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

%I #6 Jun 22 2022 11:36:44

%S 4,22,108,691,3872,20897,112582,605780,3249132,17400206,93125105,

%T 498148634,2663790130,14241169579,76125716517,406890173406,

%U 2174685548474,11622471918192,62113961444133,331949857443568,1773988622548460

%N Equals one maps: number of n X 3 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, vertical and antidiagonal neighbors in a random 0..1 n X 3 array.

%C Column 3 of A220461.

%H R. H. Hardin, <a href="/A220457/b220457.txt">Table of n, a(n) for n = 1..115</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A220461.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2012