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Number of nX6 0..1 arrays with every element unequal to 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jun 03 2018 13:19:33

%S 5,5,19,38,108,343,925,2627,7334,20665,56990,159501,448046,1238263,

%T 3464117,9688753,26905744,75167708,209780236,584191642,1630491607,

%U 4547388813,12677376191,35365875462,98624293125,275037739818

%N Number of nX6 0..1 arrays with every element unequal to 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A305516.

%H R. H. Hardin, <a href="/A305514/b305514.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A305514/a305514.txt">Empirical recurrence of order 91</a>

%F Empirical recurrence of order 91 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305516.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 03 2018