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Tri–Periodic Fibonacci Numbers and Tri–Periodic Leonardo Numbers

by Bahadır Yılmaz and Yüksel Soykan

Posted: July 15, 2025
Server: Preprints.org
DOI: 10.20944/preprints202507.0739.v2

In this study, we explore the properties of tri-periodic Fibonacci and tri-periodic Leonardo number sequences. Then we derive generating function of these sequences and give Binet's formula for the tri-periodic Fibonacci sequence. Furthermore, we present Cassani's identity associated with tri-periodic Fibonacci sequnce.

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