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%I #7 Oct 01 2018 21:09:56
%S 6,32,156,800,4000,20228,101808,513400,2586980,13039568,65717568,
%T 331222548,1669362032,8413644600,42404958708,213722166160,
%U 1077165216736,5428941217444,27362005944240,137905229697144,695045979384260
%N Number of (n+1) X (2+1) 0..1 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to one.
%H R. H. Hardin, <a href="/A231992/b231992.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) + 12*a(n-2) - 5*a(n-3) - 19*a(n-4) + 2*a(n-5) + 4*a(n-6).
%F Empirical g.f.: 2*x*(1 + x)*(3 + 4*x - 10*x^2 - x^3 + 2*x^4) / (1 - 3*x - 12*x^2 + 5*x^3 + 19*x^4 - 2*x^5 - 4*x^6). - _Colin Barker_, Oct 01 2018
%e Some solutions for n=7:
%e ..1..0..0....0..0..1....1..0..0....0..0..0....1..0..0....0..0..0....0..0..0
%e ..0..1..0....0..0..0....0..0..0....1..1..0....0..1..0....0..0..1....1..0..1
%e ..1..0..1....0..0..0....1..0..0....0..0..0....1..0..0....0..0..0....0..1..0
%e ..0..0..0....0..1..1....0..0..0....1..0..0....0..0..0....0..1..1....1..0..0
%e ..0..1..0....1..0..0....0..0..0....0..0..0....1..0..1....1..0..0....0..1..1
%e ..1..0..0....0..0..0....1..0..1....0..0..1....0..1..0....0..0..0....0..0..0
%e ..1..0..0....0..0..0....0..0..1....1..0..0....1..0..0....1..0..0....0..0..0
%e ..0..0..1....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0....0..0..0
%Y Column 2 of A231997.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 16 2013
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