COMBINATORIAL INSIGHTS INTO LEONARDO p-NUMBERS AND LUCAS-LEONARDO p-NUMBERS
Integers, cilt.25, 2025 (Scopus)
- 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.