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Number of nX6 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
1

%I #4 Jul 17 2018 12:23:43

%S 5,1493,71505,4335826,259163370,15440641209,920789559090,

%T 54906173292280,3273992108473660,195225156534000032,

%U 11641092125426590175,694147342926715857535,41391351968297005683248,2468127308681014210659067

%N Number of nX6 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A316953.

%H R. H. Hardin, <a href="/A316951/b316951.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A316951/a316951.txt">Empirical recurrence of order 76</a>

%F Empirical recurrence of order 76 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316953.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2018