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Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Feb 12 2018 20:32:30

%S 1,65,57,230,1094,4315,18032,75491,325547,1416774,6187701,27013886,

%T 117918230,514866750,2248861295,9826797188,42947569488,187715747196,

%U 820514753565,3586597539334,15677880073962,68532680245349

%N Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A299561.

%H R. H. Hardin, <a href="/A299559/b299559.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299561.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 12 2018