Cover Image

New sums mixing harmonic numbers and central binomial coefficients

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bataille, Micheal, Frontczak, Robert
Format:	Preprint
Published:	2026
Subjects:	Number Theory 05A10, 11B37, 11B39
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Evaluation of some alternating series involving the binomial coefficients $C(4n,2n)$
by: Adegoke, Kunle, et al.
Published: (2024)

Combinatorial sums derived from properties of Legendre polynomials
by: Bataille, Michel, et al.
Published: (2026)

Double sums associated with binomial transforms
by: Adegoke, Kunle, et al.
Published: (2025)

General convolution sums involving Fibonacci m-step numbers
by: Frontczak, Robert, et al.
Published: (2024)

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

Applications of an identity of Batır
by: Adegoke, Kunle, et al.
Published: (2026)

On the divisibility of sums of Fibonacci numbers
by: Flynn-Connolly, Oisín
Published: (2025)

Periodic minimum in the count of binomial coefficients not divisible by a prime
by: Hwang, Hsien-Kuei, et al.
Published: (2024)

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

Double sums involving binomial coefficients and special numbers
by: Adegoke, Kunle, et al.
Published: (2025)

The Fibonacci-Fubini and Lucas-Fubini numbers
by: Djemmada, Yahia, et al.
Published: (2024)

Solutions for $k$-generalized Fibonacci numbers using Fuss-Catalan numbers
by: Mane, S. R.
Published: (2024)

Weighted sums of Lucas numbers of the first and second kind
by: Mbirika, aBa
Published: (2025)

Combinatorial identities with multiple harmonic-like numbers
by: Adegoke, Kunle, et al.
Published: (2024)

Multinomial Catalan Numbers and Lucas Analogues
by: Da Conceição, Joaquim Cera
Published: (2024)

A $2$-Regular Sequence That Counts The Divisors of $n^2 + 1$
by: Shakov, Anton
Published: (2025)

Maximizing weighted sums of binomial coefficients using generalized continued fractions
by: Glasby, S. P., et al.
Published: (2023)

On the variation of the sum of digits in the Zeckendorf representation: an algorithm to compute the distribution and mixing properties
by: Hosten, Yohan
Published: (2023)

New congruences involving harmonic numbers
by: Sun, Zhi-Wei
Published: (2014)

Bounds on the number of squares in recurrence sequences
by: Voutier, Paul M
Published: (2024)

Bounds on the number of squares in recurrence sequences: $y_{0}=b^{2}$ (I)
by: Voutier, Paul M
Published: (2025)

Some subsets of set F in the diluted Hofstadter problem
by: Deane, Jonathan H. B., et al.
Published: (2025)

On the Integral Representations of the $k$-Pell and $k$-Pell-Lucas Numbers
by: Nilsrakoo, Achariya, et al.
Published: (2025)

The index and its prime divisors
by: Wojtkowski, Maciej P.
Published: (2024)

On certain Fibonacci representations
by: Liptai, Kálmán, et al.
Published: (2024)

On Sequence Groups
by: Lipinski, Zbigniew, et al.
Published: (2021)

Généralisation du Théorème de Zeckendorf
by: Chergui, Rachid
Published: (2024)

Series Associated with Harmonic Numbers, Fibonacci Numbers and Central Binomial Coefficients $\binom{2n}{n}$
by: Segun, Akerele Olofin
Published: (2024)

On Some Series Involving the Central Binomial Coefficients
by: Adegoke, Kunle, et al.
Published: (2025)

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

Explicit valuation of elliptic nets for elliptic curves with complex multiplication
by: Au-Yeung, Edison H L
Published: (2025)

Uniform Bounds for Digit-Appending Fibonacci Walks
by: Kominers, Scott Duke
Published: (2025)

On the sum of a prime and two Fibonacci numbers
by: Xu, Ji-Zhen, et al.
Published: (2025)

On series identities involving $\binom{4k}k$ and harmonic numbers
by: Jiang, Bo, et al.
Published: (2026)

The Frobenius problem for Numerical Semigroups generated by binomial coefficients
by: Hwang, WonTae, et al.
Published: (2024)

Gaps in the complex Farey sequence of an imaginary quadratic number field
by: Sayous, Rafael
Published: (2024)

Series involving central binomial coefficients and higher-order harmonic numbers
by: Sun, Zhi-Wei, et al.
Published: (2026)

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

Connectedness of special points in the Markoff mod $p$ graphs
by: Bellah, Elisa, et al.
Published: (2025)

On the number of residues of certain second-order linear recurrences
by: Accossato, Federico, et al.
Published: (2024)