Yağmur, Tülay2025-04-102025-04-10202403545180https://dx.doi.org/10.2298/FIL2420067Yhttps://hdl.handle.net/20.500.12451/13000A Ducci sequence is a sequence {S, DS, D2S, …}, where the map D: ℤn → ℤn takes each S = (s1, s2, s3, …, sn−1, sn) to (|s1 − s2 |, |s2 − s3 |, …, |sn−1 − sn |, |sn − s1 |). In this paper, we study norms of r-circulant matrices Circr (DL) and Circr (D2L), where L is an n-tuple of Lucas numbers. Then we examine some properties of circulant matrices Circ(DL) and Circ(D2L).eninfo:eu-repo/semantics/closedAccessDucci SequenceLucas NumberNormR-circulant MatrixArticle38207067707810.2298/FIL2420067Y2-s2.0-85209188198Q3001372763300001Q3