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Number of (n+1) X (n+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to one.
0

%I #6 Apr 25 2023 13:05:30

%S 5,61,1699,157633,55365917,49517022951,136680218773938,

%T 1238966901352323684,33422575469205248761449,

%U 2727001865924519366481416822

%N Number of (n+1) X (n+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to one.

%C Diagonal of A231806.

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A231806.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 13 2013