%I #4 Aug 09 2018 09:52:31
%S 0,1,1,6,4,5,10,36,34,43,100,238,256,404,834,1650,2029,3475,6656,
%T 11911,16264,28718,52073,88566,130729,231474,404502,672893,1047207,
%U 1838676,3138625,5185889,8345365,14484260,24389857,40314863,66171913,113604305
%N Number of nX3 0..1 arrays with every element unequal to 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A317871.
%H R. H. Hardin, <a href="/A317866/b317866.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = -a(n-1) -a(n-2) +2*a(n-3) +9*a(n-4) +9*a(n-5) +6*a(n-6) -9*a(n-7) -15*a(n-8) -14*a(n-9) +2*a(n-10) +10*a(n-11) +3*a(n-12) -3*a(n-13) -6*a(n-14) +a(n-15) +a(n-17) -a(n-18)
%e All solutions for n=5
%e ..0..1..0. .0..1..0. .0..1..0. .0..1..0
%e ..1..0..1. .1..1..1. .1..0..1. .1..1..0
%e ..1..1..1. .0..0..0. .0..0..1. .0..1..1
%e ..0..0..0. .0..1..0. .1..0..0. .0..1..0
%e ..1..0..1. .1..0..1. .1..0..1. .1..0..1
%Y Cf. A317871.
%K nonn
%O 1,4
%A _R. H. Hardin_, Aug 09 2018