On the Generalized Francois Numbers

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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