%I
%S 0,44,1682,101573,4505726,286019636,13029003006,847775163675,
%T 39163069348499,2586615582072818,120546656751917002,
%U 8041164730409837733,377031919338288517436,25328506526109972349940,1192869061178928489347148
%N Number of nX3 0..3 arrays with exactly floor(nX3/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order
%C Column 3 of A223052
%H R. H. Hardin, <a href="/A223049/b223049.txt">Table of n, a(n) for n = 1..114</a>
%e Some solutions for n=3
%e ..0..0..1....0..0..0....0..1..1....0..1..2....0..1..2....0..1..0....0..0..1
%e ..2..3..2....1..0..2....2..1..0....2..2..3....3..2..2....2..3..1....2..1..3
%e ..0..0..1....1..0..3....2..3..1....0..2..1....2..1..0....2..0..3....3..1..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 13 2013
