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

%I #5 Nov 16 2013 13:25:36

%S 4,32,1024,80511,15594601,9716967198,17330552348004,86052358301456560,

%T 1193370539733163272100,47736311347811120780540634,

%U 5427560264549933547128560973449,1747506522236821289436659004322720324

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

%C Diagonal of A231997

%H R. H. Hardin, <a href="/A231991/b231991.txt">Table of n, a(n) for n = 1..19</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 16 2013