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

%I #4 Mar 14 2013 17:09:52

%S 0,6,16,280,1440,16352,111104,1072512,8281600,74866176,614068224,

%T 5409544192,45696688128,398896128000,3421054959616,29796895916032,

%U 257698176565248,2245655567138816,19520497243914240,170356407824547840

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

%C Column 2 of A223104

%H R. H. Hardin, <a href="/A223098/b223098.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..0....0..1....0..0....0..1....0..1

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 14 2013