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%I #5 Mar 31 2012 12:37:03
%S 40,61,102,188,342,590,1051,1915,3308,5967,10934,19151,34428,62824,
%T 110673,199296,363428,644246,1160545,2112996,3762407,6782539,12337147,
%U 22050535,39775619,72285932,129577181,233878451,424749674,763172996
%N Number of (n+2)X3 0..1 arrays with every 3X3 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 1 of A204754
%H R. H. Hardin, <a href="/A204747/b204747.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +3*a(n-3) -10*a(n-4) +7*a(n-5) +7*a(n-6) -17*a(n-7) +6*a(n-8) +6*a(n-9) +4*a(n-10) -2*a(n-11) +4*a(n-12) -16*a(n-13) +8*a(n-14) for n>15
%e Some solutions for n=3
%e ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0....0..0..0
%e ..0..0..1....1..1..1....1..0..0....1..0..0....0..0..0....0..0..1....0..0..1
%e ..1..0..0....1..1..1....1..1..0....1..1..0....0..0..1....1..0..0....0..1..1
%e ..0..0..0....0..0..0....1..1..1....1..1..1....1..0..0....0..0..0....1..1..1
%e ..1..0..0....1..1..1....1..0..1....0..1..1....0..0..0....0..0..1....0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 18 2012
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