skip to main content

A SHORT NOTE ON FIBONACCI NUMBERS IN A GENERALIZED PYTHAGOREAN TRIPLES

*Emily L Casinillo  -  Visayas State University, Philippines
Leomarich F Casinillo  -  Visayas State University, Philippines

Citation Format:
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.

Fulltext View|Download
Keywords: Fibonacci numbers, Pythagorean triples, Fibonacci identities

Article Metrics:

  1. Askey, R. A. (2004). Delving Deeper: Fibonacci and Related Sequences. The Mathematics Teacher, 97(2), 116-119
  2. Benjamin, A. T. & Quinn, J. J. (1999). Recounting Fibonacci and Lucas identities. The College Mathematics Journal, 30(5), 359-366
  3. 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
  4. Casinillo, L. F. (2020). Odd and even repetition sequences of independent domination number. Notes on Number Theory and Discrete Mathematics, 26(1), 8-20
  5. 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
  6. D’Amico, A., Faccio, M. and Ferri, G. (1990). Ladder network characterization and Fibonacci numbers. Nuovo Cimento D, 12(1), 1165-1173
  7. Erickson, M. and Vazzana, A. (2008). Introduction to Number Theory. Taylor and Francis Group, New York, USA
  8. Hammes, E. (2019). Unifications of Pythagorean Triple Schema. Undergraduate Honors Theses. Paper 502. https://dc.etsu.edu/ honors/502
  9. Horadam, A. F. (1961). Fibonacci number triples. The American Mathematical Monthly, 68(8), 751-753
  10. 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
  11. Prodinger, H., & Tichy, R. (1982). Fibonacci numbers of graphs. The Fibonacci Quarterly, 20(1), 16-21
  12. Rabinowitz, S. (1996). Algorithmic manipulation of Fibonacci identities. In Applications of Fibonacci numbers (pp. 389-408). Springer, Dordrecht
  13. Startek, M., Włoch, A., & Włoch, I. (2009). Fibonacci numbers and Lucas numbers in graphs. Discrete applied mathematics, 157(4), 864-868
  14. 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.