论文标题
关于无界Collatz序列的行为
On the Behavior of Unbounded Collatz Sequences
论文作者
论文摘要
本文的目的是显示（假设的）Collatz序列的特殊行为。我们研究相关的锡拉库萨序列（前者的奇数元素），并表明方便归一化序列的极限集是整个单位间隔。特别是，对于任何正整数都有一个子序列，其元素在基本3中的扩展（从左开始）随着给定数字的扩展而开始。
The aim of this paper is to show a peculiar behavior of a (hypothetical) Collatz sequence going to infinity. We study the associated Syracusa sequence (the odd elements of the former) and show that the limit set of a conveniently normalized sequence is the whole unit interval. In particular, for any positive integer there is a subsequence whose elements' expansions in base 3 begin (from the left) with the expansion of the given number.
