An Elementary Proof of the Generalization of the Binet Formula for $k$-bonacci Numbers
Fuente:
arXiv
Saved in:
| Main Authors: | Parks, Harold R., Wills, Dean C. |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Structure and growth of $\mathbb{R}$-bonacci words
by: Dovgal, Sergey, et al.
Published: (2023)
by: Dovgal, Sergey, et al.
Published: (2023)
Sums of $k$-bonacci Numbers
by: Parks, Harold R., et al.
Published: (2022)
by: Parks, Harold R., et al.
Published: (2022)
Simplicial $d$-Polytopic Numbers Defined on Generalized Fibonacci Polynomials
by: López, Ronald Orozco
Published: (2025)
by: López, Ronald Orozco
Published: (2025)
Summing the sum of digits
by: Allouche, Jean-Paul, et al.
Published: (2023)
by: Allouche, Jean-Paul, et al.
Published: (2023)
Small Matrices with Small Inverses: Unimodular Zerofree Cases
by: Finch, Steven
Published: (2026)
by: Finch, Steven
Published: (2026)
A generalization of Bohr-Mollerup's theorem for higher order convex functions: a tutorial
by: Marichal, Jean-Luc, et al.
Published: (2022)
by: Marichal, Jean-Luc, et al.
Published: (2022)
A Universal Identity for Powers in Quadratic Algebras and a Matrix Derivation of a Fibonacci Identity
by: Mantovanelli, Marco
Published: (2026)
by: Mantovanelli, Marco
Published: (2026)
On Some Properties of Matrices with Entries Defined by Products of $k$-Fibonacci and $k$-Lucas Numbers
by: Espinosa, Pedro Fernando Fernández, et al.
Published: (2026)
by: Espinosa, Pedro Fernando Fernández, et al.
Published: (2026)
The Partial Theta Operator and Multivariate Generalized Lambert Series
by: López, Ronald Orozco
Published: (2025)
by: López, Ronald Orozco
Published: (2025)
Unique expansions in number systems via refinement equations
by: Konyagin, Sergei V., et al.
Published: (2025)
by: Konyagin, Sergei V., et al.
Published: (2025)
Parry condition, existence and uniqueness of alternate bases
by: Charlier, Émilie, et al.
Published: (2026)
by: Charlier, Émilie, et al.
Published: (2026)
General convolution sums involving Fibonacci m-step numbers
by: Frontczak, Robert, et al.
Published: (2024)
by: Frontczak, Robert, et al.
Published: (2024)
Half-Iterates and Delta Conjectures
by: Finch, Steven
Published: (2025)
by: Finch, Steven
Published: (2025)
Periodic minimum in the count of binomial coefficients not divisible by a prime
by: Hwang, Hsien-Kuei, et al.
Published: (2024)
by: Hwang, Hsien-Kuei, et al.
Published: (2024)
Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers
by: López, Ronald Orozco
Published: (2023)
by: López, Ronald Orozco
Published: (2023)
On some Properties of Generalized Tribonacci Spinors
by: Cerda-Morales, Gamaliel
Published: (2024)
by: Cerda-Morales, Gamaliel
Published: (2024)
A Deceptively Simple Quadratic Recurrence
by: Finch, Steven
Published: (2024)
by: Finch, Steven
Published: (2024)
Computing Expansions in Infinitely Many Cantor Real Bases via a Single Transducer
by: Charlier, Émilie, et al.
Published: (2025)
by: Charlier, Émilie, et al.
Published: (2025)
Universal Matrices for Counting Fibonomial and $C$-nomial Coefficients by their $p$-adic Valuations
by: Chand, Arav
Published: (2025)
by: Chand, Arav
Published: (2025)
The Fibonacci-Fubini and Lucas-Fubini numbers
by: Djemmada, Yahia, et al.
Published: (2024)
by: Djemmada, Yahia, et al.
Published: (2024)
Prime Certificates for Exact Vertex-Coprime Ramsey Numbers
by: Du, Zhicheng, et al.
Published: (2026)
by: Du, Zhicheng, et al.
Published: (2026)
The holonomic triangle: from a symmetry between $e$ and $π$ to additive Gamma functions
by: Cloitre, Benoit
Published: (2026)
by: Cloitre, Benoit
Published: (2026)
Identically vanishing $k$-generalized Fibonacci polynomials
by: Mane, S. R.
Published: (2025)
by: Mane, S. R.
Published: (2025)
Exercises in Iterational Asymptotics IV
by: Finch, Steven
Published: (2025)
by: Finch, Steven
Published: (2025)
Cubic congruences and binary quadratic forms
by: Sun, Zhi-Hong
Published: (2025)
by: Sun, Zhi-Hong
Published: (2025)
Solutions for $k$-generalized Fibonacci numbers using Fuss-Catalan numbers
by: Mane, S. R.
Published: (2024)
by: Mane, S. R.
Published: (2024)
Fractional Iterates and Oscillatory Convergence
by: Finch, Steven
Published: (2025)
by: Finch, Steven
Published: (2025)
Bialgebraic varieties of the Gamma function
by: Eterović, Sebastian, et al.
Published: (2025)
by: Eterović, Sebastian, et al.
Published: (2025)
Exercises in Iterational Asymptotics III
by: Finch, Steven
Published: (2025)
by: Finch, Steven
Published: (2025)
On determinants involving $(\frac{j+k}p)\pm(\frac{j-k}p)$
by: Chen, Deyi, et al.
Published: (2024)
by: Chen, Deyi, et al.
Published: (2024)
On the Integral Representations of the $k$-Pell and $k$-Pell-Lucas Numbers
by: Nilsrakoo, Achariya, et al.
Published: (2025)
by: Nilsrakoo, Achariya, et al.
Published: (2025)
Log-Concavity and Infinite Log-Concavity of Linear Recurrent Sequences with Linear Coefficients via Companion Matrix Methods
by: Giacomelli, Piero
Published: (2026)
by: Giacomelli, Piero
Published: (2026)
Block-Separated Overpartitions: Fibonacci Structure and Euler Factorization
by: Mehiri, El-Mehdi
Published: (2025)
by: Mehiri, El-Mehdi
Published: (2025)
On determinants involving $(\frac{j^2-k^2}p)$ and $(\frac{jk}p)$
by: Chen, Deyi, et al.
Published: (2024)
by: Chen, Deyi, et al.
Published: (2024)
Counting the number of inequivalent arithmetic expressions on $n$ variables
by: Stošić, Ivan, et al.
Published: (2024)
by: Stošić, Ivan, et al.
Published: (2024)
q-Parikh Matrices and q-deformed binomial coefficients of words
by: Renard, Antoine, et al.
Published: (2024)
by: Renard, Antoine, et al.
Published: (2024)
Second order Recurrences, quadratic number fields and cyclic codes
by: Shi, Minjia, et al.
Published: (2026)
by: Shi, Minjia, et al.
Published: (2026)
The Carlitz module and a differential Ax-Lindemann-Weierstrass theorem for the Euler gamma function
by: Di Vizio, Lucia, et al.
Published: (2025)
by: Di Vizio, Lucia, et al.
Published: (2025)
The Intermediate Value Theorem for Linear Transformations
by: Martinez-Avendaño, Ruben A.
Published: (2024)
by: Martinez-Avendaño, Ruben A.
Published: (2024)
Nearly-polynomial inverse theorem for the U^d norm in degree d+1
by: Milo, Tomer, et al.
Published: (2026)
by: Milo, Tomer, et al.
Published: (2026)
Similar Items
-
Structure and growth of $\mathbb{R}$-bonacci words
by: Dovgal, Sergey, et al.
Published: (2023) -
Sums of $k$-bonacci Numbers
by: Parks, Harold R., et al.
Published: (2022) -
Simplicial $d$-Polytopic Numbers Defined on Generalized Fibonacci Polynomials
by: López, Ronald Orozco
Published: (2025) -
Summing the sum of digits
by: Allouche, Jean-Paul, et al.
Published: (2023) -
Small Matrices with Small Inverses: Unimodular Zerofree Cases
by: Finch, Steven
Published: (2026)