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%I #5 Mar 31 2012 12:36:44
%S 3,25,111,633,3354,16393,72811,293831,1087857,3735546,12012530,
%T 36466979,105202136,289996482,767360174,1956720113,4824093641,
%U 11531663892,26793101230,60636948110,133921364986,289121431541,611037886807
%N Number of nX3 0..2 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor
%C Column 3 of A201539
%H R. H. Hardin, <a href="/A201534/b201534.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) is a polynomial of degree 26 for n>13
%e Some solutions for n=7
%e ..0..0..2....0..0..1....0..0..0....0..0..2....0..0..0....0..0..0....1..1..1
%e ..0..2..2....0..2..1....0..0..0....0..1..2....0..2..2....0..0..2....1..1..2
%e ..1..1..0....0..2..1....0..2..2....0..1..2....1..1..2....1..1..2....1..2..2
%e ..2..1..0....2..0..0....1..1..1....0..1..2....1..1..2....1..2..1....1..2..2
%e ..2..2..1....2..0..0....1..1..1....0..2..2....2..1..1....1..2..1....2..1..1
%e ..2..2..1....2..0..2....2..0..0....2..2..1....2..1..1....2..2..1....2..2..1
%e ..2..2..1....2..2..2....2..0..0....2..2..1....2..2..1....2..2..1....2..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 02 2011
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