Search Results for: 11B39

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

Further results on arctangent sums with applications to generalized Fibonacci numbers

Robert Frontczak Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 1, Pages 39—53 Download full paper: PDF, 206 Kb Details Authors and affiliations Robert Frontczak Landesbank Baden-Wuerttemberg Am Hauptbahnhof 2, 70173 … Continue reading

Infinite product involves the Tribonacci numbers

Kantaphon Kuhapatanakul, Pornpawee Anantakitpaisal, Chanokchon Onsri and Suriya Na nhongkai Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 22, 2016, Number 4, Pages 78—81 Download full paper: PDF, 127 Kb Details Authors and affiliations … Continue reading

Identities for balancing numbers using generating function and some new congruence relations

Prasanta K Ray, Sunima Patel and Manoj K Mandal Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 22, 2016, Number 4, Pages 41—48 Download full paper: PDF, 173 Kb Details Authors and affiliations Prasanta … Continue reading

Figurate numbers in the modular ring Z4

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 49—55 Download full paper: PDF, 164 Kb Details Authors and affiliations J. V. Leyendekkers … Continue reading

Some characteristics of the Golden Ratio family

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 3, Pages 84—89 Download full paper: PDF, 157 Kb Details Authors and affiliations J. V. Leyendekkers … Continue reading