GENERALIZED LUCAS NUMBERS OF THE FORM 5kx(2) AND 7kx(2)

Karaatlı, Olcay; Keskin, Refik

dc.contributor.authors	Karaatli, O; Keskin, R;
dc.date.accessioned	2020-01-17T08:21:39Z
dc.date.available	2020-01-17T08:21:39Z
dc.date.issued	2015
dc.identifier.citation	Karaatli, O; Keskin, R; (2015). GENERALIZED LUCAS NUMBERS OF THE FORM 5kx(2) AND 7kx(2). BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 52, 1480-1467
dc.identifier.issn	1015-8634
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6036
dc.identifier.uri	https://doi.org/10.4134/BKMS.2015.52.5.1467
dc.description.abstract	Generalized Fibonacci and Lucas sequences (U-n) and (V-n) are defined by the recurrence relations Un+1 = PUn +QU(n-1) and Vn+1 = PVn + QV(n-1), n >= 1, with initial conditions U-0 = 0, U-1 = 1 and V-0 = 2, V-1 = P. This paper deals with Fibonacci and Lucas numbers of the form U-n (P, Q) and V-n (P, Q) with the special consideration that P >= 3 is odd and Q = -1. Under these consideration, we solve the equations V-n = 5kx(2), V-n = 7kx(2), V-n = 5kx(2)+/- 1, and V-n = 7kx(2)+/- 1 when k vertical bar P with k > 1. Moreover, we solve the equations V-n = 5x(2)+/- 1 and V-n = 7x(2 +/-)1.
dc.language	English
dc.publisher	KOREAN MATHEMATICAL SOC
dc.subject	Mathematics
dc.title	GENERALIZED LUCAS NUMBERS OF THE FORM 5kx(2) AND 7kx(2)
dc.type	Article
dc.identifier.volume	52
dc.identifier.startpage	1467
dc.identifier.endpage	1480
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Karaatlı, Olcay
dc.contributor.saüauthor	Keskin, Refik
dc.relation.journal	BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
dc.identifier.wos	WOS:000363840500005
dc.identifier.doi	10.4134/BKMS.2015.52.5.1467
dc.contributor.author	Karaatlı, Olcay
dc.contributor.author	Keskin, Refik