**Volume 29** ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4

**On the bivariate Padovan polynomials matrix**

*Original research paper. Pages 407–420*

Orhan Dişkaya, Hamza Menken and Paula Maria Machado Cruz Catarino

Full paper (PDF, 237 Kb) | Abstract

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

*Original research paper. Pages 421–425*

Dongkyu Lim

Full paper (PDF, 164 Kb) | Abstract

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

*Original research paper. Pages 426–444*

Sunny Kumar Sharma and Vijay Kumar Bhat

Full paper (PDF, 288 Kb) | Abstract

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

*Original research paper. Pages 445–453*

Ouarda Bouakkaz and Abdallah Derbal

Full paper (PDF, 304 Kb) | Abstract

where

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

*Original research paper. Pages 454–461*

József Sándor

Full paper (PDF, 259 Kb) | Abstract

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

*Original research paper. Pages 462–473*

Mustafa Ismail, Salah Eddine Rihane and M. Anwar

Full paper (PDF, 202 Kb) | Abstract

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

*Original research paper. Pages 474–485*

Yagub N. Aliyev

Full paper (PDF, 790 Kb) | Abstract

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

*Original research paper. Pages 486–494*

Burak Kurt

Full paper (PDF, 207 Kb) | Abstract

**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

Full paper (PDF, 222 Kb) | Abstract

**Coding theory on the generalized balancing sequence**

*Original research paper. Pages 503–524*

Elahe Mehraban and Mansour Hashemi

Full paper (PDF, 278 Kb) | Abstract

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

*Original research paper. Pages 525–537*

Sanjay Kumar Thakur, Pinkimani Goswami and Gautam Chandra Ray

Full paper (PDF, 3.6 Mb) | Abstract

**The 2-successive partial Bell polynomials**

*Original research paper. Pages 538–544*

Meriem Tiachachat and Miloud Mihoubi

Full paper (PDF, 203 Kb) | Abstract

**On ternary Dejean words avoiding 010**

*Original research paper. Pages 545–548*

Pascal Ochem

Full paper (PDF, 187 Kb) | Abstract

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

*Original research paper. Pages 549–556*

André Pierro de Camargo

Full paper (PDF, 242 Kb) | Abstract

**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

Full paper (PDF, 350 Kb) | Abstract

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

*Original research paper. Pages 564–570*

Louis Rubin

Full paper (PDF, 212 Kb) | Abstract

**On properties of generalized Tridovan numbers**

*Original research paper. Pages 571–588*

Yüksel Soykan, Nejla Özmen and Inci Okumuş

Full paper (PDF, 240 Kb) | Abstract

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

*Original research paper. Pages 589–597*

Krassimir Atanassov

Full paper (PDF, 229 Kb) | Abstract

**On special exponential Diophantine equations**

*Original research paper. Pages 598–602*

Tomáš Riemel

Full paper (PDF, 165 Kb) | Abstract

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

*Original research paper. Pages 603–619*

Bishnu Paudel and Chris Pinner

Full paper (PDF, 293 Kb) | Abstract

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

*Original research paper. Pages 620–634*

K. Lalithambigai and P. Gnanachandra

Full paper (PDF, 207 Kb) | Abstract

*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.*