ON BI-PERIODIC FIBONACCI AND LUCAS NUMBERS BY MATRIX METHOD
ARS COMBINATORIA, cilt.133, ss.107-113, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 133
- Basım Tarihi: 2017
- Dergi Adı: ARS COMBINATORIA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.107-113
- Anahtar Kelimeler: Fibonacci sequence, bi-periodic sequence, matrix method, IDENTITIES
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, we define a new matrix identity for bi-periodic Fibonacci and Lucas numbers. By using the matrix method, we give simple proofs of several properties of these numbers. Moreover, we obtain a new binomial sum formula for bi-periodic Fibonacci and Lucas numbers which generalize the former results.