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%I #4 Dec 21 2017 12:20:07
%S 1,21,94,352,2133,11930,60772,326592,1772900,9465417,50680823,
%T 272327824,1460652327,7831666171,42016275835,225392908023,
%U 1208952350028,6484936659738,34786259866407,186595358346906,1000910649083880
%N Number of nX3 0..1 arrays with each 1 adjacent to 2, 3 or 4 king-move neighboring 1s.
%C Column 3 of A296827.
%H R. H. Hardin, <a href="/A296822/b296822.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +3*a(n-2) +35*a(n-3) -38*a(n-4) -111*a(n-5) -176*a(n-6) +144*a(n-7) +267*a(n-8) +147*a(n-9) -110*a(n-10) -107*a(n-11) +56*a(n-12) +58*a(n-13) +49*a(n-14) -10*a(n-15) -18*a(n-16)
%e Some solutions for n=7
%e ..0..0..0. .0..1..0. .0..0..1. .1..0..0. .1..1..0. .1..0..0. .0..1..0
%e ..0..0..1. .0..1..1. .1..1..1. .1..1..0. .1..0..0. .1..1..0. .1..1..0
%e ..0..1..1. .0..0..0. .0..1..0. .1..0..1. .0..1..1. .0..1..0. .1..0..1
%e ..0..0..0. .0..1..0. .0..0..0. .0..1..1. .0..1..1. .0..1..1. .0..1..0
%e ..1..1..0. .0..1..1. .0..0..1. .0..1..0. .0..0..0. .0..1..0. .0..1..1
%e ..1..0..1. .1..1..0. .0..1..1. .1..0..0. .0..1..0. .1..0..1. .1..0..1
%e ..1..1..1. .0..0..0. .0..0..0. .1..1..0. .1..1..0. .0..1..0. .0..1..0
%Y Cf. A296827.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 21 2017
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