Working Paper Article Version 1 This version is not peer-reviewed

On Generalized Padovan Numbers

Version 1 : Received: 4 October 2021 / Approved: 6 October 2021 / Online: 6 October 2021 (10:35:34 CEST)

How to cite: Soykan, Y. On Generalized Padovan Numbers. Preprints 2021, 2021100101 Soykan, Y. On Generalized Padovan Numbers. Preprints 2021, 2021100101

Abstract

In this paper, we investigate the generalized Padovan sequences and we deal with, in detail, four special cases, namely, Padovan, Perrin, Padovan-Perrin and modified Padovan sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.

Keywords

Padavon numbers; Perrin numbers; Padovan-Perrin numbers

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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