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A316810 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 14 2018 15:05:46

%S 4,32,227,1603,11339,80196,567185,4011528,28372197,200667334,

%T 1419255442,10037936386,70995092862,502125441515,3551371640686,

%U 25117708652986,177649469535317,1256457524264038,8886519697845327,62851493835499033

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316815.

%H R. H. Hardin, <a href="/A316810/b316810.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +10*a(n-2) -7*a(n-3) -64*a(n-4) -51*a(n-5) for n>6

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316815.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 14 2018

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Last modified April 19 08:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)