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%I #4 May 12 2018 09:35:31
%S 1,25,124,836,5227,33263,210954,1338995,8497693,53931843,342283175,
%T 2172337312,13786969248,87500479337,555331175880,3524468904668,
%U 22368420155320,141963579269696,900987092575923,5718211285108957
%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.
%C Column 3 of A304427.
%H R. H. Hardin, <a href="/A304422/b304422.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +15*a(n-2) +7*a(n-3) -36*a(n-4) -72*a(n-5) -51*a(n-6) -29*a(n-7) -19*a(n-8) -4*a(n-9) for n>10
%e Some solutions for n=5
%e ..0..0..1. .0..1..1. .0..1..1. .0..1..1. .0..1..0. .0..0..0. .0..1..1
%e ..1..0..1. .0..0..0. .1..0..0. .1..0..0. .0..0..0. .1..0..1. .1..0..0
%e ..1..0..0. .0..0..0. .1..1..0. .0..0..1. .1..0..1. .0..1..0. .1..0..0
%e ..1..1..0. .1..0..1. .1..0..0. .0..1..0. .1..0..1. .1..1..1. .1..0..1
%e ..1..0..0. .0..1..0. .0..1..1. .1..1..0. .0..1..0. .0..0..0. .0..1..1
%Y Cf. A304427.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 12 2018