,249514965798706,1179572239075227,5497644720565445
%N Number of (n+1)X3 0..2 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero
%C Column 2 of A205235
%H R. H. Hardin, <a href="/A205229/b205229.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..2..2..1....1..1..1....2..2..2....2..0..2....2..0..2....2..1..0....2..0..2
%e ..2..0..2....0..1..2....0..1..0....2..1..1....0..1..0....2..0..2....0..2..2
%e ..2..2..0....2..1..0....2..2..2....2..0..2....2..1..2....1..1..1....2..0..2
%e ..2..0..2....1..1..1....1..2..2....1..1..2....0..2..0....1..1..1....1..2..2
%e ..1..2..2....1..2..0....2..2..2....1..1..1....2..0..2....2..0..2....2..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 24 2012