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Number of (n+1) X 5 binary arrays with every 2 X 2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2 X 2 subblock traces.
1

%I #7 Jul 31 2023 13:55:18

%S 144,1664,10496,59720,400192,2504264,16124472,102475864,654285152,

%T 4168475512,26600834384,169634278408,1082068348632,6900437984584,

%U 44011928616896,280696997413664,1790295379221024,11418170020374768

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

%C Column 4 of A186939.

%H R. H. Hardin, <a href="/A186934/b186934.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 4 X 5

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

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

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

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

%Y Cf. A186939.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 01 2011