On the Bi-Periodic Mersenne Sequence

Yıl 2022, Cilt: 5 Sayı: 3, 160 - 167, 23.09.2022

Gül Özkan Kızılırmak Dursun Taşçı

https://doi.org/10.33401/fujma.1078410

Öz

In this paper, the bi-periodic Mersenne sequence, which is a generalization of the Mersenne sequence, is defined. The characteristic function, generating function and Binet’s formula for this sequence are obtained. Also, by using Binet’s formula, some important identities and properties for the bi-periodic Mersenne sequence are presented.

Anahtar Kelimeler

Binet formula, Catalan identity, Generating function, Mersenne numbers

Kaynakça

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