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%I #4 Apr 30 2018 17:10:48
%S 4,12,17,30,70,121,221,421,800,1511,2832,5340,10089,19009,35825,67558,
%T 127375,240150,452774,853653,1609501,3034561,5721352,10787091,
%U 20338064,38345504,72296881,136309037,256998009,484545858,913566127,1722443986
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.
%C Column 3 of A303800.
%H R. H. Hardin, <a href="/A303795/b303795.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +2*a(n-3) -a(n-5) -2*a(n-6) -2*a(n-7) for n>10
%e Some solutions for n=5
%e ..0..0..1. .0..1..1. .0..0..0. .0..0..0. .0..0..0. .0..1..0. .0..1..1
%e ..0..0..1. .0..1..1. .0..0..0. .0..0..0. .1..0..1. .0..0..1. .0..1..1
%e ..0..0..0. .1..1..1. .0..0..0. .0..0..0. .1..0..1. .0..0..0. .1..1..1
%e ..0..0..0. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .1..0..0. .1..1..1
%e ..1..1..0. .1..0..0. .1..1..0. .0..1..1. .0..0..0. .1..0..0. .0..0..1
%Y Cf. A303800.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 30 2018
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