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Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
1

%I #4 Feb 05 2018 13:53:54

%S 1,65,87,652,5042,35320,223750,1634125,12440063,85743693,626402775,

%T 4593707989,33301518925,242065110566,1767254828555,12896269372285,

%U 93959680164405,685715068810035,5004838983561794,36516480551676091

%N Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A299249.

%H R. H. Hardin, <a href="/A299247/b299247.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299249.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 05 2018