%I #4 Dec 22 2012 03:41:22
%S 8,168,3466,62400,1037774,16734366,268264812,4294285044,68716748256,
%T 1099500713960,17592142389240,281474802089984,4503598928887808,
%U 72057591243997184,1152921493431123968,18446744029006659584
%N Equals one maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, vertical and antidiagonal neighbors in a random 0..2 nX4 array
%C Column 4 of A220810
%H R. H. Hardin, <a href="/A220808/b220808.txt">Table of n, a(n) for n = 1..33</a>
%F Empirical: a(n) = 20*a(n-1) -64*a(n-2) for n>13
%e Some solutions for n=3
%e ..0..1..0..0....0..0..1..1....0..0..1..1....0..1..1..0....1..0..1..1
%e ..1..0..0..1....1..1..0..1....1..1..0..1....1..0..0..1....0..0..1..0
%e ..0..0..0..0....0..0..0..0....0..0..1..0....1..1..0..0....0..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 22 2012