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

%I #4 Feb 23 2013 17:11:10

%S 0,11,35,84,423,1753,8489,39873,200999,988455,5011027,24887392,

%T 126164927,633230135,3213998827,16234077336,82517378821,418670560481,

%U 2132042077379,10852726670501,55367063804357,282538940546931,1443897042955709

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

%C Row 4 of A222509

%H R. H. Hardin, <a href="/A222512/b222512.txt">Table of n, a(n) for n = 1..82</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Feb 23 2013