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%I #4 Dec 15 2012 20:20:11
%S 4,38,395,3778,32126,261042,2095121,16773300,134209760,1073726672,
%T 8589906710,68719426436,549755721410,4398046339192,35184371768852,
%U 281474976122716,2251799812612122,18014398507523968,144115188072265072
%N Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and vertical neighbors in a random 0..2 nX3 array
%C Column 3 of A220545
%H R. H. Hardin, <a href="/A220543/b220543.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +3*a(n-2) -24*a(n-3) -2*a(n-4) +24*a(n-5) -60*a(n-6) -44*a(n-7) +91*a(n-8) +40*a(n-9) -3*a(n-10) +28*a(n-11) -28*a(n-12) -32*a(n-13) for n>32
%e Some solutions for n=3
%e ..0..0..0....1..1..0....1..1..1....1..0..0....1..1..0....1..1..1....1..0..0
%e ..0..0..0....1..1..0....1..1..1....0..1..1....0..1..1....0..1..0....1..0..1
%e ..1..0..1....1..0..1....0..1..1....0..0..1....1..1..0....1..1..0....0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 15 2012
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