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A275222 Number of n X 2 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 #8 Feb 01 2019 11:58:16

%S 2,6,11,27,66,162,404,1007,2512,6271,15655,39084,97580,243626,608259,

%T 1518638,3791579,9466427,23634810,59008986,147327628,367832623,

%U 918367048,2292885359,5724642759,14292705300,35684571668,89093606034,222439846275

%N Number of n X 2 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="/A275222/b275222.txt">Table of n, a(n) for n = 1..210</a>

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

%F Empirical g.f.: x*(1 + x - x^2)*(2 - 2*x - x^2 - x^3) / ((1 - x)*(1 - 2*x - x^2 - x^3 + x^4)). - _Colin Barker_, Feb 01 2019

%e Some solutions for n=4:

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

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

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

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

%Y Column 2 of A275228.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 20 2016

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Last modified April 19 17:39 EDT 2024. Contains 371797 sequences. (Running on oeis4.)