COMBINATORIAL INSIGHTS INTO LEONARDO p-NUMBERS AND LUCAS-LEONARDO p-NUMBERS


Belkhir A., TAN E.

Integers, cilt.25, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25
  • Basım Tarihi: 2025
  • Doi Numarası: 10.5281/zenodo.15756004
  • Dergi Adı: Integers
  • Derginin Tarandığı İndeksler: Scopus
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we present a combinatorial interpretation of Leonardo p-numbers in terms of colored linear tilings and provide combinatorial proofs for several identities involving them. We further explore the incomplete and hyper Leonardo p-numbers, presenting their combinatorial interpretations. Additionally, we present a combinatorial interpretation of the Lucas-Leonardo p-numbers, closely related to Leonardo p-numbers, in terms of colored circular tilings and investigate their combinatorial properties. Finally, we introduce hyper Lucas-Leonardo p-numbers and establish connections with their incomplete counterparts.