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Number of nX6 0..1 arrays with every element unequal to 0, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Aug 26 2018 11:14:50

%S 1,10,8,126,280,783,2489,9381,35283,124358,433497,1542555,5562368,

%T 20097597,72352461,259359679,929755795,3339985609,12012273545,

%U 43189126852,155189811798,557528400977,2003243107506,7199140751592

%N Number of nX6 0..1 arrays with every element unequal to 0, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A318423.

%H R. H. Hardin, <a href="/A318421/b318421.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A318423.

%K nonn

%O 1,2

%A _R. H. Hardin_, Aug 26 2018