Series Associated with Harmonic Numbers, Fibonacci Numbers and Central Binomial Coefficients $\binom{2n}{n}$
Fuente:
arXiv
Saved in:
| Main Author: | Segun, Akerele Olofin |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Explicit Identities and new results for Infinite Series associated with the Ratio of Central Binomial Coefficients
by: Dzokotoe, Yao Mawugna, et al.
Published: (2025)
by: Dzokotoe, Yao Mawugna, et al.
Published: (2025)
Some Classes of series involving the Riemann zeta function, Fibonacci numbers and the Lucas numbers
by: Segun, Akerele Olofin
Published: (2024)
by: Segun, Akerele Olofin
Published: (2024)
Simplicial $d$-Polytopic Numbers Defined on Generalized Fibonacci Polynomials
by: López, Ronald Orozco
Published: (2025)
by: López, Ronald Orozco
Published: (2025)
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)
Multinomial Catalan Numbers and Lucas Analogues
by: Da Conceição, Joaquim Cera
Published: (2024)
by: Da Conceição, Joaquim Cera
Published: (2024)
On series identities involving $\binom{4k}k$ and harmonic numbers
by: Jiang, Bo, et al.
Published: (2026)
by: Jiang, Bo, et al.
Published: (2026)
On the divisibility of sums of Fibonacci numbers
by: Flynn-Connolly, Oisín
Published: (2025)
by: Flynn-Connolly, Oisín
Published: (2025)
New Binomial Identities for Fibonacci, Lucas, and Generalized Fibonacci Sequences with Multiple Indices
by: Vorobtsov, Nick
Published: (2026)
by: Vorobtsov, Nick
Published: (2026)
Notes on Divisibility of Catalan Numbers
by: Yildiz, Volkan
Published: (2025)
by: Yildiz, Volkan
Published: (2025)
$q$-Super Catalan Numbers: Combinatorial identities, Generating Functions, and Narayana Refinements
by: Rodelet--Causse, Arthur, et al.
Published: (2025)
by: Rodelet--Causse, Arthur, et al.
Published: (2025)
The Fibonacci-Fubini and Lucas-Fubini numbers
by: Djemmada, Yahia, et al.
Published: (2024)
by: Djemmada, Yahia, et al.
Published: (2024)
Généralisation du Théorème de Zeckendorf
by: Chergui, Rachid
Published: (2024)
by: Chergui, Rachid
Published: (2024)
Solvability of $\binom{2k}{k} = \binom{2a}{a} \binom{x+2b}{b}$
by: Allen, Meaghan
Published: (2024)
by: Allen, Meaghan
Published: (2024)
On some Series involving Reciprocals of $\binom{2n}{n}$ and the Catalan's Constant $G$
by: Akerele, Olofin, et al.
Published: (2024)
by: Akerele, Olofin, et al.
Published: (2024)
Evaluations of $ \sum_{k=1}^\infty \frac{x^k}{k^2\binom{3k}{k}}$ and related series
by: Sun, Zhi-Wei, et al.
Published: (2024)
by: Sun, Zhi-Wei, et al.
Published: (2024)
On Some Series Involving the Central Binomial Coefficients
by: Adegoke, Kunle, et al.
Published: (2025)
by: Adegoke, Kunle, et al.
Published: (2025)
Some power series extensions of Fibonacci and Lucas polynomials
by: Cigler, Johann
Published: (2025)
by: Cigler, Johann
Published: (2025)
Asymptotic Analysis of Central Binomiacci Numbers
by: Pérez-Rosés, Hebert
Published: (2025)
by: Pérez-Rosés, Hebert
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)
Some Congruences Involving Fourth Powers of Generalized Central Trinomial Coefficients
by: Otmani, Yassine, et al.
Published: (2025)
by: Otmani, Yassine, et al.
Published: (2025)
Applications of an identity of Batır
by: Adegoke, Kunle, et al.
Published: (2026)
by: Adegoke, Kunle, et al.
Published: (2026)
Evaluations of some series of the type $\sum_{k=0}^\infty(ak+b)x^k/\binom{mk}{nk}$
by: Sun, Zhi-Wei
Published: (2022)
by: Sun, Zhi-Wei
Published: (2022)
Convolution Identities of Stirling Numbers
by: Li, Nadia Na, et al.
Published: (2024)
by: Li, Nadia Na, et al.
Published: (2024)
On the binomial transforms of Apéry-like sequences
by: Liu, Ji-Cai
Published: (2024)
by: Liu, Ji-Cai
Published: (2024)
Congruences for sums of MacMahon's $q$-Catalan polynomials
by: Amdeberhan, Tewodros, et al.
Published: (2024)
by: Amdeberhan, Tewodros, et al.
Published: (2024)
Summation Formulae for Binomial Moments
by: Chen, Marta Na, et al.
Published: (2026)
by: Chen, Marta Na, et al.
Published: (2026)
Double sums associated with binomial transforms
by: Adegoke, Kunle, et al.
Published: (2025)
by: Adegoke, Kunle, et al.
Published: (2025)
Generating Trees and Fibonacci Polyominoes
by: Pulido, Juan F., et al.
Published: (2024)
by: Pulido, Juan F., et al.
Published: (2024)
Universal Matrices for Counting Fibonomial and $C$-nomial Coefficients by their $p$-adic Valuations
by: Chand, Arav
Published: (2025)
by: Chand, Arav
Published: (2025)
New sums mixing harmonic numbers and central binomial coefficients
by: Bataille, Micheal, et al.
Published: (2026)
by: Bataille, Micheal, 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)
A new combinatorial interpretation of partial sums of $m$-step Fibonacci numbers
by: Bates, Erik, et al.
Published: (2025)
by: Bates, Erik, et al.
Published: (2025)
Identically vanishing $k$-generalized Fibonacci polynomials
by: Mane, S. R.
Published: (2025)
by: Mane, S. R.
Published: (2025)
A $2$-Regular Sequence That Counts The Divisors of $n^2 + 1$
by: Shakov, Anton
Published: (2025)
by: Shakov, Anton
Published: (2025)
Connections between two classes of generalized Fibonacci numbers squared and permanents of (0,1) Toeplitz matrices
by: Allen, Michael A., et al.
Published: (2021)
by: Allen, Michael A., et al.
Published: (2021)
Fibonacci-harmonic sums
by: Adegoke, Kunle, et al.
Published: (2025)
by: Adegoke, Kunle, et al.
Published: (2025)
Partition Functions and Kurepa Decomposition I: Algebraic computation and some physical Applications
by: Howard, Francis Atta
Published: (2025)
by: Howard, Francis Atta
Published: (2025)
Fibonacci Numbers and Their Lucas Coefficients
by: Suthar, Tapan
Published: (2025)
by: Suthar, Tapan
Published: (2025)
Solutions for $k$-generalized Fibonacci numbers using Fuss-Catalan numbers
by: Mane, S. R.
Published: (2024)
by: Mane, S. R.
Published: (2024)
Beyond Wolstenholme's Theorem
by: Cinkir, Zubeyir
Published: (2023)
by: Cinkir, Zubeyir
Published: (2023)
Similar Items
-
Explicit Identities and new results for Infinite Series associated with the Ratio of Central Binomial Coefficients
by: Dzokotoe, Yao Mawugna, et al.
Published: (2025) -
Some Classes of series involving the Riemann zeta function, Fibonacci numbers and the Lucas numbers
by: Segun, Akerele Olofin
Published: (2024) -
Simplicial $d$-Polytopic Numbers Defined on Generalized Fibonacci Polynomials
by: López, Ronald Orozco
Published: (2025) -
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) -
Multinomial Catalan Numbers and Lucas Analogues
by: Da Conceição, Joaquim Cera
Published: (2024)