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Number of (n+1) X 5 binary arrays with every 2 X 2 subblock trace equal to some horizontal or vertical neighbor 2 X 2 subblock trace.
1

%I #7 Jun 26 2022 04:29:19

%S 144,2568,33768,458320,6315600,86568360,1188841336,16318664224,

%T 224021622784,3075298469624,42216821321040,579540226200864,

%U 7955761780283376,109214412937074224,1499264040329449904

%N Number of (n+1) X 5 binary arrays with every 2 X 2 subblock trace equal to some horizontal or vertical neighbor 2 X 2 subblock trace.

%C Column 4 of A185750.

%H R. H. Hardin, <a href="/A185745/b185745.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 3 X 5

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

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

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

%Y Cf. A185750.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2011