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Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
1

%I #4 Jun 14 2018 07:07:07

%S 13,125,135,1129,8135,61467,811996,9980597,112886453,1460881086,

%T 18752755601,231554846353,2940627858430,37506163354915,

%U 472902430224115,5989532918267295,76065097315726443,963285418655935224

%N Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A305918.

%H R. H. Hardin, <a href="/A305916/b305916.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305918.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 14 2018