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Mersenne, Jacobsthal and Jacobsthal-Lucas numbers with negative subscripts     
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 1-2019
Cilt No 88
Sayı 1
Sayfalar 145 / 156
Atıf Sayıları
WoS 3
SCOPUS 3

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