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Number of nX6 0..1 arrays with every element unequal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 May 31 2018 09:05:52

%S 1,49,53,115,271,538,1476,3001,8018,19631,49142,121150,301994,755291,

%T 1883016,4721904,11811102,29624570,74283952,186275585,467396085,

%U 1172634363,2942953196,7385641030,18537581048,46532964358,116809764471

%N Number of nX6 0..1 arrays with every element unequal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A305360.

%H R. H. Hardin, <a href="/A305358/b305358.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305360.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 31 2018