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%I #4 Jan 11 2018 08:20:11
%S 0,2,4,13,63,253,953,3802,15108,59873,236880,937385,3712010,14698259,
%T 58191701,230387790,912154985,3611432057,14298421381,56610374096,
%U 224132267313,887386743512,3513350051164,13910087469748,55072945693414
%N Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A298070.
%H R. H. Hardin, <a href="/A298065/b298065.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +a(n-3) -2*a(n-4) -9*a(n-5) -43*a(n-6) +8*a(n-7) +97*a(n-8) +27*a(n-9) -91*a(n-10) -37*a(n-11) +15*a(n-12) -14*a(n-13) +18*a(n-14) +10*a(n-15) -a(n-16) +2*a(n-17)
%e Some solutions for n=7
%e ..0..0..0. .0..0..0. .0..0..1. .0..0..0. .0..1..1. .0..1..1. .0..1..1
%e ..0..1..0. .0..1..0. .0..1..1. .0..1..0. .0..0..1. .0..0..1. .0..0..1
%e ..1..1..1. .0..1..1. .1..0..0. .0..1..1. .0..1..1. .1..0..0. .0..1..1
%e ..0..0..1. .0..1..1. .1..0..0. .0..1..0. .0..0..1. .1..1..1. .1..0..1
%e ..0..0..1. .0..0..0. .1..1..0. .0..0..0. .0..1..1. .1..1..1. .1..0..0
%e ..1..1..0. .1..0..1. .1..0..0. .0..1..0. .0..1..0. .1..0..0. .1..0..0
%e ..1..0..0. .1..1..1. .1..1..0. .1..1..1. .0..0..0. .1..1..0. .1..1..0
%Y Cf. A298070.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 11 2018
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