The Generalized Order-k Narayana’s Cows Numbers
Yazarlar (1)
Prof. Dr. Göksal BİLGİCİ Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Mathematica Slovaca | ||
| Dergi ISSN | 0139-9918 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2016 |
| Cilt / Sayı / Sayfa | 66 / 4 / 795–802 | DOI | 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 | ||
| 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 [N][[r]]=[N][[r]-1]+[N][[r]-3] with initial condition [N][0]=[N][1]=[N][2]= 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 5 |
| Scopus | 6 |
| Google Scholar | 23 |