Article
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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. https://doi.org/10.20944/preprints202110.0101.v1 Soykan, Y. On Generalized Padovan Numbers. Preprints 2021, 2021100101. https://doi.org/10.20944/preprints202110.0101.v1
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
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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