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Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jul 09 2018 11:17:18

%S 2,45,122,524,2342,9773,44095,195387,864584,3862519,17173279,76452466,

%T 340685629,1516751816,6755834593,30091122083,134013352168,

%U 596898766434,2658516219943,11840669606842,52737482373121,234886906246219

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A316641.

%H R. H. Hardin, <a href="/A316637/b316637.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A316637/a316637.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..0..0..0. .0..1..0..0. .0..1..0..1. .0..1..1..0

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

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

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

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

%Y Cf. A316641.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 09 2018