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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 5 Issue: 3

On the Bi-Periodic Mersenne Sequence

Gül Özkan Kızılırmak(Science Faculty)0000-0003-3263-8685
Dursun Taşçı(GAZİ ÜNİVERSİTESİ, FEN FAKÜLTESİ, MATEMATİK BÖLÜMÜ)0000-0001-8357-4875
Pages
—
Publication Date
2022-09-23
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, by using Binet’s formula, some important identities and properties for the bi-periodic Mersenne sequence are presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the bi-periodic Mersenne sequence, which is a generalization of the Mersenne sequence, is defined.
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Key Findings & Data:The characteristic function, generating function and Binet’s formula for this sequence are obtained.
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Conclusion & Impact:Also, by using Binet’s formula, some important identities and properties for the bi-periodic Mersenne sequence are presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Binet formula · Catalan identity · Generating function

Abstract

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.

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Cite This Article

Kızılırmak, G. Ö., Taşçı, D. (2022). On the Bi-Periodic Mersenne Sequence. Fundamental Journal of Mathematics and Applications, Volume: 5 Issue: 3. https://doi.org/10.33401/fujma.1078410

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