Cover Image

A study of a family of self-referential sequences

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Cloitre, Benoit
Format:	Preprint
Published:	2025
Subjects:	General Mathematics 11B37 (Primary), 11B83, 11B75 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On a Family of Nested Recurrences and Their Arithmetical Solutions
by: Cloitre, Benoit
Published: (2025)

Deterministic Structures in the Stopping Time Dynamics of the 3x+1 Problem
by: Winkler, Mike
Published: (2017)

Primes in LCM recurrences
by: Cloitre, Benoit
Published: (2025)

The Thue-Morse Transform
by: Cloitre, Benoit
Published: (2026)

Theory of Normalized Remainders in Taylor Series Expansions
by: Qi, Feng
Published: (2025)

On the Sum of the Sixth Powers of Fibonacci Numbers
by: Adegoke, Kunle, et al.
Published: (2024)

Generalization of Gaussian third-order Jacobsthal numbers and their new families
by: Morales, Gamaliel
Published: (2025)

On $q$-Analogs of the $3x+1$ Dynamical System
by: Monks, Kenneth G.
Published: (2025)

Paradoxical behavior in Collatz sequences
by: Rozier, Olivier, et al.
Published: (2025)

Polynomials and algebraic curves related to certain binary and $b$-ary overpartitions
by: Dilcher, Karl, et al.
Published: (2024)

Gaps of Binary Numerical Semigroups and of Binary Inclusion-Exclusion Polynomials
by: Bachman, Gennady
Published: (2026)

Beatty solutions of almost Golomb equations
by: Cloitre, Benoit
Published: (2026)

A Tauberian characterization of the Riemann hypothesis through the floor function
by: Cloitre, Benoit
Published: (2024)

Connections between certain numbers related to derangements and $r$-permutations
by: Miska, Piotr, et al.
Published: (2024)

On a BBP-type formula for $π^2$ in the golden ratio base
by: Cloitre, Benoit
Published: (2025)

Iteration Sums of The Euler Totient Function Regarding Powers of Fermat Primes
by: Li, Xiang, et al.
Published: (2025)

Notes on Riordan arrays and lattice paths
by: Barry, Paul
Published: (2025)

The congruence properties of Romik's sequence of Taylor coefficients of Jacobi's theta function $θ_3$
by: Krattenthaler, Christian, et al.
Published: (2023)

Dyadic Frequency Laws, Clock Dynamics, and Defect Scaling in a Perturbed Hofstadter $Q$-Recursion
by: Mantovanelli, Marco
Published: (2026)

Binary sequences meet the Fibonacci sequence
by: Miska, Piotr, et al.
Published: (2024)

An effective analytic recurrence for prime numbers
by: Cloitre, Benoit
Published: (2025)

Heterogeneous Stirling numbers and heterogeneous Bell polynomials
by: Kim, Taekyun, et al.
Published: (2025)

Convolutions of second order sequences: A direct approach
by: Adegoke, Kunle, et al.
Published: (2024)

Thin subbases of Piatetski-Shapiro sequences
by: Táfula, Christian
Published: (2026)

Identities between polynomials related to Stirling and harmonic numbers
by: Kellner, Bernd C.
Published: (2012)

On integrality and asymptotic behavior of the $(k, l)$-Göbel sequences
by: Gima, Hibiki, et al.
Published: (2024)

Generalizing the Eight Levels Theorem: A Journey to Mersenne Prime Discoveries and New Polynomial Classes
by: Ibrahim, Moustafa
Published: (2024)

Observations towards a proof of the Collatz conjecture using $2^{j}k+x$ number series
by: Stöckl, J.
Published: (2023)

On the distribution of additive energy revisited
by: Hegyvári, Norbert
Published: (2026)

Iteration Steps of 3x+1 Problem
by: Luo, Youchun
Published: (2025)

Deriving Closed-Form Expressions for Arithmetic Sequence Sums Raised to Integer Powers via Calculus
by: Abdalsahib, Ahmed Abdalmuhsin
Published: (2025)

Elliptic Curves, Riordan arrays and Lattice Paths
by: Barry, Paul
Published: (2025)

On addition chains and progress on the Scholz conjecture
by: Agama, Theophilus
Published: (2021)

The Hofstadter consecutive-sum sequence omits infinitely many positive integers
by: Tang, Quanyu
Published: (2026)

A Note on the Number of Representations of $n$ as a Sum of Generalized Polygonal Numbers
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)

Fibonacci-harmonic sums
by: Adegoke, Kunle, et al.
Published: (2025)

On Generalized Bihyperbolic Third-order Jacobsthal Polynomials
by: Cerda-Morales, Gamaliel
Published: (2024)

Three new classes of binomial Fibonacci sums
by: Frontczak, Robert
Published: (2023)

Integration Formulas Involving Fibonacci and Lucas Numbers
by: Adegoke, Kunle, et al.
Published: (2024)

A matricial view of the Collatz conjecture
by: Paparella, Pietro
Published: (2024)