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Number of nX6 0..1 arrays with every element equal to 0, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
1

%I #4 Jan 22 2018 06:15:54

%S 1,52,10,38,374,174,604,5381,5527,16221,110018,190453,515578,2755459,

%T 6512034,17700626,78992173,222967860,630465088,2486556212,7716784379,

%U 22821362858,83290038282,270699953586,831534123225,2899944229842

%N Number of nX6 0..1 arrays with every element equal to 0, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A298575.

%H R. H. Hardin, <a href="/A298573/b298573.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298575.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 22 2018