Turkish Journal of Mathematics and Computer Science

Yazarlar: Adem ŞAHİN, Sadettin KARAGÖL

Konular:Matematik

DOI:10.47000/tjmcs.783597

Anahtar Kelimeler:Lucas sequence,Divisibility,Recurrence relation

Özet: The Lucas number sequence is a popular number sequence that has been described as similar to the Fibonacci number sequence. A lot of research has been done on this number sequence. Some of these studies are on the divisibility properties of this number sequence. Carlitz (1964) examined the requirement that a given Lucas number can be divided by another Lucas number. After that, many studies have been done on this subject. In the present article, we obtain some divisibility properties of the Lucas Numbers. First, we examine the case $L_{(2n-1)m}/L_{m}$ and then we obtain $L_{\left( 2n-1\right) m}$ using different forms of Lucas numbers.

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