%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