On the Richard and Raoul numbers

Year 2022, Volume: 11 Issue: 3, 256 - 264, 31.12.2022

Orhan Dışkaya , Hamza Menken

https://doi.org/10.54187/jnrs.1201184

Abstract

In this study, we define and examine the Richard and Raoul sequences and we deal with, in detail, two special cases, namely, Richard and Raoul sequences. We indicate that there are close relations between Richard and Raoul numbers and Padovan and Perrin numbers. Moreover, we present the Binet-like formulas, generating functions, summation formulas, and some identities for these sequences.

Keywords

Padovan numbers, Perrin numbers, Generating functions, Binet-like formula, Binomial sums

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