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A156596 Infinite Fibonacci word fractal sequence 0
1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Apply to A143667 the map : 0 -> 12, 1 -> 10, 2 -> 02. or apply to A003849 (the Fibonacci word), after grouping the terms 2 by 2, the map : "00" -> "12", "01"->"10, "10"->"02". Draws the Fibonacci word fractal curve when applying the following drawing rule: if "0" then draw a segment forward, if "1" then draw a segment forward and turn 90A degs right, if "2" the draw segment and turn 90A degs left.

REFERENCES

M. Lothaire, Combinatorics on words, Cambridge University Press.

LINKS

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

A. Monnerot-Dumaine, Fibonacci word fractal

CROSSREFS

A003849, A143667

Sequence in context: A200213 A137899 A243822 * A026613 A117199 A230632

Adjacent sequences:  A156593 A156594 A156595 * A156597 A156598 A156599

KEYWORD

nice,nonn

AUTHOR

Alexis Monnerot-Dumaine (alexis.monnerotdumaine(AT)gmail.com), Feb 10 2009

STATUS

approved

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Last modified July 29 06:36 EDT 2014. Contains 245019 sequences.