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Number of (7+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one
1

%I #4 Nov 13 2013 09:06:10

%S 784,338352,18318400,893571840,85629975876,8624298007460,

%T 682267982467600,52970839821218880,4456718983049324644,

%U 378011756367282007468,31157229662166847152384,2561630098398545354807964

%N Number of (7+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one

%C Row 7 of A231764

%H R. H. Hardin, <a href="/A231771/b231771.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=1

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 13 2013