De Moivre-Type Identities for the Padovan Numbers
Journal of Engineering Technology and Applied Sciences, vol.6, no.3, pp.155-160, 2021 (TRDizin)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.