On Combinatorial Interpretations of Bi-Periodic Fibonacci <i>p</i>-Numbers
FIBONACCI QUARTERLY, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1080/00150517.2026.2676047
- Dergi Adı: FIBONACCI QUARTERLY
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Ankara Üniversitesi Adresli: Evet
Özet
Using a weighted tilings approach, this paper provides combinatorial insights into the bi-periodic Fibonacci p-numbers, along with the entries of their associated triangles. We also present a combinatorial interpretation of bi-periodic incomplete Fibonacci p-numbers, establishing several identities involving these sequences. Furthermore, we introduce bi-periodic hyper Fibonacci p-numbers, derive their combinatorial interpretation, and explore several properties, including their relationships with bi-periodic incomplete Fibonacci p-numbers, supported by combinatorial proofs.