ON THE DISTANCE BETWEEN GENERALIZED FIBONACCI NUMBERS

被引：4

作者：

Bravo, Jhon J. ^{[1
]}

Gomez, Carlos A. ^{[2
]}

Luca, Florian ^{[3
]}

机构：

[1] Univ Cauca, Dept Matemat, Popayan, Colombia

[2] Univ Valle, Dept Matemat, Cali, Colombia

[3] Univ Witwatersrand, ZA-2050 Johannesburg, South Africa

来源：

COLLOQUIUM MATHEMATICUM | 2015年 / 140卷 / 01期

关键词：

generalized Fibonacci numbers; linear forms in logarithms; Sidon sets; CONJECTURE;

D O I：

10.4064/cm140-1-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an integer k >= 2, let (F-n((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.

引用

页码：107 / 118

页数：12

共 11 条

[1] On a conjecture about repdigits in k-generalized Fibonacci sequences [J].