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Number of (n+1)X(4+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 08:58:23

%S 315,2976,38160,493695,5879679,71884125,893571840,10965349591,

%T 134407778400,1654812479232,20352945004533,250055045333667,

%U 3074220674469117,37799970801628952,464662025973498675

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

%C Column 4 of A231764

%H R. H. Hardin, <a href="/A231760/b231760.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 13 2013