A Study on Generalized Blaise Numbers

Soykan, Yüksel (2023) A Study on Generalized Blaise Numbers. Asian Journal of Advanced Research and Reports, 17 (1). pp. 32-53. ISSN 2582-3248

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Abstract

In this paper, we introduce and investigate the generalized Blaise sequences and we deal with, in detail, two special cases, namely, Blaise and Blaise-Lucas sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Furthermore, we show that there are close relations between Blaise, Blaise-Lucas and Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan, modified Jacobsthal-Padovan numbers. Moreover, we give some identities and matrices related with these sequences.

Item Type: Article
Subjects: EP Archives > Multidisciplinary
Depositing User: Managing Editor
Date Deposited: 23 Jan 2023 07:00
Last Modified: 07 Feb 2024 04:32
URI: http://research.send4journal.com/id/eprint/1738

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