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%I #6 Jan 16 2018 11:33:56
%S 1,13,22,124,409,1921,8908,41933,204016,988083,4818956,23520912,
%T 114859013,561215577,2742234243,13400786521,65488989956,320045756818,
%U 1564085835402,7643812356261,37356003891307,182562316287946
%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.
%C Column 3 of A298240.
%H R. H. Hardin, <a href="/A298235/b298235.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +7*a(n-2) -32*a(n-3) -51*a(n-4) +118*a(n-5) +121*a(n-6) -249*a(n-7) -90*a(n-8) +292*a(n-9) -150*a(n-11) +2*a(n-12) +12*a(n-13) for n>15
%e Some solutions for n=5
%e ..0..1..0. .0..1..1. .0..0..1. .0..0..0. .0..1..1. .0..1..0. .0..1..1
%e ..1..1..1. .0..0..1. .0..1..1. .0..1..0. .1..1..0. .0..0..0. .0..0..1
%e ..0..0..0. .1..1..0. .1..1..1. .0..1..1. .0..1..1. .0..1..1. .0..1..0
%e ..0..0..1. .0..1..0. .0..0..0. .0..0..1. .0..0..0. .1..1..0. .1..1..0
%e ..0..1..1. .0..0..0. .1..0..1. .1..0..0. .1..0..1. .1..0..0. .1..0..0
%Y Cf. A298240.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 15 2018
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