Generalizations of Fibonacci and Lucas sequences

dc.contributor.author	Özgür, Nihal Yılmaz
dc.date.accessioned	2019-11-18T06:40:03Z
dc.date.available	2019-11-18T06:40:03Z
dc.date.issued	2002	en_US
dc.department	Fakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü	en_US
dc.description.abstract	In this paper, we consider the Hecke groups H(√q), q ≥ 5 prime number, and we find an interesting number sequence which is denoted by dn. For q = 5, we get d2n = L2n+1 and d2n+1 = √5F2n+2 where L2n+1 is (2n + 1)th Lucas number and F2n+2 is (2n + 2)th Fibonacci number. From this sequence, we obtain two new sequences which are, in a sense, generalizations of Fibonacci and Lucas sequences.	en_US
dc.identifier.endpage	125	en_US
dc.identifier.issn	1123-2536
dc.identifier.issue	1	en_US
dc.identifier.scopus	2-s2.0-2942676245
dc.identifier.scopusquality	Q4
dc.identifier.startpage	113	en_US
dc.identifier.uri	https://hdl.handle.net/20.500.12462/9806
dc.identifier.volume	21	en_US
dc.indekslendigikaynak	TR-Dizin
dc.language.iso	en	en_US
dc.relation.ispartof	Note di Matematica	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.subject	Fibonacci Numbers	en_US
dc.subject	Hecke Groups	en_US
dc.subject	Lucas Numbers	en_US
dc.title	Generalizations of Fibonacci and Lucas sequences	en_US
dc.type	Article	en_US

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