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

%I #4 Jun 23 2018 12:51:57

%S 13,105,123,544,1956,5277,16195,52752,158458,503426,1626380,5018948,

%T 15811628,50435662,157657009,496317068,1574666421,4950381192,

%U 15591794060,49320992460,155399103321,489755624503,1547029672517,4878616148585

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

%C Column 6 of A306172.

%H R. H. Hardin, <a href="/A306170/b306170.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A306172.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 23 2018