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A316999 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 18 2018 19:23:31

%S 4,30,162,894,4905,26952,148138,814090,4474116,24589282,135138808,

%T 742704801,4081805962,22433046900,123288989733,677579579346,

%U 3723885463368,20465969746469,112478195239041,618164912416022

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317004.

%H R. H. Hardin, <a href="/A316999/b316999.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +3*a(n-2) +7*a(n-3) -48*a(n-4) +5*a(n-5) +10*a(n-6) +2*a(n-7) -19*a(n-8) -15*a(n-9) -6*a(n-10) -a(n-11) for n>12

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317004.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 18 2018

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)