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Dergiler / Fundamental Journal of Mathematics and Applications / 2022 / Cilt: 5 Sayı: 3

On the Bi-Periodic Mersenne Sequence

Gül ÖZKAN KIZILIRMAK
Dursun TAŞÇI
Sayfa
160–167
Yayın Tarihi
2022-09-23
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, the bi-periodic Mersenne sequence, which is a generalization of the Mersenne sequence, is defined.
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Temel Bulgular & Veri:The characteristic function, generating function and Binet’s formula for this sequence are obtained.
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Sonuç & Katkı:Also, by using Binet’s formula, some important identities and properties for the bi-periodic Mersenne sequence are presented.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

KIZILIRMAK, G. Ö., TAŞÇI, D. (2022). On the Bi-Periodic Mersenne Sequence. Fundamental Journal of Mathematics and Applications, Cilt: 5 Sayı: 3, 160–167. https://ajindex.com/articles/905659

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Kaynakça (20)

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