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%I #6 Mar 08 2023 11:59:03
%S 3,9,14,33,90,204,527,1547,4509,13756,44003,143486,475482,1595723,
%T 5396281,18338839,62514686,213545607,730447004,2500465998,8563969469,
%U 29341435507,100548091093,344604361018,1181151528141,4048673516576
%N Number of n X 3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A317043.
%H R. H. Hardin, <a href="/A317038/b317038.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -7*a(n-2) +19*a(n-3) -60*a(n-4) +56*a(n-5) -70*a(n-6) +166*a(n-7) -101*a(n-8) +21*a(n-9) -30*a(n-10) +72*a(n-11) -41*a(n-12) -333*a(n-13) +428*a(n-14) -122*a(n-15) -36*a(n-16) +16*a(n-17) for n>19.
%e Some solutions for n=5
%e ..0..0..1. .0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..1..0
%e ..0..1..1. .1..0..0. .0..0..0. .0..0..0. .0..0..1. .0..0..1. .0..0..0
%e ..0..0..0. .1..0..1. .1..1..1. .0..0..1. .0..1..1. .1..0..1. .0..0..0
%e ..1..1..0. .1..0..0. .0..0..1. .0..0..0. .1..1..1. .0..0..1. .0..0..0
%e ..1..0..0. .0..0..0. .0..1..1. .0..0..0. .1..1..1. .0..0..0. .0..0..0
%Y Cf. A317043.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 19 2018
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