Mersenne, Jacobsthal and Jacobsthal-Lucas numbers with negative subscripts
Yazarlar (1)
Doç. Dr. Ahmet DAŞDEMİR Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Acta Mathematica Universitatis Comenianae | ||
| Dergi ISSN | 0862-9544 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | Scopus | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2019 |
| Cilt / Sayı / Sayfa | 88 / 1 / 145–156 | DOI | – |
| Özet |
| In this paper, we present the usual Mersenne, Jacobsthal and Jacobsthal-Lucas numbers with negative subscripts. Furthermore, we get many identities ofthese sequences such as Gelin-Cesaro identity and d'Ocagne's identity and certainformulas for computing the sums of their terms. In addition, we give the generatingmatrices of these sequences. We also that their sums can be obtained by employingmatrix technique. |
| Anahtar Kelimeler |
| Catalan’s identity | Jacobsthal number | Matrix method | Mersenne number | Negative subscript | Sum |