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%I #4 Jan 17 2018 07:13:34
%S 3,3,3,9,17,48,94,234,589,1333,3352,8249,19791,49537,121580,298541,
%T 742378,1829015,4522372,11211918,27706062,68616420,169961599,
%U 420628570,1041975554,2580637115,6390580550,15830521413,39209427019,97117538254
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A298320.
%H R. H. Hardin, <a href="/A298315/b298315.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +4*a(n-2) +12*a(n-3) -15*a(n-4) -40*a(n-5) -53*a(n-6) +62*a(n-7) +133*a(n-8) +92*a(n-9) -92*a(n-10) -146*a(n-11) -11*a(n-12) +102*a(n-13) +49*a(n-14) -49*a(n-15) -64*a(n-16) -48*a(n-17) for n>18
%e Some solutions for n=7
%e ..0..1..0. .0..1..0. .0..1..1. .0..1..1. .0..1..1. .0..0..1. .0..1..0
%e ..1..1..1. .0..1..0. .1..1..1. .0..1..1. .1..1..1. .0..0..0. .0..1..0
%e ..1..1..1. .0..0..0. .1..1..0. .0..0..1. .1..0..1. .0..1..0. .1..1..1
%e ..0..0..1. .0..0..1. .1..0..1. .1..0..1. .1..0..1. .0..0..1. .0..1..0
%e ..0..0..1. .1..0..0. .1..1..1. .0..1..1. .1..1..1. .0..1..1. .0..1..0
%e ..0..1..1. .0..0..0. .1..0..1. .1..1..1. .1..0..1. .0..0..1. .1..1..1
%e ..0..1..1. .0..0..1. .1..0..1. .1..1..0. .1..0..1. .0..0..1. .0..1..0
%Y Cf. A298320.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 17 2018
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