%I #4 May 04 2018 11:19:12
%S 1,7,13,21,27,53,99,197,371,713,1365,2645,5105,9857,19079,36861,71379,
%T 138165,267465,518201,1003521,1944649,3767939,7302057,14153291,
%U 27432325,53179669,103092661,199871009,387518385,751360183,1456897269,2824988675
%N Number of nX3 0..1 arrays with every element unequal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero.
%C Column 3 of A304010.
%H R. H. Hardin, <a href="/A304005/b304005.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +5*a(n-2) -a(n-3) -12*a(n-4) -2*a(n-5) +10*a(n-6) +2*a(n-7) +a(n-8) +7*a(n-9) -3*a(n-10) -19*a(n-11) -2*a(n-12) +2*a(n-13) -4*a(n-14) +10*a(n-15) +6*a(n-16) for n>17
%e Some solutions for n=5
%e ..0..1..0. .0..1..0. .0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0
%e ..0..1..1. .1..1..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1. .0..0..0
%e ..1..0..0. .0..0..0. .0..0..0. .1..0..1. .1..1..1. .0..1..0. .0..0..0
%e ..1..1..0. .0..0..0. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .1..1..1
%e ..0..1..0. .1..1..1. .1..1..1. .1..1..1. .0..0..0. .1..0..1. .0..1..0
%Y Cf. A304010.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 04 2018