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A305687 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 1

%I #4 Jun 08 2018 08:15:34

%S 1,25,152,1151,8415,61796,453553,3329201,24436772,179369495,

%T 1316598259,9664023496,70935343213,520675774985,3821836201340,

%U 28052835663739,205911909175803,1511423474214692,11094068951867649,81432085718227557

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 3 of A305692.

%H R. H. Hardin, <a href="/A305687/b305687.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +8*a(n-2) +12*a(n-3) +11*a(n-4) -a(n-5) +a(n-6) +a(n-7) -a(n-8)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305692.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jun 08 2018

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Last modified August 2 22:39 EDT 2024. Contains 374875 sequences. (Running on oeis4.)