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Number of n X 5 binary arrays without the pattern 0 0 1 1 diagonally, vertically or horizontally.
1

%I #7 Jul 28 2022 21:53:16

%S 28,784,21952,424401,8210464,151889331,2710884810,48083827685,

%T 844714479714,14772128520081,257802672361640,4491710608316816,

%U 78198928468727304,1360792591701114315,23673324742422186018

%N Number of n X 5 binary arrays without the pattern 0 0 1 1 diagonally, vertically or horizontally.

%C Column 5 of A189161.

%H R. H. Hardin, <a href="/A189157/b189157.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 4 X 5

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

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

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

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

%Y Cf. A189161.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 17 2011