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Öğe De Moivre-Type Identities For The Padovan Numbers(Muhammet Kurulay, 2021) Akbıyık, Mücahit; Yamaç Akbıyık, Seda; Alo, JetaAt 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.