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A317692 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 3,9,14,33,92,220,593,1787,5401,16954,55199,182686,613262,2081449,

%T 7111645,24412407,84069938,290115461,1002577520,3467926870,

%U 12002906321,41560738593,143945514141,498643272858,1727563137885,5985662474410

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317697.

%H R. H. Hardin, <a href="/A317692/b317692.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -6*a(n-2) +16*a(n-3) -60*a(n-4) +43*a(n-5) -36*a(n-6) +156*a(n-7) -49*a(n-8) -12*a(n-9) -91*a(n-10) +28*a(n-11) -94*a(n-12) -121*a(n-13) +362*a(n-14) -148*a(n-15) -28*a(n-16) +16*a(n-17) for n>19

%e Some solutions for n=5

%e ..0..0..1. .0..0..0. .0..0..1. .0..1..1. .0..0..1. .0..1..1. .0..0..0

%e ..0..1..1. .0..1..0. .0..0..0. .0..0..1. .0..1..1. .1..1..1. .0..0..1

%e ..1..1..1. .0..0..0. .0..1..1. .1..1..1. .1..1..1. .1..1..1. .0..1..1

%e ..1..1..1. .0..0..0. .0..0..0. .1..0..0. .1..1..1. .1..0..1. .1..1..1

%e ..1..1..1. .0..0..0. .0..0..1. .1..1..0. .0..1..1. .1..1..1. .1..1..1

%Y Cf. A317697.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 04 2018

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Last modified January 20 10:09 EST 2022. Contains 350471 sequences. (Running on oeis4.)