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Number of nX6 0..1 arrays with every element unequal to 0, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jul 07 2018 08:26:33

%S 1,272,291,4262,17695,129257,873130,5763068,41285414,277573259,

%T 1965195879,13496039053,94385750617,654682766646,4558519253070,

%U 31702264810424,220557985474475,1534603577594039,10676080941052407

%N Number of nX6 0..1 arrays with every element unequal to 0, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A316576.

%H R. H. Hardin, <a href="/A316574/b316574.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316576.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 07 2018