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%I #8 Jul 03 2018 14:56:21
%S 28,784,896,3024,9912,33488,111328,374416,1249472,4192384,14013664,
%T 46966976,157118976,526293824,1761299456,5898133248,19742507904,
%U 66103688448,221286062592,740881883392,2480260385792,8303825768448
%N Number of 7 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically.
%C Row 7 of A208501.
%H R. H. Hardin, <a href="/A208505/b208505.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) + 8*a(n-2) - 10*a(n-3) - 8*a(n-4) + 8*a(n-5) for n>7.
%F Empirical g.f.: 28*x*(1 + 26*x - 32*x^2 - 170*x^3 + 170*x^4 + 160*x^5 - 136*x^6) / (1 - 2*x - 8*x^2 + 10*x^3 + 8*x^4 - 8*x^5). - _Colin Barker_, Jul 03 2018
%e Some solutions for n=4:
%e ..1..1..1..0....0..1..0..1....0..1..1..0....0..1..1..0....1..0..1..1
%e ..1..0..1..1....0..1..0..0....0..1..0..0....1..0..1..0....1..1..1..1
%e ..0..1..0..1....1..0..1..0....1..0..1..1....1..1..0..1....0..1..0..0
%e ..0..1..1..0....1..1..1..0....1..0..1..1....0..1..0..1....1..0..1..1
%e ..1..0..1..1....0..1..0..0....0..1..0..0....1..0..1..0....1..0..1..1
%e ..1..1..0..1....1..0..1..1....1..1..1..1....1..1..1..0....0..1..0..0
%e ..0..1..0..0....1..1..1..1....1..0..1..1....0..1..0..1....1..1..1..1
%Y Cf. A208501.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 27 2012
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