Catalan单词中给定类型的字母：continued fraction方法
组合数学
2026-04-27 v2
摘要
使用continued fraction方法获得与Catalan单词及数字频率相关的生成函数。该方法快速、优雅且灵活，遵循Philippe Flajolet于1980年提出的哲学。
引用
@article{arxiv.2603.23378,
title = {Letters of a given type in Catalan words: A continued fraction approach},
author = {Helmut Prodinger},
journal= {arXiv preprint arXiv:2603.23378},
year = {2026}
}
备注
A new section added, about counting subwords 12 and variations