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A276294 Number of n X 3 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2. 1

%I #8 Feb 05 2019 18:42:28

%S 2,12,45,189,805,3437,14693,62829,268677,1148973,4913509,21012333,

%T 89858053,384272941,1643321829,7027574381,30053031045,128520116269,

%U 549609131621,2350372894061,10051239005445,42983564779053

%N Number of n X 3 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.

%H R. H. Hardin, <a href="/A276294/b276294.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) - 8*a(n-2) + 4*a(n-3) - 7*a(n-4) + 6*a(n-5) for n>7.

%F Empirical g.f.: x*(2 - 11*x^2 + 7*x^3 - 3*x^4 + 11*x^5 - 2*x^6) / ((1 - x)*(1 - 5*x + 3*x^2 - x^3 + 6*x^4)). - _Colin Barker_, Feb 05 2019

%e Some solutions for n=4:

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

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

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

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

%Y Column 3 of A276299.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 28 2016

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Last modified July 17 10:44 EDT 2024. Contains 374377 sequences. (Running on oeis4.)