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

%I #6 Oct 29 2022 15:21:01

%S 1249,107961,4939746,366087332,28958572406,1970546390784,

%T 136680218773938,9808061040482828,693953774304547007,

%U 48867075693434362194,3457558595582098147106,244630982643975599107264

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

%C Column 7 of A231806.

%H R. H. Hardin, <a href="/A231805/b231805.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=2

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

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

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

%Y Cf. A231806.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 13 2013