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%I #9 May 01 2018 14:28:58
%S 7,49,280,1600,8985,50397,282332,1581428,8857677,49611209,277868792,
%T 1556321080,8716833601,48822302485,273449899316,1531571519964,
%U 8578212427349,48045897623297,269101318957392,1507215463960672
%N Number of n X 3 binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally.
%C Column 3 of A189264.
%H R. H. Hardin, <a href="/A189258/b189258.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 6*a(n-1) -2*a(n-2) +a(n-4) -50*a(n-5) -6*a(n-6) +140*a(n-7) -56*a(n-8).
%F Empirical g.f.: x*(7 + 7*x + 18*x^3 - 62*x^4 - 12*x^5 + 132*x^6 - 56*x^7) / (1 - 6*x + 2*x^2 - x^4 + 50*x^5 + 6*x^6 - 140*x^7 + 56*x^8). - _Colin Barker_, May 01 2018
%e Some solutions for 4 X 3:
%e ..1..1..1....0..1..0....1..1..0....0..1..1....1..1..1....0..1..0....1..1..0
%e ..0..0..0....1..1..0....0..0..0....0..1..1....1..0..1....0..1..0....1..1..1
%e ..0..0..0....1..1..1....0..1..1....0..1..1....0..0..0....1..1..1....0..1..1
%e ..0..1..0....0..1..0....1..0..0....1..1..1....1..0..0....1..1..1....1..0..1
%Y Cf. A189264.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 19 2011
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