Letters of a given type in Catalan words: A continued fraction approach
Helmut Prodinger

TL;DR
This paper introduces a continued fraction approach to generate functions related to Catalan words and digit frequencies, emphasizing speed, elegance, and flexibility inspired by Flajolet's 1980 philosophy.
Contribution
It presents a novel continued fraction method for analyzing Catalan words and digit frequencies, enhancing computational efficiency and conceptual clarity.
Findings
Efficient generation of functions for Catalan words
Flexible approach adaptable to various digit frequency analyses
Aligns with Flajolet's 1980 theoretical framework
Abstract
Generating functions related to Catalan words and frequencies of digits are obtained using continued fractions. This is fast, elegant, and flexible. It follows the philosophy of Philippe Flajolet from 1980.
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