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Search: id:A156595
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| A156595 |
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Fixed point of the morphism 0->011, 1->010. |
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+0
1
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| 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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This sequence draws the Sierpinski gaskett, when iterating he following odd-even drawing rule : If "1" then draw a segment forward, if "0" then draw a segment forward and turn 120A degs right if in odd position or left if in even position.
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REFERENCES
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Combinatoris on words, M Lothaire.
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FORMULA
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apply morphism iteratively to infinity : 0->011 and 1->010
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EXAMPLE
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0 -> 0,1,1 -> 0,1,1,0,1,0,0,1,0 -> ...
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MATHEMATICA
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Nest[ Flatten[ # /. {0 -> {0, 1, 1}, 1 -> {0, 1, 0}}] &, {0}, 10]
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CROSSREFS
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Adjacent sequences: A156592 A156593 A156594 this_sequence A156596 A156597 A156598
Sequence in context: A057215 A029691 A053866 this_sequence A143222 A010060 A118247
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KEYWORD
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easy,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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