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%I #11 Jun 09 2018 18:57:56
%S 188,28,27,32,40,53,74,108,163,252,396,629,1006,1616,2603,4200,6784,
%T 10965,17730,28676,46387,75044,121412,196437,317830,514248,832059,
%U 1346288,2178328,3524597,5702906,9227484,14930371,24157836,39088188
%N Number of (n+2) X 6 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..1 introduced in row major order.
%C Column 4 of A204754.
%H R. H. Hardin, <a href="/A204750/b204750.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) - a(n-3) for n > 5.
%F Empirical g.f.: x*(188 - 348*x - 29*x^2 + 166*x^3 + 4*x^4) / ((1 - x)*(1 - x - x^2)). - _Colin Barker_, Jun 09 2018
%e Some solutions for n=3:
%e 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0
%e 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0
%e 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0
%e 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0
%e 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0
%Y Cf. A204754.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 18 2012