Exploration of Advanced Combinatorics with Wolfram Language

This talk introduces key topics in advanced combinatorics through the computational power of Wolfram Language. We explore discrete calculus, recurrence relations and finite sums as foundational tools. Using the OEIS interface, we demonstrate how to identify and analyze integer sequences programmatically. The session also highlights the Wolfram Function Repository for combinatorial statistics, showcasing tools for Eulerian numbers, Foata transformations and permutation analysis. Finally, we examine tree-based data structures for representing and manipulating combinatorial objects such as Catalan trees and binary search structures.