Search Results for: 15A15

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

Carlos M. da Fonseca and Anthony G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 3, Pages 557–563 DOI: 10.7546/nntdm.2023.29.3.557-563 Full paper (PDF, 350 Kb) Details Authors and affiliations Carlos … Continue reading

Comments Off on On a sequence derived from the Laplace transform of the characteristic polynomial of the Fibonacci sequence

On linear algebra of one type of symmetric matrices with harmonic Fibonacci entries

Mücahit Akbıyık, Seda Yamaç Akbıyık and Fatih Yılmaz Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 399–410 DOI: 10.7546/nntdm.2022.28.3.399-410 Full paper (PDF, 209 Kb) Details Authors and affiliations Mücahit … Continue reading

Comments Off on On linear algebra of one type of symmetric matrices with harmonic Fibonacci entries

The Hadamard-type k-step Pell sequences

Ömür Deveci, ‪Yeşim Aküzüm and Muhammad Eshaq Rashedi Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 339–349 DOI: 10.7546/nntdm.2022.28.2.339-349 Full paper (PDF, 239 Kb) Details Authors and affiliations Ömür … Continue reading

Comments Off on The Hadamard-type k-step Pell sequences

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

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

Determinantal representations for the number of subsequences without isolated odd terms

Milica Anđelic and Carlos M. da Fonseca Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 116–121 DOI: 10.7546/nntdm.2021.27.4.116-121 Full paper (PDF, 157 Kb) Details Authors and affiliations Milica Anđelic … Continue reading

Comments Off on Determinantal representations for the number of subsequences without isolated odd terms

On the connections among Fibonacci, Pell, Jacobsthal and Padovan numbers

Ömür Deveci Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 111–128 DOI: 10.7546/nntdm.2021.27.2.111-128 Full paper (PDF, 248 Kb) Details Authors and affiliations Ömür Deveci Department of Mathematics, Faculty of … Continue reading

Comments Off on On the connections among Fibonacci, Pell, Jacobsthal and Padovan numbers

On the connections between Pell numbers and Fibonacci
p-numbers

Anthony G. Shannon, Özgür Erdağ and Ömür Deveci Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 1, Pages 148–160 DOI: 10.7546/nntdm.2021.27.1.148-160 Full paper (PDF, 235 Kb) Details Authors and affiliations Anthony … Continue reading

Comments Off on On the connections between Pell numbers and Fibonacci
p-numbers

On some analogues of the Bourque–Ligh conjecture on LCM matrices

Pentti Haukkanen and Juha Sillanpää Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 3, 1997, Number 1, Pages 52–57 Full paper (PDF, 249 Kb) Details Authors and affiliations Pentti Haukkanen Department of Mathematical Sciences, University of Tampere P.O.Box … Continue reading

Comments Off on On some analogues of the Bourque–Ligh conjecture on LCM matrices

On generalized order-k modified Pell and Pell–Lucas numbers in terms of Fibonacci and Lucas numbers

Ahmet Daşdemir Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 2, Pages 205–212 DOI: 10.7546/nntdm.2020.26.2.205-212 Full paper (PDF, 345 Kb) Details Authors and affiliations Ahmet Daşdemir Department of Mathematics, Faculty of … Continue reading

Comments Off on On generalized order-k modified Pell and Pell–Lucas numbers in terms of Fibonacci and Lucas numbers

On bipartite graphs and the Fibonacci numbers

Fatih Yılmaz and Pınar Eldutar Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 4, Pages 143–149 DOI: 10.7546/nntdm.2019.25.4.143-149 Full paper (PDF, 157 Kb) Details Authors and affiliations Fatih Yılmaz Department of … Continue reading

Comments Off on On bipartite graphs and the Fibonacci numbers