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Search: id:A036581
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| A036581 |
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Ternary Thue-Morse sequence: closed under a->abc, b->ac, c->b. |
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+0
5
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| 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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This sequence and A108694 are squarefree (they do not contain any substring XX). - R. William Gosper (rwg(AT)osots.com), Jul 22 2005
Trajectory of 1 under the morphism 0 -> 021, 1 -> 2 & 2 -> 01. - Robert G. Wilson v, (rgwv(AT)rgwv.com), Apr 06 2008
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REFERENCES
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M. Lothaire, Combinatorics on Words. Addison-Wesley, Reading, MA, 1983, p. 26.
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FORMULA
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a(n) = A010060(n+1) - A010060(n) - 1 mod 3. - R. William Gosper (rwg(AT)osots.com), Jul 22 2005
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MATHEMATICA
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Nest[ # /. {0 -> {0, 2, 1}, 1 -> {2}, 2 -> {0, 1}} &, {0}, 7] // Flatten (* Robert G. Wilson v *) - Robert G. Wilson v, (rgwv(AT)rgwv.com), Apr 06 2008
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CROSSREFS
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Cf. A036583, A108694.
Sequence in context: A061896 A069850 A108964 this_sequence A135055 A035148 A114114
Adjacent sequences: A036578 A036579 A036580 this_sequence A036582 A036583 A036584
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KEYWORD
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nonn
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AUTHOR
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njas
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