AKCE International Journal of Graphs and Combinatorics (Jan 2020)

Some identities for generalized Fibonacci and Lucas numbers

  • Anetta Szynal-Liana,
  • Iwona Włoch,
  • Mirosław Liana

DOI
https://doi.org/10.1016/j.akcej.2019.06.007
Journal volume & issue
Vol. 17, no. 1
pp. 324 – 328

Abstract

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In this paper we study one parameter generalization of the Fibonacci numbers, Lucas numbers which generalizes the Jacobsthal numbers, Jacobsthal–Lucas numbers simultaneously. We present some their properties and interpretations also in graphs. Presented results generalize well-known results for Fibonacci numbers, Lucas numbers, Jacobsthal numbers and Jacobsthal–Lucas numbers.

Keywords