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Number of n X 6 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 Jan 01 2024 23:44:07

%S 32,284,1251,10682,120427,960577,8398085,79355311,704559110,

%T 6285452489,57237767863,515582176553,4639154328124,41932155483798,

%U 378374698881107,3412436371702947,30803844913611767,278001591740834963

%N Number of n X 6 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A317153.

%H R. H. Hardin, <a href="/A317151/b317151.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317153.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 22 2018