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Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.
1

%I #4 May 17 2018 09:52:43

%S 2,45,178,918,4910,24408,124399,641663,3271834,16747810,85795064,

%T 438971334,2247194765,11504929439,58893248470,301494626010,

%U 1543466274885,7901476939284,40450502258451,207080879283742,1060121076327341

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 4 of A304697.

%H R. H. Hardin, <a href="/A304693/b304693.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A304693/a304693.txt">Empirical recurrence of order 69</a>

%F Empirical recurrence of order 69 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304697.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 17 2018