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Half the number of nX8 binary arrays with no element equal to a strict majority of its horizontal and vertical neighbors
2

%I #5 Mar 31 2012 12:35:50

%S 13,35,452,5700,94217,1447110,22504107,348871589,5406312318,

%T 83828453334,1300167830235,20168484726903,312884691407215,

%U 4853992391306949,75303212625271575,1168225180318165057,18123347504407854750

%N Half the number of nX8 binary arrays with no element equal to a strict majority of its horizontal and vertical neighbors

%C Column 8 of A183312

%H R. H. Hardin, <a href="/A183309/b183309.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions with a(1,1)=0 for 8X4

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 03 2011