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Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero.
1

%I #4 Feb 04 2018 13:15:12

%S 32,137,83,401,1442,3773,12847,48408,157805,562522,2057541,7039840,

%T 25174801,91158763,318102256,1134299958,4083010670,14386161345,

%U 51212037306,183601965542,650165124338,2313003043768,8270512715806

%N Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A299187.

%H R. H. Hardin, <a href="/A299185/b299185.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299187.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 04 2018