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%I #4 Jun 10 2018 09:31:50
%S 4,30,141,684,3282,15874,76613,370087,1787161,8631009,41682223,
%T 201299206,972149367,4694874104,22673308188,109497913757,528806506293,
%U 2553805037346,12333282715847,59562049771856,287647486358008
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A305769.
%H R. H. Hardin, <a href="/A305764/b305764.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +9*a(n-2) -6*a(n-4) +12*a(n-5) -3*a(n-6) -27*a(n-7) +17*a(n-8) -4*a(n-9) -7*a(n-10) +a(n-11)
%e Some solutions for n=5
%e ..0..1..1. .0..1..1. .0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..1..1
%e ..1..1..1. .1..0..0. .0..1..1. .0..0..0. .1..1..1. .1..1..0. .0..0..1
%e ..1..1..1. .0..0..1. .1..1..1. .1..0..1. .1..0..0. .1..0..1. .0..1..0
%e ..1..1..1. .1..1..0. .0..1..1. .1..1..0. .0..0..0. .1..1..1. .0..0..0
%e ..0..0..1. .1..1..1. .0..0..0. .0..0..1. .1..1..1. .1..1..0. .1..1..0
%Y Cf. A305769.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 10 2018
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