img
The Generalized Order-k Narayana’s Cows Numbers       
Yazarlar
Prof. Dr. Göksal BİLGİCİ
Kastamonu Üniversitesi, Türkiye
Özet
Narayana's cows problem is a problem similar to the Fibonacci's rabbit problem. We define the numbers which are the solutions of this problem as Narayana's cows numbers. Narayana's cows sequence satisfies the third order recurrence relation Nr = Nr-1+Nr-3 with initial condition N0 = N1 = N2 = 1. In this paper, we define a new recurrence which is called generalized order-k Narayana's cows sequence and by using this generalization and some matrix properties, we give some identities related to the Narayana's cows numbers.
Anahtar Kelimeler
Binet formula | generalized Narayana's cows number | generating function | matrix method
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı MATHEMATICA SLOVACA
Dergi ISSN 0139-9918
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 08-2016
Cilt No 66
Sayı 4
Sayfalar 795 / 802
Doi Numarası 10.1515/ms-2015-0181
Makale Linki http://www.degruyter.com/view/j/ms.2016.66.issue-4/ms-2015-0181/ms-2015-0181.xml
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 4
SCOPUS 5
Google Scholar 16
The Generalized Order-k Narayana’s Cows Numbers

Paylaş