On the Parity of the Order of Appearance in the Fibonacci Sequence

dc.contributor.author	Trojovský, Pavel
dc.date.accessioned	2025-12-05T10:23:08Z
dc.date.available	2025-12-05T10:23:08Z
dc.date.issued	2021
dc.description.abstract	Let (F-n)(n >= 0) be the Fibonacci sequence. The order of appearance function (in the Fibonacci sequence) z : Z(>= 1)-> Z(>= 1) is defined as z(n) := min{k >= 1 : F-k equivalent to 0 (mod n)}. In this paper, among other things, we prove that z(n) is an even number for almost all positive integers n (i.e., the set of such n has natural density equal to 1).	eng
dc.format	p. "Article Number:1928"
dc.identifier.doi	10.3390/math9161928
dc.identifier.issn	2227-7390
dc.identifier.obd	43877890
dc.identifier.scopus	2-s2.0-85112757255
dc.identifier.uri	http://hdl.handle.net/20.500.12603/1285
dc.identifier.wos	000689428200001
dc.language.iso	eng
dc.peerreviewed	yes
dc.publicationstatus	postprint
dc.publisher	MDPI-Molecular diversity preservation international
dc.relation.ispartof	Mathematics, volume 9, issue: 16	eng
dc.relation.publisherversion	https://www.mdpi.com/2227-7390/9/16/1928
dc.rights.access	Open Access
dc.rights.license	CC BY
dc.source.url	https://www.mdpi.com/2227-7390/9/16/1928
dc.subject	order of appearance	eng
dc.subject	Fibonacci numbers	eng
dc.subject	parity	eng
dc.subject	natural density	eng
dc.subject	prime numbers	eng
dc.title	On the Parity of the Order of Appearance in the Fibonacci Sequence	eng
dc.type	article

Soubory

Nyní se zobrazuje 1 - 1 z 1