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Search: id:A106824
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| A106824 |
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Trajectory of 1 under the morphism 1->13, 2->13223, 3->1323. |
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+0
1
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| 1, 3, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 1, 3, 2, 2, 3, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 1, 3, 2, 2, 3, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 1, 3, 2, 2, 3, 1, 3, 2, 2, 3, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 1, 3, 2, 2, 3, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 1, 3, 2, 2, 3, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 1
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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J. M. Dumont and A. Thomas, Digital sum problems and substitutions on a finite alphabet, J. Number Theory, 39 (1991), 351-366.
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MAPLE
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subs({1=[1, 3], 2=[1, 3, 2, 2, 3], 3=[1, 3, 2, 3]}, 1): subs({1=[1, 3], 2=[1, 3, 2, 2, 3], 3=[1, 3, 2, 3]}, %):subs({1=[1, 3], 2=[1, 3, 2, 2, 3], 3=[1, 3, 2, 3]}, %):subs({1=[1, 3], 2=[1, 3, 2, 2, 3], 3=[1, 3, 2, 3]}, %):subs({1=[1, 3], 2=[1, 3, 2, 2, 3], 3=[1, 3, 2, 3]}, %); # all brackets have to be removed (Deutsch)
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MATHEMATICA
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Nest[ Flatten[ # /. {1 -> {1, 3}, 2 -> {1, 3, 2, 2, 3}, 3 -> {1, 3, 2, 3}}] &, {1}, 5] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 20 2005)
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CROSSREFS
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Sequence in context: A126682 A016571 A055189 this_sequence A123508 A117621 A059660
Adjacent sequences: A106821 A106822 A106823 this_sequence A106825 A106826 A106827
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 20 2005
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2005
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