**Volume 29** ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4 (Online First)

**On the bivariate Padovan polynomials matrix**

*Original research paper. Pages 407—420*

Orhan Dişkaya, Hamza Menken and Paula Maria Machado Cruz Catarino

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**A note on a generalization of Riordan’s combinatorial identity via a hypergeometric series approach**

*Original research paper. Pages 421—425*

Dongkyu Lim

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**On vertex resolvability of a circular ladder of nonagons**

*Original research paper. Pages 426—444*

Sunny Kumar Sharma and Vijay Kumar Bhat

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**The mean value of the function in arithmetic progressions**

*Original research paper. Pages 445—453*

Ouarda Bouakkaz and Abdallah Derbal

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where

**On certain inequalities for the prime counting function – Part III**

*Original research paper. Pages 454—461*

József Sándor

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**Narayana sequence and the Brocard–Ramanujan equation**

*Original research paper. Pages 462—473*

Mustafa Ismail, Salah Eddine Rihane, M. Anwar

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**Digits of powers of 2 in ternary numeral system**

*Original research paper. Pages 474—485*

Yagub N. Aliyev

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**Explicit relations on the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials and numbers**

*Original research paper. Pages 486—494*

Burak Kurt

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**Solution to a pair of linear, two-variable, Diophantine equations with coprime coefficients from balancing and Lucas-balancing numbers**

*Original research paper. Pages 495—502*

R. K. Davala

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**Coding theory on the generalized balancing sequence**

*Original research paper. Pages 503—524*

Elahe Mehraban and Mansour Hashemi

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**Enumeration of cyclic vertices and components over the congruence **

*Original research paper. Pages 525—537*

Sanjay Kumar Thakur, Pinkimani Goswami and Gautam Chandra Ray

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**The 2-successive partial Bell polynomials**

*Original research paper. Pages 538—544*

Meriem Tiachachat and Miloud Mihoubi

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**On ternary Dejean words avoiding 010**

*Original research paper. Pages 545—548*

Pascal Ochem

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**The Dirichlet divisor problem over square-free integers and unitary convolutions**

*Original research paper. Pages 549—556*

André Pierro de Camargo

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**On a sequence derived from the Laplace transform of the characteristic polynomial of the Fibonacci sequence**

*Original research paper. Pages 557—563*

Carlos M. da Fonseca and Anthony G. Shannon

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**The average value of a certain number-theoretic function over the primes**

*Original research paper. Pages 564—570*

Louis Rubin

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**On properties of generalized Tridovan numbers**

*Original research paper. Pages 571—588*

Yüksel Soykan, Nejla Özmen and Inci Okumuş

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**Objects generated by an arbitrary natural number. Part 4: New aspects**

*Original research paper. Pages 589—597*

Krassimir Atanassov

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**On special exponential Diophantine equations**

*Original research paper. Pages 598—602*

Tomáš Riemel

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**The group determinants for ℤ _{n} × H**

*Original research paper. Pages 603—619*

Bishnu Paudel and Chris Pinner

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**Topological structures induced by chromatic partitioning of vertex set of graphs**

*Original research paper. Pages 620—634*

K. Lalithambigai and P. Gnanachandra

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*This volume of the International Journal “Notes on Number Theory and Discrete Mathematics” is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP4/30/2022.*

**Volume 29** ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4 (Online First)