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%I #8 Sep 29 2018 08:45:53
%S 2,6,14,35,90,225,569,1441,3640,9208,23293,58912,149023,376961,953533,
%T 2412030,6101388,15433867,39041066,98757133,249813189,631920345,
%U 1598487728,4043489236,10228295949,25873208028,65448135355,165555752805
%N Number of n X 2 0..1 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors.
%H R. H. Hardin, <a href="/A231509/b231509.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) + a(n-2) + 3*a(n-3) - 4*a(n-4) - 2*a(n-5) - 4*a(n-6).
%F Empirical g.f.: x*(2 + 2*x - 5*x^3 - 4*x^4 - 4*x^5) / (1 - 2*x - x^2 - 3*x^3 + 4*x^4 + 2*x^5 + 4*x^6). - _Colin Barker_, Sep 29 2018
%e Some solutions for n=7:
%e ..0..1....0..0....0..0....0..0....0..1....1..0....0..1....0..0....1..1....0..1
%e ..0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0
%e ..0..1....0..0....0..1....0..0....0..0....0..0....0..0....0..0....0..0....0..0
%e ..0..0....0..0....0..0....1..1....1..1....0..0....0..0....0..0....0..0....0..0
%e ..0..0....0..0....1..0....0..0....0..0....0..1....0..0....1..1....1..0....0..0
%e ..0..0....0..0....0..1....0..0....0..0....0..0....0..0....1..1....0..1....0..1
%e ..0..1....0..1....0..0....0..1....1..1....0..1....1..1....1..1....0..0....0..0
%Y Column 2 of A231515.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 09 2013