%I #5 Jul 11 2023 15:22:42
%S 4,78,1131,14976,219617,3101079,43677639,613533257
%N Equals two maps: number of n X 4 binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and vertical neighbors in a random 0..1 n X 4 array.
%C Column 4 of A220242.
%e Some solutions for n=3
%e ..0..0..1..1....0..0..0..0....0..1..0..0....0..1..0..0....1..1..1..0
%e ..0..0..0..0....1..0..1..1....0..1..0..1....1..0..1..0....0..1..1..0
%e ..1..0..0..0....0..0..0..1....1..0..0..0....0..0..1..0....0..0..1..0
%Y Cf. A220242.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 08 2012