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Number of (n+1) X 8 binary arrays with every 2 X 2 subblock trace equal to some horizontal or vertical neighbor 2 X 2 subblock trace.
1

%I #7 Mar 24 2023 10:05:21

%S 2688,304584,18242392,1188841336,77691779712,5075186680192,

%T 331658427568088,21671299631697840,1416043303932297408,

%U 92529833667730376464,6046241027601786546504,395082861406622455945776

%N Number of (n+1) X 8 binary arrays with every 2 X 2 subblock trace equal to some horizontal or vertical neighbor 2 X 2 subblock trace.

%C Column 7 of A185750.

%H R. H. Hardin, <a href="/A185748/b185748.txt">Table of n, a(n) for n = 1..169</a>

%e Some solutions for 3 X 8

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

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

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

%Y Cf. A185750.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2011