Search Results for: 11B39

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

On sum and ratio formulas for balancing-like sequences

Ravi Kumar Davala and G. K. Panda Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 22, 2016, Number 3, Pages 45—53 Download full paper: PDF, 359 Kb Details Authors and affiliations Ravi Kumar Davala … Continue reading

Combined 3-Fibonacci sequences from a new type

Krassimir Atanassov and Anthony G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 22, 2016, Number 3, Pages 5—8 Download full paper: PDF, 159 Kb Details Authors and affiliations Krassimir Atanassov Department of … Continue reading

A note on a family of alternating Fibonacci sums

Robert Frontczak Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 22, 2016, Number 2, Pages 64—71 Download full paper: PDF, 167 Kb Details Authors and affiliations Robert Frontczak Landesbank Baden-Wuerttemberg Am Hauptbahnhof 2, 70173 … Continue reading