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A275230 Number of 5 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2. 1

%I #7 Feb 02 2019 10:51:45

%S 8,66,648,6448,64248,640250,6380362,63583084,633633188,6314431394,

%T 62926066122,627085726484,6249183090572,62275838294858,

%U 620605922265106,6184609012036812,61632329405048644,614193075180580914

%N Number of 5 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2.

%H R. H. Hardin, <a href="/A275230/b275230.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) - 9*a(n-2) - 15*a(n-3) + 20*a(n-4) - 6*a(n-5) for n>6.

%F Empirical g.f.: 2*x*(4 - 11*x - 3*x^2 + 17*x^3 - 9*x^4 + x^5) / ((1 - x)*(1 - 10*x - x^2 + 14*x^3 - 6*x^4)). - _Colin Barker_, Feb 02 2019

%e Some solutions for n=4:

%e ..0..1..2..0. .0..0..1..2. .0..1..0..1. .0..1..0..2. .0..1..2..1

%e ..1..2..1..2. .2..1..0..1. .1..0..1..0. .1..0..1..0. .1..2..1..2

%e ..0..1..2..0. .1..2..1..2. .0..2..0..1. .0..1..0..2. .2..1..0..1

%e ..1..2..0..2. .2..1..2..1. .2..0..1..2. .1..0..1..0. .1..2..1..2

%e ..0..1..2..0. .1..0..1..2. .1..2..0..1. .0..2..0..2. .2..1..2..1

%Y Row 5 of A275228.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 20 2016

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Last modified April 24 07:50 EDT 2024. Contains 371922 sequences. (Running on oeis4.)