On the distance between generalized Fibonacci numbers

• Autorzy: Jhon J. Bravo , Carlos A. Gómez , Florian Luca
• Języki publikacji: EN

Abstrakty

EN

For an integer k ≥ 2, let $(Fₙ^{(k)})ₙ$ be the k-Fibonacci sequence which starts with 0,..., 0,1 (k terms) and each term afterwards is the sum of the k preceding terms. This paper completes a previous work of Marques (2014) which investigated the spacing between terms of distinct k-Fibonacci sequences.

Kategorie tematyczne

• 11B39: Fibonacci and Lucas numbers and polynomials and generalizations
• 11J86: Linear forms in logarithms; Baker's method

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 140
• Numer: 1
• Strony: 107-118

Daty

wydano

2015

Twórcy

autor

Jhon J. Bravo

• Departamento de Matemáticas, Universidad del Cauca, Calle 5 No. 4-70, Popayán, Colombia

autor

Carlos A. Gómez

• Departamento de Matemáticas, Universidad del Valle, Calle 13 No. 100-00, Cali, Colombia

autor

Florian Luca

• School of Mathematics, University of the Witwatersrand, P.O. Box Wits 2050, Johannesburg, South Africa

Identyfikatory

DOI

10.4064/cm140-1-9