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Number of nX6 0..1 arrays with every element equal to 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Feb 14 2018 07:13:44

%S 5,49,34,173,453,1223,3286,9873,28227,86428,253623,766882,2299579,

%T 6887900,20699158,62239664,186995764,562324870,1690827365,5083949541,

%U 15289512249,45981730995,138278962826,415872244403,1250740118045

%N Number of nX6 0..1 arrays with every element equal to 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A299612.

%H R. H. Hardin, <a href="/A299610/b299610.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..0..0..1..1..0. .0..0..0..1..1..0. .0..1..1..0..1..0

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

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

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

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

%Y Cf. A299612.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2018