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%I #5 Mar 31 2012 12:37:02
%S 4664,5804,11331,22341,43620,85756,168567,334451,672081,1366044,
%T 2793653,5734032,11833402,24484245,50644733,105122828,218567557,
%U 454101052,945848184,1972351215,4109094663,8578179471,17922597153,37410414881
%N Number of (n+2)X7 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order
%C Column 5 of A204492
%H R. H. Hardin, <a href="/A204489/b204489.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +9*a(n-3) -5*a(n-4) -10*a(n-5) -7*a(n-6) -28*a(n-7) +17*a(n-8) -10*a(n-9) +52*a(n-10) -a(n-11) +6*a(n-12) -3*a(n-13) -14*a(n-14) +3*a(n-15) -17*a(n-16) +7*a(n-17) +4*a(n-18) -2*a(n-19) -4*a(n-21) +2*a(n-22) for n>32
%e Some solutions for n=3
%e ..0..0..0..1..0..0..0....0..1..0..0..1..1..0....0..0..0..0..1..1..0
%e ..0..1..0..0..1..0..1....1..1..1..0..0..1..1....0..1..1..0..0..1..1
%e ..1..0..1..0..0..1..1....1..0..1..1..0..0..1....1..1..0..1..0..0..1
%e ..0..1..0..1..0..0..0....0..1..0..1..1..0..0....0..1..1..0..1..0..1
%e ..0..0..1..0..1..0..1....0..1..1..0..1..1..0....0..0..1..1..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 15 2012
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