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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 vertical neighbors equal to one
1

%I #5 Nov 16 2013 07:52:58

%S 9,56,841,43983,6507601,2641967397,3036560660329,9981109155098235,

%T 93538123901225727364,2480246214908598898309094,

%U 186787722909431013956841219409,39975590681225962593258073864460074

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

%C Diagonal of A231977

%H R. H. Hardin, <a href="/A231970/b231970.txt">Table of n, a(n) for n = 1..15</a>

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 16 2013