Let P ≥ 3 be an integer and let (Un) denote generalized Fibonacci sequence defined by U0 = 0,U<sub>1</sub> = 1 and U<sub>n+1</sub> = PUn - U<sub>n-1</sub> for n ≥ 1, In this study, when P is odd, we solve the eq...
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https://www.riss.kr/link?id=A105276288
2018
Korean
KCI등재,ESCI
학술저널
139-153(15쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
Let P ≥ 3 be an integer and let (Un) denote generalized Fibonacci sequence defined by U0 = 0,U<sub>1</sub> = 1 and U<sub>n+1</sub> = PUn - U<sub>n-1</sub> for n ≥ 1, In this study, when P is odd, we solve the eq...
Let P ≥ 3 be an integer and let (Un) denote generalized Fibonacci sequence defined by U0 = 0,U<sub>1</sub> = 1 and U<sub>n+1</sub> = PUn - U<sub>n-1</sub> for n ≥ 1, In this study, when P is odd, we solve the equation Un = 11x<sup>2</sup> + 1. We show that only U<sub>1</sub> and U<sub>2</sub> may be of the form 11x<sup>2</sup> + 1.
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