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Number of nX6 0..1 arrays with every element unequal to 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
1

%I #4 May 18 2018 08:06:07

%S 0,209,3680,172574,6978743,292676592,12219307955,510976436144,

%T 21366609684109,893510784279365,37365335846465488,1562572262518146095,

%U 65344912903528854346,2732647907508684527299,114276155295332420501253

%N Number of nX6 0..1 arrays with every element unequal to 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 6 of A304767.

%H R. H. Hardin, <a href="/A304765/b304765.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304767.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 18 2018