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A208066 Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A208066 #8 Jun 27 2018 09:07:24
%S A208066 16,256,704,1936,3696,7056,11424,18496,27200,40000,55200,76176,100464,
%T A208066 132496,168896,215296,267264,331776,403200,490000,585200,698896,
%U A208066 822624,968256,1125696,1308736,1505504,1731856,1974000,2250000,2544000,2876416
%N A208066 Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A208066 Column 5 of A208069.
%H A208066 R. H. Hardin, <a href="/A208066/b208066.txt">Table of n, a(n) for n = 1..210</a>
%F A208066 Empirical: a(n) = 2*a(n-1) + 2*a(n-2) - 6*a(n-3) + 6*a(n-5) - 2*a(n-6) - 2*a(n-7) + a(n-8) for n>9.
%F A208066 Empirical g.f.: 16*x*(1 + 14*x + 10*x^2 + 7*x^3 - 3*x^4 - 5*x^5 + 2*x^6 + 2*x^7 - x^8) / ((1 - x)^5*(1 + x)^3). - _Colin Barker_, Jun 27 2018
%e A208066 Some solutions for n=4.
%e A208066 ..1..0..1..1..0....1..1..0..0..1....1..1..0..1..1....0..0..1..0..0
%e A208066 ..0..0..1..0..1....1..0..1..1..0....0..0..1..0..1....1..1..0..0..1
%e A208066 ..0..0..1..0..0....1..1..0..0..1....0..1..0..1..0....0..0..1..0..0
%e A208066 ..0..0..1..0..1....0..0..1..1..0....0..0..1..0..1....0..1..0..0..1
%Y A208066 Cf. A208069.
%K A208066 nonn
%O A208066 1,1
%A A208066 _R. H. Hardin_, Feb 23 2012