Symmetry (Feb 2021)

(2, <i>k</i>)-Distance Fibonacci Polynomials

  • Dorota Bród,
  • Andrzej Włoch

DOI
https://doi.org/10.3390/sym13020303
Journal volume & issue
Vol. 13, no. 2
p. 303

Abstract

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In this paper we introduce and study (2,k)-distance Fibonacci polynomials which are natural extensions of (2,k)-Fibonacci numbers. We give some properties of these polynomials—among others, a graph interpretation and matrix generators. Moreover, we present some connections of (2,k)-distance Fibonacci polynomials with Pascal’s triangle.

Keywords