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A208383 Number of 7 X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.

%I A208383 #8 Jul 02 2018 09:01:42
%S A208383 14,196,216,1200,4416,14976,60984,231744,851400,3276624,12438144,
%T A208383 46737936,177585096,673147200,2544020136,9639951936,36515578944,
%U A208383 138204393264,523395873000,1982108510304,7504603109784,28417632893376
%N A208383 Number of 7 X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.
%C A208383 Row 7 of A208379.
%H A208383 R. H. Hardin, <a href="/A208383/b208383.txt">Table of n, a(n) for n = 1..210</a>
%F A208383 Empirical: a(n) = a(n-1) + 4*a(n-2) + 21*a(n-3) + 14*a(n-4) - 5*a(n-5) + 25*a(n-6) for n>8.
%F A208383 Empirical g.f.: 2*x*(7 + 91*x - 18*x^2 - 47*x^3 - 980*x^4 - 725*x^5 + 375*x^6 - 1250*x^7) / (1 - x - 4*x^2 - 21*x^3 - 14*x^4 + 5*x^5 - 25*x^6). - _Colin Barker_, Jul 02 2018
%e A208383 Some solutions for n=4:
%e A208383 ..1..1..0..1....0..0..1..0....0..1..1..0....1..1..0..1....1..0..1..0
%e A208383 ..1..1..0..0....0..0..1..1....1..0..0..1....0..1..0..1....1..0..0..1
%e A208383 ..1..1..0..0....0..0..1..0....1..0..0..1....0..1..0..0....1..0..0..1
%e A208383 ..1..1..0..0....0..0..1..0....1..0..0..1....0..1..0..0....1..0..0..1
%e A208383 ..1..1..0..0....0..0..1..0....1..0..0..1....0..1..0..0....1..0..0..1
%e A208383 ..1..1..0..0....0..0..1..0....1..0..0..1....0..1..0..0....1..0..0..1
%e A208383 ..1..1..0..0....0..0..1..0....1..0..0..1....0..1..0..0....1..0..0..1
%Y A208383 Cf. A208379.
%K A208383 nonn
%O A208383 1,1
%A A208383 _R. H. Hardin_, Feb 25 2012