THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCE WITH PARAMETERS P AND Q

Zafer Siar; Keskin, Refik

dc.contributor.authors	Siar, Z; Keskin, R;
dc.date.accessioned	2020-01-17T08:21:40Z
dc.date.available	2020-01-17T08:21:40Z
dc.date.issued	2016
dc.identifier.citation	Siar, Z; Keskin, R; (2016). THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCE WITH PARAMETERS P AND Q. MATHEMATICA SCANDINAVICA, 118, 26-13
dc.identifier.issn	0025-5521
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6060
dc.description.abstract	Let P and Q be nonzero integers. Generalized Lucas sequence is defined as follows: V-0 = 2, V-1 = P and Vn+1 = PVn QV(n-1) for n >= 1. We assume that P and Q are odd relatively prime integers. Firstly, we determine all indices n such that V-n = kx(2) and V-n = 2kx(2) when k vertical bar P. Then, as an application of our these results, we find all solutions of the equations V-n = 3x(2) and V-n = 6x(2). Moreover, we find integer solutions of some Diophantine equations.
dc.language	English
dc.publisher	MATEMATISK INST
dc.subject	Mathematics
dc.title	THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCE WITH PARAMETERS P AND Q
dc.type	Article
dc.identifier.volume	118
dc.identifier.startpage	13
dc.identifier.endpage	26
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Keskin, Refik
dc.relation.journal	MATHEMATICA SCANDINAVICA
dc.identifier.wos	WOS:000375734200002
dc.identifier.eissn	1903-1807
dc.contributor.author	Zafer Siar
dc.contributor.author	Keskin, Refik