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The ring of k-regular sequences
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“The integer 6 features prominently in the structural description of w 3 / 2 , and the sequence of letters of w 3 / 2 is a 6-regular sequence in the sense of Allouche and Shallit [2].”
From Avoiding Fractional Powers over the Natural Numbers (2018) · cites this paper as [2]
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“The value of k for which a given sequence is k -regular is not unique; for each α ≥ 1, a sequence is k -regular if and only if it is k α -regular [2, Theorem 2.9].”
From Avoiding Fractional Powers over the Natural Numbers (2018) · cites this paper as [2]
In the citing paper
“This description yields a recurrence for the i th letter, which we use to prove that the sequence of letters is 6-regular with rank 188.”
From Avoiding 5/4-Powers on the Alphabet of Nonnegative Integers (2020) · cites this paper as [2]
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Cited by
Avoiding squares and overlaps over the natural numbers
Guay-Paquet, M., & Shallit, J. (2009) · Discrete Mathematics · doi:10.1016/j.disc.2009.06.004 · Cited by 13
Self-citationAvoiding 3/2-powers over the natural numbers
Rowland, E., & Shallit, J. (2012) · Discrete Mathematics · doi:10.1016/j.disc.2011.12.019 · Cited by 7
Self-citationAvoiding Fractional Powers over the Natural Numbers
Pudwell, L., & Rowland, E. (2018) · The Electronic Journal of Combinatorics · doi:10.37236/6678 · Cited by 4
Avoiding 5/4-Powers on the Alphabet of Nonnegative Integers
Rowland, E., & Stipulanti, M. (2020) · The Electronic Journal of Combinatorics · doi:10.37236/9581 · Cited by 3
Metadata
- Authors
- Allouche, J.-P., & Shallit, J.
- Venue
- Theoretical Computer Science
- Publisher
- Elsevier BV
- Published
- 1992-05
- Volume
- 98
- Issue
- 2
- Pages
- 163-197
- ISSN
- 0304-3975
- Cited by
- 163
- References
- 0
- Language
- en
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
- www.elsevier.com/open-access/userlicense/1.0/ (vor, 7747 d)
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