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Number of (n+2)X8 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order
1

%I #5 Mar 31 2012 12:37:12

%S 86251,910169,11172263,138177925,1731487818,21966491761,278034719471,

%T 3516414118117,44628923555800,565813299809571,7168644306531356,

%U 90922800550397291,1152828653381785625,14613172033518086974

%N Number of (n+2)X8 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order

%C Column 6 of A206659

%H R. H. Hardin, <a href="/A206657/b206657.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 11 2012