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

%I #4 Jan 15 2018 08:31:16

%S 13,112,100,2606,7038,110320,1166270,10448313,136604409,1503351175,

%T 16286627637,194230966568,2198476953879,24700789917927,

%U 286624459000212,3264613409193272,37095755700798148,426284736792747449

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

%C Column 6 of A298230.

%H R. H. Hardin, <a href="/A298228/b298228.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A298230.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 15 2018