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On the period of the continued fraction expansion of √2 + 1 |
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| Authors: | Yann Bugeaud |
| Institution: | a Université Louis Pasteur, UFR de mathématiques, 7 rue René Descartes, 67084 Strasbourg, France b Instituto de Matemáticas, Universidad Nacional Autónoma de México, CP. 58180, Morelia, Michoacán, Mexico |
| Abstract: | We prove a general result which implies that the period of the continued fraction expansion of√22n+1 + 1 tends to infinity when n tends to infinity. |
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