On the generalized order-k Fibonacci and Lucas numbers

Kilic E., Tasci D.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.36, sa.6, ss.1915-1926, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 6
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1216/rmjm/1181069352
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1915-1926
  • Anahtar Kelimeler: generalized order-k Fibonacci and Lucas numbers, Binet formula, combinatorial representation, MATRIX-METHODS
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper we consider the generalized order-k Fibonacci and Lucas numbers. We give the generalized Binet formula, combinatorial representation and some relations involving the generalized order-k Fibonacci and Lucas numbers.