A new method to compute the terms of generalized order k Fibonacci numbers       
Yazarlar (2)
Kenan Kaygısız
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Adem ŞAHİN Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Journal of Number Theory
Dergi ISSN 0022-314X Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 09-2013
Cilt No 133
Sayı 9
Sayfalar 3119 / 3126
DOI Numarası 10.1016/j.jnt.2013.03.007
Makale Linki http://linkinghub.elsevier.com/retrieve/pii/S0022314X13000991
Özet
In this paper, we give a new method to determine the terms of generalized order-. k Fibonacci numbers and Fibonacci type sequences by using the inverse of various Hessenberg and triangular matrices. In addition, instead of obtaining the n-th term only, we are able to determine successive (. n + 1) terms of these sequences with this method simultaneously. © 2013 Elsevier Inc.
Anahtar Kelimeler
Fibonacci numbers | k sequences of the generalized | order-k Fibonacci numbers | Hessenberg matrix