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Number of white square subarrays of (n+1)X(7+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero
2

%I #4 Nov 02 2013 07:17:50

%S 13,57,332,1573,8357,43004,223270,1168723,6098749,31928221,167211867,

%T 875862454,4590346691,24059996616,126124391879,661229366397,

%U 3466736635802,18176404398121,95303022729314,499702347782465

%N Number of white square subarrays of (n+1)X(7+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero

%C Column 7 of A230989

%H R. H. Hardin, <a href="/A230988/b230988.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 02 2013