Search Results for: 11B37

On complex Leonardo numbers

Adnan Karataş Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 458–465 DOI: 10.7546/nntdm.2022.28.3.458-465 Full paper (PDF, 149 Kb) Details Authors and affiliations Adnan Karataş Department of Mathematics, Faculty of … Continue reading

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On hyperbolic k-Jacobsthal and k-Jacobsthal–Lucas octonions

Engin Özkan and Mine Uysal Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 318–330 DOI: 10.7546/nntdm.2022.28.2.318-330 Full paper (PDF, 344 Kb) Details Authors and affiliations Engin Özkan Department of … Continue reading

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q-Fibonacci bicomplex and q-Lucas bicomplex numbers

Fügen Torunbalcı Aydın Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 261–275 DOI: 10.7546/nntdm.2022.28.2.261-275 Full paper (PDF, 252 Kb) Details Authors and affiliations Fügen Torunbalcı Aydın  Yildiz Technical University, … Continue reading

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Some equalities and binomial sums about the generalized Fibonacci number un

Yücel Türker Ulutaş and Derya Toy Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 252–260 DOI: 10.7546/nntdm.2022.28.2.252-260 Full paper (PDF, 146 Kb) Details Authors and affiliations Yücel Türker Ulutaş … Continue reading

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Linear recurrence sequence associated to rays of negatively extended Pascal triangle

Hacène Belbachir, Abdelkader Bouyakoub and Fariza Krim Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 129–142 DOI: 10.7546/nntdm.2022.28.1.129-142 Full paper (PDF, 247 Kb) Details Authors and affiliations Hacène Belbachir … Continue reading

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Leonardo’s bivariate and complex polynomials

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 28, 2022, Number 1, Pages 115–123 DOI: … Continue reading

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A note on generalized and extended Leonardo sequences

Anthony G. Shannon and Ömür Deveci Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 109–114 DOI: 10.7546/nntdm.2022.28.1.109-114 Full paper (PDF, 605 Kb) Details Authors and affiliations Anthony G. Shannon … Continue reading

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Determinantal and permanental representations of companion sequences associated to the r-Fibonacci sequence

Hacène Belbachir and Ihab-Eddine Djellas Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 64–74 DOI: 10.7546/nntdm.2022.28.1.64-74 Full paper (PDF, 181 Kb) Details Authors and affiliations Hacène Belbachir USTHB, Faculty … Continue reading

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Relations on higher dimensional Padovan sequences

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 4, Pages 167–179 DOI: 10.7546/nntdm.2021.27.4.167-179 Full paper (PDF, 187 … Continue reading

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Fundamental properties of extended Horadam numbers

Gülsüm Yeliz Şentürk, Nurten Gürses and Salim Yüce Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 219–235 DOI: 10.7546/nntdm.2021.27.4.219-235 Full paper (PDF, 302 Kb) Details Authors and affiliations Gülsüm … Continue reading

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