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A078711 Sequence is S(infinity), where S(1)={1,2,3}, S(n+1)=S(n)S'(n) and S'(n) is obtained from S(n) by changing last term using the cyclic permutation 1->2->3->1. 2
1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Lim_{n->infinity} Sum_{i=1..n} a(i)/n = 37/21; density of 1's is 3/7; density of 2's is 8/21; density of 3's is 4/21.

EXAMPLE

Concatenating 1,2,3 gives 1,2,3,1,2,3; changing the last term 3 to 1 gives the first 6 terms: 1,2,3,1,2,1. Concatenating those 6 terms: 1,2,3,1,2,1,1,2,3,1,2,1; replacing the last term 1 with 3 gives the first 12 terms: 1,2,3,1,2,1,1,2,3,1,2,2.

CROSSREFS

Cf. A010060, A078978, A078979.

Sequence in context: A091654 A127246 A106038 * A322423 A325494 A295561

Adjacent sequences:  A078708 A078709 A078710 * A078712 A078713 A078714

KEYWORD

nonn,changed

AUTHOR

Benoit Cloitre, Dec 19 2002

STATUS

approved

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Last modified October 15 15:14 EDT 2019. Contains 328030 sequences. (Running on oeis4.)