On the Generalized Francois Numbers

Year 2024, Volume: 16 Issue: 2, 346 - 353, 31.12.2024

Yasemin Alp

https://doi.org/10.47000/tjmcs.1464650

Abstract

This study introduces the generalized Francois numbers and investigates their some properties. In addition, we give the basic formulas such as Binet's formula, sums formulas. Also, we provide some identities among the Fibonacci sequence, the Lucas sequence, and the generalized Francois sequence.

Keywords

Binet’s formula, Fibonacci numbers, Francois numbers, Lucas numbers, Leonardo numbers.

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