A SHORT NOTE ON FIBONACCI NUMBERS IN A GENERALIZED PYTHAGOREAN TRIPLES
How to cite (IEEE):
E. L. Casinillo, and L. F. Casinillo,
"A SHORT NOTE ON FIBONACCI NUMBERS IN A GENERALIZED PYTHAGOREAN TRIPLES,"
Journal of Fundamental Mathematics and Applications (JFMA), vol. 4, no. 1, pp. 90-95,
Jul. 2021. https://doi.org/10.14710/jfma.v4i1.10583
Abstract
This paper aims to construct a new formula that generates a Fibonacci numbers in a generalized Pythagorean triples. In addition, the paper formulates some Fibonacci identities and discuss some important findings.
Keywords: Fibonacci numbers, Pythagorean triples, Fibonacci identities
Article Metrics:
Article Info
- Askey, R. A. (2004). Delving Deeper: Fibonacci and Related Sequences. The Mathematics Teacher, 97(2), 116-119
- Benjamin, A. T. & Quinn, J. J. (1999). Recounting Fibonacci and Lucas identities. The College Mathematics Journal, 30(5), 359-366
- Casinillo, L. F. (2018). A note on Fibonacci and Lucas number of domination in path. Electronic Journal of Graph Theory and Applications, 6(2), 317–325
- Casinillo, L. F. (2020). Odd and even repetition sequences of independent domination number. Notes on Number Theory and Discrete Mathematics, 26(1), 8-20
- Casinillo, L. F., & Casinillo, E. L. (2020). Some notes on a generalized version of Pythagorean triples. Jurnal Riset dan Aplikasi Matematika (JRAM), 4(2), 103-107
- D’Amico, A., Faccio, M. and Ferri, G. (1990). Ladder network characterization and Fibonacci numbers. Nuovo Cimento D, 12(1), 1165-1173
- Erickson, M. and Vazzana, A. (2008). Introduction to Number Theory. Taylor and Francis Group, New York, USA
- Hammes, E. (2019). Unifications of Pythagorean Triple Schema. Undergraduate Honors Theses. Paper 502. https://dc.etsu.edu/ honors/502
- Horadam, A. F. (1961). Fibonacci number triples. The American Mathematical Monthly, 68(8), 751-753
- Leyendekkers, J. V., & Shannon, A. G. (2017). Primitive Pythagorean triples and generalized Fibonacci sequences. Notes on Number Theory and Discrete Mathematics, 23(1), 54-62
- Prodinger, H., & Tichy, R. (1982). Fibonacci numbers of graphs. The Fibonacci Quarterly, 20(1), 16-21
- Rabinowitz, S. (1996). Algorithmic manipulation of Fibonacci identities. In Applications of Fibonacci numbers (pp. 389-408). Springer, Dordrecht
- Startek, M., Włoch, A., & Włoch, I. (2009). Fibonacci numbers and Lucas numbers in graphs. Discrete applied mathematics, 157(4), 864-868
- Tracy, C. A. (1988). Universality class of a Fibonacci Ising model, Journal of Statistical Physics, 51(3-4), 481-490
Last update:
No citation recorded.
Last update:
No citation recorded.
Authors who publish articles in this journal agree to the following terms:
- Authors grant the journal the right of first publication that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
For more detailed information about the copyright transfer, please refer to this page: COPYRIGHT TRANSFER FORM
Undip Electronic Journal System (UEJS) - Copyright ©2025 Universitas Diponegoro. Powered by Public Knowledge Project OJS and Mason Publishing OJS theme.