AbstractIn this note we consider two sequences of polynomials, which are denoted by { U n,m (k) } and { V n,m (k) } , where 𝑘, 𝑚, 𝑛 are nonnegative integers, and 𝑚 ≥ 2. These sequences represent ...

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 ...

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 ...