SOME COMBINATORIAL ASPECTS OF BI-PERIODIC INCOMPLETE HORADAM SEQUENCES

Abstract

We have recently introduced the bi-periodic incomplete Horadam numbers as a generalization of incomplete Horadam numbers, and studied their properties. In this paper, we provide some combinatorial interpretations of bi-periodic incomplete Horadam numbers by using the weighted tilings approach. We also define bi-periodic hyper Horadam numbers and show that each bi-periodic hyper Horadam number can be written as the difference of a bi-periodic Horadam number and a bi-periodic incomplete Horadam number.