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Number of n X 6 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
1

%I #6 Jun 17 2021 14:24:12

%S 5,5,29,47,137,473,836,2109,6105,13157,29710,79848,188417,434271,

%T 1083668,2642078,6258979,15110414,36879475,88992860,213051063,

%U 516545526,1254485401,3011010117,7264255595,17633081795,42495939909,102388465505

%N Number of n X 6 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A305182.

%H R. H. Hardin, <a href="/A305180/b305180.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305182.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 26 2018