ON TERMS OF THE SEQUENCE {un}

dc.contributor.author	Kilic, Nayil
dc.date.accessioned	2025-03-23T19:47:33Z
dc.date.available	2025-03-23T19:47:33Z
dc.date.issued	2019
dc.department	Sinop Üniversitesi
dc.description.abstract	In this paper, we consider the generalized Fibonacci sequence {u(n)}. We derive a generating matrix for both the sums of squares of the form Sigma(n)(k=0) q(n-k)u(k)(2) (q not equal 0) and the products of the form qu(n)u(n+2) (q not equal 0). Also, we give a matrix method to generate the sums of product of two consecutive terms u(n)n(n+1), as well as the product qu(n)u(n+2) (q not equal 0). Furthermore we obtain generating functions and combinatorial representations of u(n)u(n+1) and u(n-1)u(n+1).
dc.identifier.endpage	254
dc.identifier.issn	0381-7032
dc.identifier.scopusquality	Q4
dc.identifier.startpage	243
dc.identifier.uri	https://hdl.handle.net/11486/7370
dc.identifier.volume	146
dc.identifier.wos	WOS:000478701200019
dc.identifier.wosquality	N/A
dc.indekslendigikaynak	Web of Science
dc.institutionauthor	Kilic, Nayil
dc.language.iso	en
dc.publisher	Charles Babbage Res Ctr
dc.relation.ispartof	Ars Combinatoria
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/closedAccess
dc.snmz	KA_WOS_20250323
dc.subject	matrix methods
dc.subject	generating function
dc.subject	Fibonacci numbers
dc.title	ON TERMS OF THE SEQUENCE {un}
dc.type	Article

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