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

%I #4 Nov 13 2013 15:40:26

%S 79,1120,12044,157633,2192216,28305214,366087332,4826593439,

%T 63283320895,827033366868,10831573790976,141903049279328,

%U 1857902857802297,24326983816573797,318576055640965669,4171712964183455649

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

%C Column 4 of A231806

%H R. H. Hardin, <a href="/A231802/b231802.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 13 2013