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Number of nX6 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 07 2018 07:32:54

%S 13,6,17,68,208,1162,4067,20265,88836,420674,1978897,9427072,44593246,

%T 212266634,1007469588,4787708514,22741208745,108037995177,

%U 513201504833,2438021530346,11581528859315,55017874016905,261360114793701

%N Number of nX6 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A300506.

%H R. H. Hardin, <a href="/A300504/b300504.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300506.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 07 2018