PORTUGALIAE MATHEMATICA Vol. 55, No. 3, pp. 349-353 (1998) |
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Perfect Squares in the Sequence 3, 5, 7, 11, ...Wayne L. McDanielDepartment of Mathematics, University of Missouri-St. Louis,8001 Natural Bridge Rd., St. Louis, MO 63121 - USA Abstract: We prove that the only square terms in the sequence $\{u_{n}\}$, defined by $u_{0}=1$, $u_{1}=3$, $u_{n+2}=u_{n+1}+u_{n}-1$ are $u_{0}$ and $u_{12}=289$. Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1998 Sociedade Portuguesa de Matemática
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