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Number of nX2 0..3 arrays with exactly floor(nX2/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order
1

%I #5 Mar 04 2013 06:49:48

%S 0,6,20,685,5370,123410,1341616,25106526,321557310,5447475968,

%T 76079350800,1228204709225,17971182592538,283558808435910,

%U 4256630623481552,66474347415079345,1012439882213494794

%N Number of nX2 0..3 arrays with exactly floor(nX2/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order

%C Column 2 of A222747

%H R. H. Hardin, <a href="/A222741/b222741.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..0....0..1....0..1

%e ..2..0....0..0....1..1....2..2....1..1....1..1....0..1....0..1....1..1....0..0

%e ..0..0....0..2....2..0....2..1....0..1....2..3....1..1....0..1....0..2....0..1

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 04 2013