论文标题
基部3/2和贪婪的分区序列
Base 3/2 and Greedily Partitioned Sequences
论文作者
论文摘要
我们深入研究了基本$ \ frac {3} {2} $与非阴性整数的贪婪分区之间的连接。具体而言，我们在用数字0、1和2编写的字符串上找到一个分形结构。我们使用此结构来证明，甚至在基本$ \ frac {3} {2} $上写的甚至是非阴性整数，然后在base 3中进行解释，然后在stanley交叉序列中进行解释，其中包括Stanley交叉序列的众多序列，这些序列是许多序列的序列。整数分为3个序列。
We delve into the connection between base $\frac{3}{2}$ and the greedy partition of non-negative integers into 3-free sequences. Specifically, we find a fractal structure on strings written with digits 0, 1, and 2. We use this structure to prove that the even non-negative integers written in base $\frac{3}{2}$ and then interpreted in base 3 form the Stanley cross-sequence, where the Stanley cross-sequence comprises the first terms of the infinitely many sequences that are formed by the greedy partition of non-negative integers into 3-free sequences.
