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Number of nX6 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1

%I #4 Jan 16 2017 09:00:01

%S 0,346,17806,136138,865821,4716420,22796763,102696802,438513869,

%T 1799338352,7158291149,27787053444,105726471706,395690330122,

%U 1460576127556,5328417840400,19243721441580,68891667482710

%N Number of nX6 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 6 of A281165.

%H R. H. Hardin, <a href="/A281163/b281163.txt">Table of n, a(n) for n = 1..184</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281165.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 16 2017