@article{article_994841, title={De Moivre-Type Identities for the Padovan Numbers}, journal={Journal of Engineering Technology and Applied Sciences}, volume={6}, pages={155–160}, year={2021}, DOI={10.30931/jetas.994841}, url={https://izlik.org/JA47BT46CL}, author={Akbıyık, Mücahit and Yamaç Akbıyık, Seda and Alo, Jeta}, keywords={De Moivre-type identity, Padovan numbers, Perrin numbers, quadratic approximation}, 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.}, number={3}