ON BI-PERIODIC FIBONACCI AND LUCAS NUMBERS BY MATRIX METHOD

TAN E.

ARS COMBINATORIA, cilt.133, ss.107-113, 2017 (SCI-Expanded) identifier

  • 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.