%I #4 Feb 12 2016 12:31:11
%S 13,89,623,4110,26334,165019,1016807,6183665,37209717,221970102,
%T 1314544140,7737069617,45297553803,263980824665,1532201345489,
%U 8861529601362,51088246525260,293694819166095,1684057081243885
%N Number of nX4 binary arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once.
%C Column 4 of A268750.
%H R. H. Hardin, <a href="/A268746/b268746.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +2*a(n-2) -82*a(n-3) -49*a(n-4) +124*a(n-5) +39*a(n-6) -58*a(n-7) -6*a(n-8) +8*a(n-9) -a(n-10)
%e Some solutions for n=4
%e ..0..1..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..1. .0..1..0..1
%e ..0..0..0..1. .1..0..0..0. .1..0..0..1. .0..0..0..0. .1..0..1..0
%e ..1..0..0..0. .0..0..1..0. .0..1..0..0. .1..0..0..0. .0..0..0..0
%e ..1..0..0..1. .1..0..1..0. .1..0..1..0. .0..0..0..0. .0..0..1..0
%Y Cf. A268750.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 12 2016