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Number of 3Xn 0..1 arrays with exactly floor(3Xn/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 03:05:39

%S 0,4,13,66,158,934,2446,14567,39972,240130,673665,4073862,11545686,

%T 70212506,200446066,1224207384,3512430906,21526789216,62001340484,

%U 381049009426,1100824791540,6780941436208,19637801359798,121196222602133

%N Number of 3Xn 0..1 arrays with exactly floor(3Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order

%C Row 3 of A222769

%H R. H. Hardin, <a href="/A222771/b222771.txt">Table of n, a(n) for n = 1..48</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 05 2013