Browsing Makale Koleksiyonu by Author "Öğüt, Ümmügülsüm"

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Generalized Fibonacci numbers of the form

Keskin, Refik; Öğüt, Ümmügülsüm (SPRINGER, 2016)

Let be an integer and let and denote generalized Fibonacci and Lucas sequences defined by ; and , for In this study, when P is odd, we solve the equation for After then, we solve some Diophantine equations utilizing solutions ...
GENERALIZED FIBONACCI NUMBERS OF THE FORM 11x(2)

Öğüt, Ümmügülsüm; Keskin, Refik (HONAM MATHEMATICAL SOC, 2018)

Let P >= 3 be an integer and let (U-n) denote generalized Fibonacci sequence defined by U-0 = 0, U-1 = 1 and Un+1 = PUn - Un-1 for n >= 1. In this study, when P is odd, we solve the equation U-n = 11x(2) + 1. We show that ...