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A156596 Infinite Fibonacci word fractal sequence +0
1
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; listen)
OFFSET

1,4

COMMENT

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

A. Monnerot-Dumaine, Fibonacci word fractal

CROSSREFS

A003849, A143667

Sequence in context: A036663 A096577 A137899 this_sequence A026613 A117199 A052511

Adjacent sequences: A156593 A156594 A156595 this_sequence A156597 A156598 A156599

KEYWORD

nice,nonn

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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