Browsing Makale Koleksiyonu by Subject "generalized Fibonacci numbers; generalized Lucas numbers; congruences; Diophantine equation"

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GENERALIZED FIBONACCI AND LUCAS NUMBERS OF THE FORM wx(2) AND wx(2) 1

Keskin, Refik (KOREAN MATHEMATICAL SOC, 2014)

Let P >= 3 be an integer and let (U-n) and (V-n) denote generalized Fibonacci and Lucas sequences defined by U-0 = 0,U-1 = 1; V-0 = 2,V-1 = P, and Un+1 = PUn Un-1 Vn+1 = PVn - Vn-1 for n >= 1. In this study, when P is odd, ...