Search Results for: 11B39

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

On two new two-dimensional extensions of the Fibonacci sequence

Krassimir T. Atanassov Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 3, Pages 115—122 Download full paper: PDF, 133 Kb Details Authors and affiliations Krassimir T. Atanassov Department of Bioinformatics and … Continue reading

Closed-form evaluations of Fibonacci–Lucas reciprocal sums with three factors

Robert Frontczak Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 2, Pages 104—116 Download full paper: PDF, 189 Kb Details Authors and affiliations Robert Frontczak Landesbank Baden-Wuerttemberg Am Hauptbahnhof 2, 70173 … Continue reading

A Fibonacci integral lattice approach to Pythagoras’ Theorem

Anthony G. Shannon and John N. Crothers Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 1, Pages 88—90 Download full paper: PDF, 55 Kb Details Authors and affiliations Anthony G. Shannon … Continue reading

Primitive Pythagorean triples and generalized Fibonacci sequences

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 22, 2016, Number 4, Pages 54—62 Download full paper: PDF, 206 Kb Details Authors and affiliations J. V. Leyendekkers … Continue reading