Yuke Huang

activity

20142018

most citedGap Sequence of Factors of Fibonacci Sequence

20 citations · 32 across the 9 of their papers we have counts for

collaborators

Showing 2016Show all

6 papers · 1 filter

math.DS2016

The numbers of powers in the Tribonacci sequence

Yu-Ke Huang, Zhi-Ying Wen

The Tribonacci sequence $T$ is the fixed point of the substitution $σ (a) = ab$ , $σ (b) = a c$ , $σ (c) = a$ . The prefix of $T$ of length $n$ is denoted by $T [1, n]$ …

math.DS2016

The Square Trees in the Tribonacci Sequence

Yuke Huang, Zhiying Wen

The Tribonacci sequence $T$ is the fixed point of the substitution $σ (a, b, c) = (ab, a c, a)$ . In this note, we get the explicit expressions of all squares, and then establish t…

math.DS2016

The Numbers of Distinct Squares and Cubes in the Tribonacci Sequence

Yuke Huang, Zhiying Wen

The Tribonacci sequence $T$ is the fixed point of the substitution $σ (a, b, c) = (ab, a c, a)$ . In this note, we give the explicit expressions of the numbers of distinct squares…

math.DS2016★ 5 cited

The numbers of repeated palindromes in the Fibonacci and Tribonacci sequences

Huang Yuke, Wen Zhiying

The Fibonacci sequence $F$ is the fixed point beginning with $a$ of morphism $σ (a, b) = (ab, a)$ . Since $F$ is uniformly recurrent, each factor $ω$ appears infinite m…

math.DS2016★ 3 cited

The number of distinct and repeated squares and cubes in the Fibonacci sequence

Yuke Huang, Zhiying Wen

The Fibonacci sequence $F$ is the fixed point beginning with $a$ of morphism $σ (a, b) = (ab, a)$ . In this paper, we get the explicit expressions of all squares and cubes, then…

math.DS2016★ 1 cited

The structure of palindromes in the Fibonacci sequence and some applications

Yuke Huang, Zhiying Wen

Let $P$ be the set of palindromes occurring in the Fibonacci sequence. In this note, we establish three structures of $P$ and and discuss their properties: cylinde…