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Number of n X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 1 vertically
1

%I #7 Dec 18 2015 18:18:02

%S 2,16,72,576,3696,26244,198000,1638400,12913840,117722500,1052059680,

%T 10059287616,97769309736,1020075760144,10507456855392,116747852120064,

%U 1295601058976256,15148523442518244,177995312325281880

%N Number of n X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 1 vertically

%C Diagonal of A208069

%H R. H. Hardin, <a href="/A208063/b208063.txt">Table of n, a(n) for n = 1..32</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 23 2012