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A317378 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 4,5,18,36,94,270,731,1973,5388,14732,40185,109622,299224,816737,

%T 2229029,6083625,16604273,45318395,123687970,337583521,921372891,

%U 2514718793,6863464096,18732569928,51127124540,139542134747,380854732742

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317383.

%H R. H. Hardin, <a href="/A317378/b317378.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +5*a(n-3) +2*a(n-4) -3*a(n-5) -10*a(n-6) -8*a(n-7) for n>10

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317383.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 26 2018

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Last modified January 24 12:11 EST 2022. Contains 350536 sequences. (Running on oeis4.)