De Moivre-Type Identities for the Padovan Numbers

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Copy For Citation

AKBIYIK M., AKBIYIK S., ALO J.

Journal of Engineering Technology and Applied Sciences, vol.6, no.3, pp.155-160, 2021 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 6 Issue: 3
• Publication Date: 2021
• Doi Number: 10.30931/jetas.837921
• Journal Name: Journal of Engineering Technology and Applied Sciences
• Journal Indexes: TR DİZİN (ULAKBİM)
• Page Numbers: pp.155-160
• Istanbul Gelisim University Affiliated: Yes

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.