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Strongly k-recursive sequences
- Publication Year :
- 2024
-
Abstract
- Drawing inspiration from a recent paper of Heuberger, Krenn, and Lipnik, we define the class of strongly k-recursive sequences. We show that every k-automatic sequence is strongly $k$-recursive, therefore k-recursive, and discuss that the converse is not true. We also show that the class of strongly k-recursive sequences is a proper subclass of the class of k-regular sequences, and we present some explicit examples. We then extend the proof techniques to answer the same question for the class of k-recursive sequences.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2401.14231
- Document Type :
- Working Paper