On the Richard and Raoul numbers

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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