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Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..3 nX3 array
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%I #5 Jan 21 2013 07:54:01

%S 4,37,395,3575,30145,247495,2003761,16117917,129240286,1034701626,

%T 8277555240,66195137589,529260702037,4231296692315,33826548373479,

%U 270415884605246,2161732368363020,17281016582013451,138145098446018337

%N Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..3 nX3 array

%C Column 3 of A221632

%H R. H. Hardin, <a href="/A221630/b221630.txt">Table of n, a(n) for n = 1..177</a>

%F Empirical: a(n) = 15*a(n-1) -69*a(n-2) +100*a(n-3) +61*a(n-4) -209*a(n-5) -378*a(n-6) +996*a(n-7) +544*a(n-8) -1560*a(n-9) -491*a(n-10) +1328*a(n-11) -180*a(n-12) -112*a(n-13) +124*a(n-14) +32*a(n-15) for n>17

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 21 2013