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Number of (n+2) X 8 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly two different ways, and new values 0..1 introduced in row major order.
1

%I #11 Jul 28 2020 11:20:03

%S 75595,603605,5369493,48713811,462259671,4356486501,40833480416,

%T 385816144851,3642440054624,34249495945028,323403814654439,

%U 3050971738074998,28739189960559555,271179030317522975

%N Number of (n+2) X 8 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly two different ways, and new values 0..1 introduced in row major order.

%C Column 6 of A204867.

%H R. H. Hardin, <a href="/A204865/b204865.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2012