Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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.


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.


Padavon numbers; Perrin numbers; Padovan-Perrin numbers


Computer Science and Mathematics, Algebra and Number Theory

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