**Volume 24** ▶ Number 1

**Some formulae which match with the prime counting function infinitely often **

*Original research paper. Pages 1—4*

Yannick Saouter

**On Dris conjecture about odd perfect numbers **

*Original research paper. Pages 5—9*

Paolo Starni

**An indicator characteristic for twin prime formation independent of integer size **

*Original research paper. Pages 10—15*

J. V. Leyendekkers and A. G. Shannon

**On a generalization of Eulerian numbers **

*Original research paper. Pages 16—42*

Claudio Pita-Ruiz

**Proofs of certain conjectures for means of two arguments **

*Original research paper. Pages 43—48*

József Sándor

**A new proof of Euler’s pentagonal number theorem **

*Original research paper. Pages 49—52*

A. David Christopher

**New index matrix representations of operations over natural numbers **

*Original research paper. Pages 53—60*

Lilija Atanassova

**Almost arithmetic progressions in ℤ/pℤ **

*Original research paper. Pages 61—75*

Mario Huicochea

**Fourier series of sums of products of Bernoulli and Euler/Genocchi functions**

*Original research paper. Pages 76—93*

Taekyun Kim, Dae San Kim, Toufik Mansour and Gwan-Woo Jang

**Short note on a new arithmetic function**

*Original research paper. Pages 94—96*

Krassimir T. Atanassov

**The greatest common divisors of generalized Fibonacci and generalized Pell numbers **

*Original research paper. Pages 97—102*

Boonyen Thongkam and Nutcha Sailadda

**Fibonacci and Lucas numbers via the determinants of tridiagonal matrix **

*Original research paper. Pages 103—108*

Taras Goy

**The arrowhead-Pell-random-type sequences**

*Original research paper. Pages 109—119*

Özgür Erdağ, Anthony G. Shannon and Ömür Deveci

**On generalizations of the Jacobsthal sequence **

*Original research paper. Pages 120—135*

Fügen Torunbalcı Aydın

**Corrigendum to “Sum of dilates of two sets” [Notes on Number Theory and Discrete Mathematics, Vol. 23, 2017, No. 4, 34–41] **

*Corrigendum. Page 136*

Raj Kumar Mistri

**Volume 24** ▶ Number 1