On the permanents of some tridiagonal matrices with applications to the Fibonacci and Lucas numbers

KILIÇ E., TAŞCI D.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.37, sa.6, ss.1953-1969, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 6
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1216/rmjm/1199649832
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1953-1969
  • Anahtar Kelimeler: permanent, Fibonacci number, generalized order-k Lucas sequence
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we derive some interesting relationships between the permanents of some tridiagonal matrices with applications to the negatively and positively subscripted usual Fibonacci and Lucas numbers. Also, we give a relation involving the generalized order-k Lucas number and permanent of a matrix.