Original scientific paper

https://doi.org/10.3336/gm.50.1.02

Tribonacci Diophantine quadruples

Carlos Alexis Gómez Ruiz orcid.org/0000-0003-1126-2973 ; Departamento de Matemáticas, Universidad del Valle, 25360 Cali, Calle 13 No 100-00, Colombia
Florian Luca orcid.org/0000-0003-1321-4422 ; School of Mathematics, University of the Witwatersrand, P. O. Box Wits, South Africa

Abstract

In this paper, we show that there does not exist a quadruple of positive integers a1 < a2 < a3 < a4 such that aiaj + 1 (i≠ j) are all members of the Tribonacci sequence (Tn)n≥ 0.

Keywords

Quadruples Diophantine; Tribonacci numbers

Hrčak ID:

140079

URI

https://hrcak.srce.hr/140079

Publication date:

15.6.2015.

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