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Journals / Journal of Engineering Technology and Applied Sciences / 2021 / Cilt: 6 - Sayı: 3

De Moivre-Type Identities for the Padovan Numbers

Seda YAMAÇ AKBIYIK
Mücahit AKBIYIK
Jeta ALO
Pages
155–160
Publication Date
2022-10-19
DOI
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AI Summary & Key Takeaways

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

Furthermore, we give quadratic approximations for these sequences.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:At this work, we give a method for constructing the Perrin and Padovan sequences and obtain the De Moivre-type identity for Padovan numbers.
📊
Key Findings & Data:Also, we define a Padovan sequence with new initial conditions and find some identities between all of these auxiliary sequences.
💡
Conclusion & Impact:Furthermore, we give quadratic approximations for these sequences.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:De Moivre-type identity · Padovan numbers · Perrin numbers

Abstract

At this work, we give a method for constructing the Perrin and Padovan sequences and obtain the De Moivre-type identity for Padovan numbers. Also, we define a Padovan sequence with new initial conditions and find some identities between all of these auxiliary sequences. Furthermore, we give quadratic approximations for these sequences.

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Cite This Article

AKBIYIK, S. Y., AKBIYIK, M., ALO, J. (2022). De Moivre-Type Identities for the Padovan Numbers. Journal of Engineering Technology and Applied Sciences, Cilt: 6 - Sayı: 3, 155–160. https://ajindex.com/articles/562811

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References (11)

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