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Equals one maps: number of 3Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 3Xn array
1

%I #4 Dec 24 2012 17:36:16

%S 1,38,379,3687,30963,253013,2042071,16390010,131304057,1051088784,

%T 8410953281,67295527293,538391560268,4307227357177,34458145224515,

%U 275666265873864,2205333684261561,17642679462717579,141141451046332037

%N Equals one maps: number of 3Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 3Xn array

%C Row 3 of A220916

%H R. H. Hardin, <a href="/A220918/b220918.txt">Table of n, a(n) for n = 1..33</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 24 2012