Search Results for: 11B83

Cycles of higher-order Collatz sequences

John L. Simons Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 48–63 DOI: 10.7546/nntdm.2022.28.1.48-63 Full paper (PDF, 326 Kb) Details Authors and affiliations John L. Simons University of Groningen … Continue reading →

Comments Off on Cycles of higher-order Collatz sequences

Incomplete generalized Vieta–Pell and Vieta–Pell–Lucas polynomials

Bahar Kuloğlu, Engin Özkan and Anthony G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 245–256 DOI: 10.7546/nntdm.2021.27.4.245-256 Full paper (PDF, 149 Kb) Details Authors and affiliations Bahar … Continue reading →

Comments Off on Incomplete generalized Vieta–Pell and Vieta–Pell–Lucas polynomials

On k-circulant matrices with the generalized third-order Pell numbers

Yüksel Soykan Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 187–206 DOI: 10.7546/nntdm.2021.27.4.187-206 Full paper (PDF, 265 Kb) Details Authors and affiliations Yüksel Soykan Department of Mathematics, Art and … Continue reading →

Comments Off on On k-circulant matrices with the generalized third-order Pell numbers

On evolving chains of cube-free binary sequences

Jacek M. Kowalski and Andrzej Pękalski Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 3, Pages 79–94 DOI: 10.7546/nntdm.2021.27.3.79-94 Full paper (PDF, 217 Kb) Details Authors and affiliations Jacek M. Kowalski … Continue reading →

Comments Off on On evolving chains of cube-free binary sequences

De Moivre-type identities for the Jacobsthal numbers

Mücahit Akbiyik and Seda Yamaç Akbiyik Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 3, Pages 95–103 DOI: 10.7546/nntdm.2021.27.3.95-103 Full paper (PDF, 157 Kb) Details Authors and affiliations Mücahit Akbiyik Department … Continue reading →

Comments Off on De Moivre-type identities for the Jacobsthal numbers

The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials

Merve Taştan, Engin Özkan and Anthony G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 148–158 DOI: 10.7546/nntdm.2021.27.2.148-158 Full paper (PDF, 802 Kb) Details Authors and affiliations Merve … Continue reading →

Comments Off on The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials

Regular polygons, Morgan-Voyce polynomials, and Chebyshev polynomials

Jorma K. Merikoski Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 79–87 DOI: 10.7546/nntdm.2021.27.2.79-87 Full paper (PDF, 196 Kb) Details Authors and affiliations Jorma K. Merikoski Faculty of Information … Continue reading →

Comments Off on Regular polygons, Morgan-Voyce polynomials, and Chebyshev polynomials

Sums of powers of integers and hyperharmonic numbers

José Luis Cereceda Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 101–110 DOI: 10.7546/nntdm.2021.27.2.101-110 Full paper (PDF, 191 Kb) Details Authors and affiliations José Luis Cereceda Collado Villalba, 28400 … Continue reading →

Comments Off on Sums of powers of integers and hyperharmonic numbers

Some identities of generalized Tribonacci and Jacobsthal polynomials

Abdeldjabar Hamdi and Salim Badidja Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 137–147 DOI: 10.7546/nntdm.2021.27.2.137-147 Full paper (PDF, 212 Kb) Details Authors and affiliations Abdeldjabar Hamdi Faculty of … Continue reading →

Comments Off on Some identities of generalized Tribonacci and Jacobsthal polynomials

The Oresme sequence: The generalization of its matrix form and its hybridization process

Milena Carolina dos Santos Mangueira, Renata Passos Machado Vieira, Francisco Regis Vieira Alves and Paula Maria Machado Cruz Catarino Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 1, Pages 101–111 DOI: … Continue reading →

Comments Off on The Oresme sequence: The generalization of its matrix form and its hybridization process