%I
%S 4,13,20,27,43,70,106,169,276,444,720,1183,1947,3207,5311,8826,14681,
%T 24474,40897,68419,114596,192212,322715,542258,911962,1534860,2584781,
%U 4355511,7343271,12386305,20901774,35285703,59589460,100666009,170109263
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4 or 7 kingmove adjacent elements, with upper left element zero.
%C Column 3 of A298494.
%H R. H. Hardin, <a href="/A298489/b298489.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n1) 2*a(n2) +3*a(n3) 9*a(n4) +4*a(n5) a(n6) +9*a(n7) 3*a(n8) a(n9) 4*a(n10) +2*a(n11) for n>12
%e Some solutions for n=9
%e ..0..0..0. .0..1..0. .0..1..0. .0..1..1. .0..1..0. .0..1..0. .0..0..0
%e ..1..1..1. .1..1..0. .1..0..1. .0..1..0. .1..0..0. .1..1..0. .1..1..1
%e ..1..0..1. .1..1..0. .1..0..0. .1..0..1. .0..1..1. .1..1..0. .1..0..1
%e ..1..1..1. .0..1..0. .1..0..0. .1..0..0. .1..0..1. .0..1..0. .1..1..1
%e ..1..1..1. .1..0..1. .1..0..1. .1..0..0. .0..1..1. .1..1..0. .1..1..1
%e ..1..0..1. .0..1..0. .0..0..1. .1..0..1. .1..0..0. .1..1..0. .1..0..1
%e ..1..1..1. .1..0..1. .0..0..1. .0..1..0. .0..1..0. .0..1..0. .1..1..1
%e ..0..0..0. .0..1..0. .1..0..1. .1..0..1. .1..0..0. .1..0..1. .0..0..0
%e ..0..1..0. .0..1..1. .0..0..1. .1..0..0. .0..1..1. .0..1..0. .1..1..1
%Y Cf. A298494.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 20 2018
