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Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
1

%I #4 Jan 17 2018 08:22:39

%S 5,793,21375,479767,11244900,268494008,6373591375,151336485128,

%T 3595159432175,85399583907027,2028551956848840,48186769108453138,

%U 1144641783892128138,27190092081327539569,645880571006137229012

%N Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.

%C Column 6 of A298337.

%H R. H. Hardin, <a href="/A298335/b298335.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A298337.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2018