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Squares in Euler triples from Fibonacci and Lucas numbers

dc.creatorCerin, Zvonko
dc.date2013-06-01
dc.date.accessioned2019-04-17T15:45:17Z
dc.date.available2019-04-17T15:45:17Z
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1312
dc.identifier.urihttp://revistaschilenas.uchile.cl/handle/2250/45015
dc.descriptionIn this paper we shall continue to study from [4], for k = −1 and k = 5, the infinite sequences of triples A = (F2n+1, F2n+3, F2n+5), B = (F2n+1, 5F2n+3, F2n+5), C = (L2n+1, L2n+3, L2n+5), D = (L2n+1, 5L2n+3, L2n+5) with the property that the product of any two different components of them increased by k are squares. The sequences A and B are built from the Fibonacci numbers Fn while the sequences C and D from the Lucas numbers Ln. We show some interesting properties of these sequences that give various methods how to get squares from them.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1312/1167
dc.sourceCUBO, A Mathematical Journal; Vol. 15 Núm. 2 (2013): CUBO, A Mathematical Journal; 79–88es-ES
dc.sourceCUBO, A Mathematical Journal; Vol 15 No 2 (2013): CUBO, A Mathematical Journal; 79–88en-US
dc.source0719-0646
dc.source0716-7776
dc.titleSquares in Euler triples from Fibonacci and Lucas numbersen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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