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Half the number of n X 10 binary arrays with no element equal to a strict majority of its horizontal and vertical neighbors.
1

%I #7 Aug 01 2023 17:44:55

%S 34,90,2199,57249,2113257,71244598,2447317278,83828453334,

%T 2872365166632,98443712937832,3374443074400317,115681374040641527,

%U 3965953010347657340,135970823441576045577,4661739412614625916040,159827567992214512088271

%N Half the number of n X 10 binary arrays with no element equal to a strict majority of its horizontal and vertical neighbors.

%C Column 10 of A183312.

%H R. H. Hardin, <a href="/A183311/b183311.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions with a(1,1)=0 for 10 X 4

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

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

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

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

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

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

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

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

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

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

%Y Cf. A183312.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2011