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%I #8 Dec 24 2018 08:29:37
%S 214,274,192,286,288,412,456,670,816,1194,1536,2242,2976,4338,5856,
%T 8530,11616,16914,23136,33682,46176,67218,92256,134290,184416,268434,
%U 368736,536722,737376,1073298,1474656,2146450,2949216,4292754,5898336,8585362
%N Number of (n+2) X (3+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3.
%H R. H. Hardin, <a href="/A258961/b258961.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-2) - 2*a(n-4) for n>10.
%F Empirical g.f.: 2*x*(107 + 137*x - 225*x^2 - 268*x^3 + 70*x^4 + 51*x^5 - 12*x^6 + 3*x^7 + 12*x^8 + 4*x^9) / ((1 - x)*(1 + x)*(1 - 2*x^2)). - _Colin Barker_, Dec 24 2018
%e Some solutions for n=4:
%e ..0..1..1..0..0....1..0..1..0..1....0..1..0..1..0....1..1..0..1..0
%e ..1..1..0..0..1....0..1..0..1..0....1..1..0..1..0....0..1..0..1..1
%e ..0..0..1..1..0....0..1..0..1..0....1..0..1..0..1....1..0..1..0..0
%e ..1..1..0..0..1....1..0..1..0..1....0..0..1..0..1....0..0..1..0..1
%e ..0..0..1..1..0....0..0..1..0..1....1..1..0..1..0....1..1..0..1..0
%e ..1..1..0..1..1....1..1..0..1..0....0..1..0..1..1....0..1..0..1..1
%Y Column 3 of A258966.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 15 2015
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