%I #4 Jan 10 2018 06:52:07
%S 0,3,8,20,124,501,2410,11304,53108,251672,1189220,5629257,26643680,
%T 126113485,596993794,2825991213,13377659542,63327123116,299778122298,
%U 1419092188131,6717710538398,31800362165742,150536862803822
%N Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.
%C Column 3 of A297978.
%H R. H. Hardin, <a href="/A297973/b297973.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +10*a(n-2) -22*a(n-3) -58*a(n-4) +51*a(n-5) +136*a(n-6) -75*a(n-7) -137*a(n-8) +70*a(n-9) +57*a(n-10) -33*a(n-11) -2*a(n-12) +8*a(n-13) for n>15
%e Some solutions for n=7
%e ..0..0..1. .0..1..1. .0..0..1. .0..0..0. .0..1..1. .0..0..0. .0..0..0
%e ..0..1..1. .0..0..1. .0..1..1. .0..1..0. .0..0..1. .0..1..0. .0..1..0
%e ..1..0..1. .0..1..0. .0..0..1. .1..1..1. .1..1..1. .1..1..1. .1..1..0
%e ..1..0..0. .1..0..1. .0..1..1. .1..0..0. .1..0..1. .0..0..1. .0..1..0
%e ..0..1..0. .1..1..0. .0..0..0. .1..0..0. .0..0..1. .0..1..0. .0..0..0
%e ..0..1..1. .0..1..0. .1..1..0. .1..1..0. .1..0..1. .1..0..0. .1..1..1
%e ..0..0..1. .0..0..0. .1..1..1. .1..0..0. .1..1..1. .1..1..0. .1..1..1
%Y Cf. A297978.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 10 2018
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