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Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jul 03 2018 09:10:20

%S 2,45,182,946,5256,26592,139705,743357,3895564,20551990,108462086,

%T 571420486,3013738375,15893704443,83803905400,441952817246,

%U 2330642013397,12290475240990,64814511670451,341801050087962,1802496248933719

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A316448.

%H R. H. Hardin, <a href="/A316444/b316444.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A316444/a316444.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..0..0. .0..0..0..1. .0..1..0..0. .0..1..1..0. .0..1..0..0

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

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

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

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

%Y Cf. A316448.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 03 2018