%I #4 Jul 26 2018 16:58:48
%S 4,5,18,36,94,270,731,1973,5388,14732,40185,109622,299224,816737,
%T 2229029,6083625,16604273,45318395,123687970,337583521,921372891,
%U 2514718793,6863464096,18732569928,51127124540,139542134747,380854732742
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A317383.
%H R. H. Hardin, <a href="/A317378/b317378.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +3*a(n-2) +5*a(n-3) +2*a(n-4) -3*a(n-5) -10*a(n-6) -8*a(n-7) for n>10
%e Some solutions for n=5
%e ..0..0..0. .0..0..0. .0..1..1. .0..0..0. .0..0..0. .0..1..0. .0..1..0
%e ..0..0..1. .0..1..0. .0..1..1. .0..0..1. .0..0..0. .0..0..0. .0..0..0
%e ..0..0..0. .0..0..0. .0..0..0. .1..0..0. .0..0..0. .0..1..0. .1..0..0
%e ..0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..1..0. .1..0..1. .0..0..0
%e ..0..0..0. .0..0..0. .0..1..0. .0..1..0. .0..0..0. .1..1..1. .0..0..0
%Y Cf. A317383.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 26 2018
|