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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..1 3Xn array
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%I #3 Dec 15 2012 20:07:30

%S 1,31,55,625,2555,17935,90171,544856,2962859,17081286,94990161,

%T 539185536,3022799372,17066737846,95943415702,540694505626,

%U 3042529902216,17135308344664

%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..1 3Xn array

%C Row 3 of A220537

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 15 2012