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Search: id:A143667
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| A143667 |
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Digits of the infinite Fibonacci word A003849 grouped 2 by 2 and interpreted as a binary value. |
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+0
2
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| 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Group 2 by 2 the successive letters of the infinite Fibonacci word A003849 then apply : 00->0, 01->1 and 10->2.
Also result of the following iterated morphing: 1->1022, 0->10221, 2->1021, iterated from letter 1. (Monnerot 2008)
Fractal properties studied (proposed for publication)
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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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A. Monnerot-Dumaine, Fibonacci Fractal
A. Monnerot-Dumaine, The Fibonacci Word Fractal [From Alexis Monnerot-Dumaine (alexis.monnerotdumaine(AT)gmail.com), Aug 31 2009]
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FORMULA
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a(n) = decimal value of b(2n-1)b(2n), b(n) taken from A003849 (infinite Fibonacci word)
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EXAMPLE
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a(1)= 1 because the infinite fibonacci word starts with "01", a(2)= 0 because it continues with "00" and so on...
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CROSSREFS
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Cf A003849
Sequence in context: A096830 A141647 A001617 this_sequence A084934 A125927 A092869
Adjacent sequences: A143664 A143665 A143666 this_sequence A143668 A143669 A143670
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KEYWORD
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easy,nonn,word
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AUTHOR
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Alexis Monnerot-Dumaine (alexis.monnerotdumaine(AT)gmail.com), Aug 28 2008
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