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

%I #4 May 16 2018 14:46:13

%S 1,49,131,598,3525,20932,122388,711362,4369285,26155072,156304793,

%T 943548083,5679024203,34141672780,205491382920,1237167747821,

%U 7444659026254,44802139128177,269672072450366,1623026776303690

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

%C Column 6 of A304676.

%H R. H. Hardin, <a href="/A304674/b304674.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304676.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 16 2018