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Number of nX2 0..1 arrays with exactly floor(nX2/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
2

%I #4 Feb 14 2013 20:25:26

%S 0,0,4,11,8,44,144,352,692,2488,6476,17095,43308,131488,340000,939959,

%T 2520616,7194232,19142160,53471296,145636612,407743540,1107902624,

%U 3092203004,8488056840,23644607144,64986279340,181063135999,499746197884

%N Number of nX2 0..1 arrays with exactly floor(nX2/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order

%C Column 2 of A222290

%H R. H. Hardin, <a href="/A222284/b222284.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_ Feb 14 2013