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Number of white square subarrays of (n+1)X(n+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero
1

%I #5 Nov 02 2013 07:13:31

%S 1,1,11,47,685,7357,223270,5447557,367167586,19728028907,

%T 2960154980175,351638142057035,116764729695106769,

%U 30699761856170182376,22542682942448533813110,13106281552221398203554555

%N Number of white square subarrays of (n+1)X(n+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero

%C Diagonal of A230989

%H R. H. Hardin, <a href="/A230982/b230982.txt">Table of n, a(n) for n = 1..18</a>

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_, Nov 02 2013