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A100260 Fixed point of morphism 0 -> 01, 1 -> 02, 2 -> 31, 3 -> 32. 4
0, 1, 0, 2, 0, 1, 3, 1, 0, 1, 0, 2, 3, 2, 0, 2, 0, 1, 0, 2, 0, 1, 3, 1, 3, 2, 3, 1, 0, 1, 3, 1, 0, 1, 0, 2, 0, 1, 3, 1, 0, 1, 0, 2, 3, 2, 0, 2, 3, 2, 3, 1, 3, 2, 0, 2, 0, 1, 0, 2, 3, 2, 0, 2, 0, 1, 0, 2, 0, 1, 3, 1, 0, 1, 0, 2, 3, 2, 0, 2, 0, 1, 0, 2, 0, 1, 3, 1, 3, 2, 3, 1, 0, 1, 3, 1, 3, 2, 3, 1, 3, 2, 0, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
This is a version of the Rudin-Shapiro sequence A020987. - N. J. A. Sloane, Jan 17 2021
REFERENCES
Dekking, Michel, Michel Mendes France, and Alf van der Poorten. "Folds." The Mathematical Intelligencer, 4.3 (1982): 130-138 & front cover, and 4:4 (1982): 173-181 (printed in two parts).
Lipshitz, Leonard, and A. van der Poorten. "Rational functions, diagonals, automata and arithmetic." In Number Theory, Richard A. Mollin, ed., Walter de Gruyter, Berlin (1990): 339-358.
LINKS
Scott Balchin and Dan Rust, Computations for Symbolic Substitutions, Journal of Integer Sequences, Vol. 20 (2017), Article 17.4.1.
James D. Currie, Narad Rampersad, Kalle Saari, Luca Q. Zamboni, Extremal words in morphic subshifts, Discrete Math. 322 (2014), 53--60. MR3164037. See Sect. 8.
L. Lipshitz and A. J. van der Poorten, Rational functions, diagonals, automata and arithmetic
Rémy Sigrist, Colored scatterplot of (n, 4*b(n) - n) for n = 1..2^20 (where b is the ordinal transform of the sequence)
MATHEMATICA
Nest[ Function[ l, {Flatten[(l /. {0 -> {0, 1}, 1 -> {0, 2}, 2 -> {3, 1}, 3 -> {3, 2}})]}], {0}, 7] (* Robert G. Wilson v, Feb 28 2005 *)
CROSSREFS
Sequence in context: A178107 A272472 A355536 * A165317 A174067 A124943
KEYWORD
nonn
AUTHOR
Ralf Stephan, Nov 18 2004
EXTENSIONS
More terms from Robert G. Wilson v, Nov 20 2004
STATUS
approved

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Last modified July 23 23:47 EDT 2024. Contains 374575 sequences. (Running on oeis4.)