%I #8 Jun 07 2018 09:51:05

%S 113,63,75,87,111,153,217,323,495,771,1219,1945,3117,5015,8087,13055,

%T 21095,34105,55153,89211,144319,233483,377755,611193,988901,1600047,

%U 2588903,4188903,6777759,10966617,17744329,28710899,46455183,75166035

%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 or nw-to-se diagonally exactly three ways, and new values 0..1 introduced in row major order.

%C Column 4 of A204381.

%H R. H. Hardin, <a href="/A204377/b204377.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) -a(n-4) -a(n-5) for n>8.

%F Empirical g.f.: x*(113 - 50*x - 101*x^2 - 164*x^3 - x^4 + 56*x^5 + 4*x^6 + 4*x^7) / ((1 - x)*(1 - x - x^2)*(1 + x + x^2)). - _Colin Barker_, Jun 07 2018

%e Some solutions for n=3:

%e ..0..1..1..0..0..0....0..1..0..1..0..0....0..0..0..0..1..0....0..1..0..0..1..1

%e ..0..1..1..0..0..1....0..1..0..1..0..0....1..1..1..1..1..1....0..1..0..0..1..1

%e ..0..1..1..0..0..1....0..1..0..1..0..0....1..1..1..1..1..1....0..1..0..0..1..1

%e ..0..1..1..0..0..1....0..1..0..1..0..0....0..1..0..0..0..0....0..1..0..0..1..1

%e ..0..1..1..0..0..1....0..1..0..1..0..0....0..1..1..1..1..1....0..0..0..0..1..1

%Y Cf. A204381.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 14 2012