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A317460 Number of nX3 0..1 arrays with every element unequal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 28 2018 20:58:36

%S 0,5,16,107,636,3893,23769,145280,887980,5428139,33181694,202838254,

%T 1239944574,7579749355,46334824959,283243696481,1731462085879,

%U 10584387302544,64702112676461,395522505704920,2417819853246711

%N Number of nX3 0..1 arrays with every element unequal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317465.

%H R. H. Hardin, <a href="/A317460/b317460.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +8*a(n-2) +2*a(n-3) -48*a(n-4) -62*a(n-5) +35*a(n-6) +62*a(n-7) +5*a(n-8) -25*a(n-9) +2*a(n-10) +14*a(n-11) +4*a(n-12) for n>14

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317465.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 28 2018

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Last modified April 24 15:36 EDT 2024. Contains 371960 sequences. (Running on oeis4.)