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A317953 Apply the morphism 1 -> {1, 2}, 2 -> {3,1}, 3 -> {1} n times to 1, and concatenate the resulting string. 2
1, 12, 1231, 1231112, 1231112121231, 123111212123112311231112, 12311121212311231123111212311121231112121231, 123111212123112311231112123111212311121212311231112121231123111212123112311231112 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For the tribonacci word A092782, each block b(n) (see A103269) is the concatenation of the three previous blocks: b(n) = b(n-1).b(n-2).b(n-3). Instead, here we have a(n) = a(n-1).a(n-3).a(n-2), as can be seen in the examples section below.

REFERENCES

V. F. Sirvent, Semigroups and the self-similar structure of the flipped tribonacci substitution, Applied Math. Letters, 12 (1999), 25-29.

LINKS

Table of n, a(n) for n=1..8.

EXAMPLE

a(1): 1,

a(2): 12,

a(3): 1231,

a(4): 1231112,

a(5): 1231112121231,

a(6): 123111212123112311231112,

a(7): 12311121212311231123111212311121231112121231,

equals a(6).a(4).a(5), look:

a(6):123111212123112311231112,

a(4):                        1231112,

a(5):                               1231112121231,

a(8): 123111212123112311231112123111212311121212311231112121231123111212123112311231112

equals a(7).a(5).a(6), look:

a(7): 12311121212311231123111212311121231112121231,

a(5):                                             1231112121231,

a(6):                                                          123111212123112311231112,

CROSSREFS

Cf. A100619 (the limiting string), A277735, A317953.

A103269 is the analog for the word A092782.

Sequence in context: A054351 A080814 A078294 * A009155 A078296 A239164

Adjacent sequences:  A317950 A317951 A317952 * A317954 A317955 A317956

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Aug 21 2018

STATUS

approved

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Last modified July 12 05:35 EDT 2020. Contains 335658 sequences. (Running on oeis4.)