%I #4 Aug 16 2018 10:19:57
%S 1,2,2,7,7,11,15,62,104,141,275,741,1325,2194,4346,9703,17959,32463,
%T 64123,132534,250208,470401,923631,1843613,3523413,6742322,13174390,
%U 25884507,49819771,96089259,187177999,365170718,705571836,1365582829
%N Number of nX3 0..1 arrays with every element unequal to 0, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A318091.
%H R. H. Hardin, <a href="/A318086/b318086.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) +4*a(n-4) -12*a(n-5) +7*a(n-6) -12*a(n-7) +20*a(n-8) -6*a(n-9) +13*a(n-10) +10*a(n-11) -19*a(n-12) -2*a(n-13) -26*a(n-14) +26*a(n-15) -4*a(n-16) +10*a(n-17) -10*a(n-18) -2*a(n-19) -a(n-20) +a(n-22) +a(n-24)
%e All solutions for n=5
%e ..0..1..0. .0..1..0. .0..0..0. .0..0..1. .0..1..0. .0..1..0. .0..1..0
%e ..1..0..1. .1..1..0. .0..0..0. .0..1..0. .1..1..1. .1..0..1. .1..1..0
%e ..0..0..1. .0..1..1. .0..0..0. .1..1..0. .0..0..0. .1..1..1. .0..1..1
%e ..1..0..0. .0..1..0. .0..0..0. .0..1..1. .0..1..0. .0..0..0. .0..1..0
%e ..1..0..1. .1..0..1. .0..0..0. .0..1..0. .1..0..1. .1..0..1. .1..0..0
%Y Cf. A318091.
%K nonn
%O 1,2
%A _R. H. Hardin_, Aug 16 2018