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Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jul 22 2018 15:53:43

%S 5,21,29,105,379,1245,5458,25315,111407,527886,2563160,12170793,

%T 58396626,282895106,1362930990,6568303800,31746692725,153297619453,

%U 739913361896,3573891092629,17261311752935,83352383451568,402555795489298

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A317160.

%H R. H. Hardin, <a href="/A317156/b317156.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A317156/a317156.txt">Empirical recurrence of order 66</a>

%F Empirical recurrence of order 66 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317160.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 22 2018