De Moivre-Type Identities for the Padovan Numbers

Year 2021, Volume: 6 Issue: 3, 155 - 160, 31.12.2021

Mücahit Akbıyık , Seda Yamaç Akbıyık , Jeta Alo

https://doi.org/10.30931/jetas.994841

https://izlik.org/JA47BT46CL

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.

Keywords

De Moivre-type identity , Padovan numbers , Perrin numbers , quadratic approximation

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