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A156596
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Infinite Fibonacci word fractal sequence
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0
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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;
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refs;
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history;
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internal format)
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OFFSET
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1,4
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COMMENTS
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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.
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REFERENCES
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M. Lothaire, Combinatorics on words, Cambridge University Press.
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LINKS
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Table of n, a(n) for n=1..105.
A. Monnerot-Dumaine, Fibonacci word fractal
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CROSSREFS
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A003849, A143667
Sequence in context: A096577 A200213 A137899 * A026613 A117199 A052511
Adjacent sequences: A156593 A156594 A156595 * A156597 A156598 A156599
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KEYWORD
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nice,nonn
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AUTHOR
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Alexis Monnerot-Dumaine (alexis.monnerotdumaine(AT)gmail.com), Feb 10 2009
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STATUS
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approved
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