De Moivre-Type Identities for the Padovan Numbers

Authors : Mücahit AKBIYIK, Seda YAMAÇ AKBIYIK, Jeta ALO

Pages : 155-160

Doi:10.30931/jetas.994841

View : 15 | Download : 13

Publication Date : 2021-12-31

Article Type : Research Paper

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