Abstract. We study higher-dimensional interlacing Fibonacci sequences, generated via both Chebyshev type functions and m-dimensional recurrence relations. For each integer m, there exist both rational ...

In this paper, we derive some new symmetric properties of 𝑘-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special ...

Fibonacci cubes represent a fascinating class of graphs that emerge as subgraphs of the n-dimensional hypercube. Defined by the restriction to binary strings that avoid consecutive 1s, these graphs ...