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Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..2 nX3 array
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%I #4 Dec 27 2012 04:29:11

%S 4,40,405,3561,29567,242439,1964902,15821751,126979814,1017116549,

%T 8138315930,65077432961,520202376129,4157450203725,33222463115621,

%U 265465363823069,2121130686345074,16947964047438649,135413574933144677

%N Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..2 nX3 array

%C Column 3 of A220967

%H R. H. Hardin, <a href="/A220965/b220965.txt">Table of n, a(n) for n = 1..62</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 27 2012