Rigoberto Flórez

Learn More
The generalized Hosoya triangle is an arrangement of numbers in which each entry is a product of two generalized Fibonacci numbers. We prove the GCD property for 1 the star of David of length two. We give necessary and sufficient conditions such that the star of David of length three satisfies the GCD property. We propose some open questions and a(More)
We construct a formal power series on several variables that encodes many statistics on non-decreasing Dyck paths. In particular, we use this formal power series to count peaks, pyramid weights, and indexed sums of pyramid weights for all non-decreasing Dyck paths of length 2n. We also show that an indexed sum on pyramid weights depends only on the size and(More)
The generalized Hosoya triangle is an arrangement of numbers where each entry is a product of two generalized Fibonacci numbers. We define a discrete convolution 1 C based on the entries of the generalized Hosoya triangle. We use C and generating functions to prove that the sum of every k-th entry in the n-th row or diagonal of generalized Hosoya triangle,(More)
  • 1