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%I #8 Dec 21 2018 20:03:58
%S 220,784,2520,8100,25056,77284,234848,712336,2148108,6471936,19455312,
%T 58461316,175520864,526886116,1581124008,4744454400,14234924508,
%U 42708355600,128130243176,384402480004,1153224445824,3459711600900
%N Number of (n+2) X (1+2) 0..1 arrays with no 3 x 3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum.
%H R. H. Hardin, <a href="/A258538/b258538.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) - 32*a(n-3) + 34*a(n-4) + 54*a(n-5) - 96*a(n-6) + 63*a(n-8) - 27*a(n-9).
%F Empirical g.f.: 4*x*(55 - 79*x - 350*x^2 + 635*x^3 + 541*x^4 - 1473*x^5 + 183*x^6 + 918*x^7 - 432*x^8) / ((1 - x)^3*(1 + x)*(1 - 3*x)*(1 - 3*x^2)^2). - _Colin Barker_, Dec 21 2018
%e Some solutions for n=4:
%e ..1..1..0....1..1..0....1..0..0....1..0..1....1..1..1....1..1..0....1..1..0
%e ..0..0..0....0..0..0....0..0..0....1..0..1....1..0..0....0..1..0....1..0..1
%e ..1..0..1....1..0..1....1..1..0....1..1..1....0..1..1....1..1..1....0..0..0
%e ..1..0..1....0..1..0....0..0..0....1..0..1....0..0..0....0..0..1....1..1..1
%e ..1..0..1....0..1..1....1..1..0....0..0..1....0..0..1....0..1..0....0..0..0
%e ..1..0..1....0..1..0....0..0..0....0..0..0....1..0..1....0..1..1....1..1..1
%Y Column 1 of A258545.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 02 2015
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