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Number of (n+2)X7 binary arrays avoiding patterns 001 and 111 in rows and columns
1

%I #5 Mar 31 2012 12:36:47

%S 2815,13751,54611,182411,589613,1727073,4830102,12936204,33205183,

%T 82794590,200519323,474103610,1097910960,2494672305,5575864988,

%U 12279125958,26681330332,57283519350,121646873615,255765799468

%N Number of (n+2)X7 binary arrays avoiding patterns 001 and 111 in rows and columns

%C Column 5 of A202378

%H R. H. Hardin, <a href="/A202375/b202375.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 18 2011