%I #4 Aug 01 2018 13:36:12
%S 4,23,100,435,1959,8872,40080,181116,818827,3702099,16737863,75676531,
%T 342158969,1547018148,6994611112,31625128427,142988537981,
%U 646502561252,2923070791847,13216256140714,59755457387534,270175964460613
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A317604.
%H R. H. Hardin, <a href="/A317599/b317599.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -2*a(n-3) -34*a(n-4) -13*a(n-5) +8*a(n-6) +114*a(n-7) +36*a(n-8) -48*a(n-9) -68*a(n-10) +13*a(n-11) +14*a(n-12) -21*a(n-13) -21*a(n-14) -22*a(n-15) -8*a(n-16) for n>17
%e Some solutions for n=5
%e ..0..1..1. .0..1..1. .0..0..0. .0..0..0. .0..0..0. .0..1..1. .0..0..1
%e ..1..1..1. .1..1..1. .1..1..0. .0..0..0. .1..0..1. .0..0..1. .0..1..0
%e ..1..0..0. .1..0..1. .1..1..0. .0..0..0. .1..1..1. .0..0..0. .0..0..0
%e ..0..1..0. .0..0..0. .0..0..0. .0..1..0. .1..1..0. .0..1..0. .1..1..0
%e ..0..1..1. .0..0..1. .1..0..0. .1..0..0. .0..1..1. .0..1..1. .0..1..1
%Y Cf. A317604.
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 01 2018