%I #4 Apr 02 2018 14:47:58
%S 13,65,34,109,296,635,1563,3948,9405,22602,55730,135448,327429,798275,
%T 1944498,4720205,11478126,27935558,67913732,165112453,401615997,
%U 976675958,2374829337,5775344378,14045080684,34154018024,83055854601
%N Number of nX6 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Column 6 of A302163.
%H R. H. Hardin, <a href="/A302161/b302161.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +8*a(n-3) -5*a(n-5) -17*a(n-6) -2*a(n-7) +6*a(n-8) +10*a(n-9) +a(n-10) -a(n-11) +a(n-12) -a(n-14) -a(n-15) for n>26
%e Some solutions for n=5
%e ..0..1..1..0..1..0. .0..1..0..1..0..1. .0..1..1..0..1..0. .0..1..0..1..0..1
%e ..1..0..1..0..1..0. .0..1..0..1..1..0. .1..0..1..0..1..0. .1..1..0..1..0..0
%e ..1..0..1..0..1..0. .0..1..1..0..1..0. .1..0..1..0..1..1. .0..1..0..1..0..1
%e ..1..0..1..0..1..1. .1..0..1..0..1..0. .0..0..1..0..1..0. .0..1..0..1..0..1
%e ..1..0..1..0..1..0. .1..0..1..0..0..1. .1..0..1..0..1..0. .0..1..0..0..1..1
%Y Cf. A302163.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 02 2018