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Number of (4+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 #4 Nov 16 2013 13:42:55

%S 64,800,8464,80511,674041,6257919,59351616,552794085,5097817201,

%T 47195896740,438136762561,4064453149200,37678579570944,

%U 349334350156955,3239408289640000,30038648311142380,278531798728132161

%N Number of (4+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to one

%C Row 4 of A231997

%H R. H. Hardin, <a href="/A232001/b232001.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 16 2013