%I #4 Mar 14 2013 21:39:39
%S 0,184,6676,244607,9329085,361530918,14237206760,566959827679,
%T 22771337178098,920732664014184,37428247719900736,1528116180858713458,
%U 62615475463419517018,2573537658832757981728,106050487362790924033404
%N Number of 4Xn 0..2 arrays with exactly floor(4Xn/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order
%C Row 4 of A223114
%H R. H. Hardin, <a href="/A223117/b223117.txt">Table of n, a(n) for n = 1..18</a>
%e Some solutions for n=3
%e ..0..1..1....0..1..0....0..1..2....0..1..0....0..1..2....0..1..0....0..0..1
%e ..2..1..2....0..1..0....1..1..0....0..2..1....1..2..0....1..1..2....1..0..1
%e ..2..0..2....1..1..1....0..1..0....0..0..1....1..0..1....0..0..2....1..2..2
%e ..1..0..0....1..1..2....2..1..1....2..0..1....1..2..1....1..0..1....2..0..1
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 14 2013