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%I #9 Apr 16 2018 22:09:01
%S 104,368,1408,5272,19992,75192,284256,1071200,4044648,15253448,
%T 57567440,217164120,819446824,3091567752,11664944600,44010709432,
%U 166054788688,626518324872,2363865184800,8918824197024,33650767785632,126964068474600
%N Number of (n+1) X 4 binary arrays with no 2 X 2 subblock trace equal to any horizontal or vertical neighbor 2 X 2 subblock trace.
%C Column 3 of A185769.
%H R. H. Hardin, <a href="/A185763/b185763.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = a(n-1) + 10*a(n-2) + 3*a(n-3) - 5*a(n-4) + a(n-5) for n>6.
%F Empirical g.f.: 8*x*(13 + 33*x - 16*x^3 + 7*x^4 - x^5) / (1 - x - 10*x^2 - 3*x^3 + 5*x^4 - x^5). - _Colin Barker_, Apr 16 2018
%e Some solutions for 3 X 4:
%e ..0..1..0..0....0..0..1..1....1..0..1..0....0..1..0..1....0..1..0..0
%e ..1..1..1..1....0..1..0..1....0..0..0..0....1..1..1..0....0..0..1..1
%e ..0..1..0..1....1..0..1..1....1..0..1..0....0..1..0..1....0..1..0..1
%Y Cf. A185769.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 03 2011
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