APPLICATION OF GENERATIVE FUNCTIONS TO THE PROBLEMS OF MAXIMUM CHESS ARRANGEMENTS OF N FIGURES
A. Lazoryk, H. Melnyk, V. Melnyk · Bukovinian Mathematical Journal · 2023
A generating function is a formal structure that is closely related to a numerical sequence, but allows us to manipulate the sequence as a single entity, with the goal of understanding it better. Roughly speaking, generating functions transform problems about sequences into problems about functions. They provide a systematic way to encode sequences of numbers or other combinatorial objects, allowing for elegant solutions to complex problems across diverse mathematical domains. In this article, we will approach a range of problems, involving placing