Yazarlar |
Doç. Dr. Ahmet DAŞDEMİR
Kastamonu Üniversitesi, Türkiye |
Özet |
In this paper, we extend the usual Mersenne, Jacobsthal, and Jacobsthal-Lucas numbers to their terms with negative subscripts. Many identities for new forms of these numbers, including Gelin-Cesáro identity, d’Ocagne’s identity, and some sum formulas are presented. Furthermore, we give certain generating matrices and show how the sums of the presented number sequences can be computed by employing matrix technique. |
Anahtar Kelimeler |
Catalan’s identity | Jacobsthal number | Matrix method | Mersenne number | Negative subscript | Sum |
Makale Türü | Özgün Makale |
Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
Dergi Adı | ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |
Dergi ISSN | 0231-6986 |
Dergi Tarandığı Indeksler | Scopus |
Makale Dili | İngilizce |
Basım Tarihi | 01-2019 |
Cilt No | 88 |
Sayı | 1 |
Sayfalar | 145 / 156 |