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Number of 4Xn 0..1 arrays with exactly floor(4Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order
1

%I #4 Mar 05 2013 03:06:29

%S 0,20,96,465,2608,15077,89811,544302,3349328,20823047,130535918,

%T 823585242,5221057054,33231082276,212180118775,1358528423728,

%U 8718262087314,56062919553225,361148981248207,2330144611056838

%N Number of 4Xn 0..1 arrays with exactly floor(4Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order

%C Row 4 of A222769

%H R. H. Hardin, <a href="/A222772/b222772.txt">Table of n, a(n) for n = 1..45</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 05 2013