Cover Image

Brik's sequence: a strange recursion

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Shallit, Jeffrey
Format:	Preprint
Published:	2026
Subjects:	Combinatorics Discrete Mathematics Formal Languages and Automata Theory Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Strongly k-recursive sequences
by: Krenn, Daniel, et al.
Published: (2024)

The Hurt-Sada Array and Zeckendorf Representations
by: Shallit, Jeffrey
Published: (2025)

Cloitre's Self-Generating Sequence
by: Shallit, Jeffrey
Published: (2025)

The Narayana Morphism and Related Words
by: Shallit, Jeffrey
Published: (2025)

Balanced Fibonacci word rectangles, and beyond
by: Shallit, Jeffrey, et al.
Published: (2025)

Consecutive Power Occurrences in Sturmian Words
by: Bell, Jason, et al.
Published: (2024)

Complexity of Linear Subsequences of $k$-Automatic Sequences
by: Moradi, Delaram, et al.
Published: (2025)

Ten Squares Force an Overlap
by: Shallit, Jeffrey
Published: (2026)

Runs in Paperfolding Sequences
by: Shallit, Jeffrey
Published: (2024)

Beatty Sequences for a Quadratic Irrational: Decidability and Applications
by: Schaeffer, Luke, et al.
Published: (2024)

Proving Properties of $φ$-Representations with the Walnut Theorem-Prover
by: Shallit, Jeffrey
Published: (2023)

An 'Experimental Mathematics' Approach to Stolarsky Interspersions via Automata Theory
by: Shallit, Jeffrey
Published: (2025)

The Tribonacci constant and finite automata
by: Shallit, Jeffrey
Published: (2025)

The Repetition Threshold for Rote Sequences
by: Ollinger, Nicolas, et al.
Published: (2024)

String Attractors for Automatic Sequences
by: Schaeffer, Luke, et al.
Published: (2020)

Some Fibonacci-Related Sequences
by: Cloitre, Benoit, et al.
Published: (2023)

Complexity of Linear Subsequences of Fibonacci-Automatic Sequences
by: Moradi, Delaram, et al.
Published: (2026)

Self-Verifying Predicates in Büchi Arithmetic
by: Khodier, Mazen, et al.
Published: (2025)

Dyck Words, Pattern Avoidance, and Automatic Sequences
by: Mol, Lucas, et al.
Published: (2023)

Some Remarks on Palindromic Periodicities
by: Fici, Gabriele, et al.
Published: (2024)

Using finite automata to compute the base-$b$ representation of the golden ratio and other quadratic irrationals
by: Barnoff, Aaron, et al.
Published: (2024)

Pseudoperiodic Words and a Question of Shevelev
by: Meleshko, Joseph, et al.
Published: (2022)

State Complexity of Shifts of the Fibonacci Word
by: Moradi, Delaram, et al.
Published: (2026)

Antisquares and Critical Exponents
by: Baranwal, Aseem, et al.
Published: (2022)

Repetition Threshold for Binary Automatic Sequences
by: Allouche, J. -P., et al.
Published: (2024)

The Smallest String Attractors of Fibonacci and Period-Doubling Words
by: Banbara, Mutsunori, et al.
Published: (2026)

Banach density of generated languages: Dichotomies in topology and dimension
by: Kleinberg, Jon, et al.
Published: (2026)

Careful synchronisation and the diameter of transformation semigroups with few generators
by: Ryzhikov, Andrew
Published: (2025)

Asymptotic bounds for the number of closed and privileged words
by: Gabric, Daniel
Published: (2022)

Linear Recurrence Sequence Automata and the Addition of Abstract Numeration Systems
by: Carton, Olivier, et al.
Published: (2024)

On shortest products for nonnegative matrix mortality
by: Ryzhikov, Andrew
Published: (2024)

Automatic Abelian Complexities of Parikh-Collinear Fixed Points
by: Rigo, Michel, et al.
Published: (2024)

A Language-Theoretic Approach to the Heapability of Signed Permutations
by: Istrate, Gabriel
Published: (2024)

Generalized Hofstadter functions $G, H$ and beyond: numeration systems and discrepancy
by: Letouzey, Pierre
Published: (2025)

On a sequence of Kimberling and its relationship to the Tribonacci word
by: Dvořáková, Lubomíra, et al.
Published: (2025)

From geometry to generating functions: rectangulations and permutations
by: Asinowski, Andrei, et al.
Published: (2024)

The reflection complexity of sequences over finite alphabets
by: Allouche, Jean-Paul, et al.
Published: (2024)

New properties of the $φ$-representation of integers
by: Shallit, Jeffrey, et al.
Published: (2025)

Counting Polyominoes in a Rectangle b x h
by: Marin, Louis
Published: (2024)

Algebraic Characterization of Reversible First Degree Cellular Automata over $\mathbb{Z}_d$
by: J., Baby C., et al.
Published: (2026)