%I #5 Mar 31 2012 12:36:45
%S 4,56,378,3699,31802,256836,1877283,12466658,75830797,426330762,
%T 2234037739,10991599638,51096736814,225648517165,951032245643,
%U 3840801817887,14914920467311,55860582248737,202312954584987
%N Number of nX3 0..3 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor
%C Column 3 of A201625
%H R. H. Hardin, <a href="/A201620/b201620.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) is a polynomial of degree 63 for n>35
%e Some solutions for n=5
%e ..0..0..1....0..0..2....0..0..1....0..1..1....0..0..0....0..2..3....0..0..1
%e ..0..0..1....0..0..2....0..0..1....0..1..1....0..3..3....0..2..3....0..0..1
%e ..0..1..3....1..1..2....0..1..1....3..1..2....1..0..0....1..1..0....2..2..2
%e ..0..1..3....3..3..0....3..1..3....3..2..2....1..3..3....3..0..0....2..3..3
%e ..0..2..2....3..3..0....3..3..3....3..3..2....2..2..2....3..1..1....3..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 03 2011
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