Search Results for: 11B39

Relationships between Fibonacci-type sequences and Golden-type ratios

R. Patrick Vernon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 85–89 DOI: 10.7546/nntdm.2018.24.2.85-89 Download full paper: PDF, 158 Kb Details Authors and affiliations R. Patrick Vernon Department of … Continue reading

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On two new combined 3-Fibonacci sequences

Krassimir T. Atanassov Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 90—93 DOI: 10.7546/nntdm.2018.24.2.90-93 Download full paper: PDF, 118 Kb Details Authors and affiliations Krassimir T. Atanassov Department of … Continue reading

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Sums of powers of Fibonacci and Lucas numbers: A new bottom-up approach

Robert Frontczak Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 94—103 DOI: 10.7546/nntdm.2018.24.2.94-103 Download full paper: PDF, 165 Kb Details Authors and affiliations Robert Frontczak Landesbank Baden-Wuerttemberg Am Hauptbahnhof … Continue reading

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The double Fibonacci sequences in groups and rings

Ömür Deveci Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 32—39 DOI: 10.7546/nntdm.2018.24.2.32-39 Download full paper: PDF, 136 Kb Details Authors and affiliations Ömür Deveci Department of Mathematics, Faculty … Continue reading

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The greatest common divisors of generalized Fibonacci and generalized Pell numbers

Boonyen Thongkam and Nutcha Sailadda Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 1, Pages 97—102 DOI: 10.7546/nntdm.2018.24.1.97-102 Download full paper: PDF, 141 Kb Details Authors and affiliations Boonyen Thongkam Department … Continue reading

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Fibonacci and Lucas numbers via the determinants of tridiagonal matrix

Taras Goy Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 1, Pages 103—108 DOI: 10.7546/nntdm.2018.24.1.103-108 Download full paper: PDF, 167 Kb Details Authors and affiliations Taras Goy Department of Mathematics and … Continue reading

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New index matrix representations of operations over natural numbers

Lilija Atanassova Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 1, Pages 53—60 DOI: 10.7546/nntdm.2018.24.1.53-60 Download full paper: PDF, 166 Kb Details Authors and affiliations Lilija Atanassova Institute of Information and … Continue reading

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Some variations on Fibonacci matrix graphs

Anthony G. Shannon and Ömür Deveci Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 23, 2017, Number 4, Pages 85—93 Download full paper: PDF, 201 Kb Details Authors and affiliations Anthony G. Shannon Emeritus Professor, University of Technology … Continue reading

Some properties of the bi-periodic Horadam sequences

Elif Tan Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 4, Pages 56—65 Download full paper: PDF, 168 Kb Details Authors and affiliations Elif Tan Department of Bioinformatics and Mathematical Modelling … Continue reading

On k-balancing numbers

Arzu Özkoç and Ahmet Tekcan Ömür Deveci and Anthony G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 23, 2017, Number 3, Pages 38—52 Download full paper: PDF, 205 Kb Details Authors and affiliations Arzu Özkoç Düzce … Continue reading