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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..3 3Xn array
1

%I #4 Jan 21 2013 07:56:59

%S 1,38,395,3848,32149,261182,2095293,16774816,134213444,1073737004,

%T 8589926161,68719468238,549755798961,4398046497376,35184372064343,

%U 281474976689834,2251799813647324,18014398509451874,144115188075799743

%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..3 3Xn array

%C Row 3 of A221632

%H R. H. Hardin, <a href="/A221634/b221634.txt">Table of n, a(n) for n = 1..76</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 21 2013