%I #4 Mar 14 2013 17:10:41
%S 0,24,546,13416,255216,6939648,137988216,3821347968,77212900320,
%T 2167927320192,44216000738976,1253102341234176,25727713443075456,
%U 733955159958484992,15142169638905698688,434105972073233465856
%N Number of nX3 0..2 arrays with exactly floor(nX3/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order
%C Column 3 of A223104
%H R. H. Hardin, <a href="/A223099/b223099.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0..1..2....0..1..1....0..1..0....0..1..2....0..1..2....0..1..0....0..1..2
%e ..0..2..0....0..0..1....2..1..0....0..2..2....0..1..2....0..2..2....0..2..2
%e ..2..2..1....1..2..0....1..0..2....2..1..0....2..2..2....1..0..0....0..2..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 14 2013