| 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 |
| Atıf Sayıları | |
| WoS | 4 |
| SCOPUS | 5 |
| Google Scholar | 16 |
