D-algebraic Guessing
Symbolic Computation
2025-11-03 v1 Combinatorics
Abstract
Given finitely many consecutive terms of an infinite sequence, we discuss the construction of a polynomial difference equation that the sequence may satisfy. We also present a method to seek a candidate polynomial differential equation for its generating function. It appears that these methods often lead to effective D-algebraic operations.
Cite
@article{arxiv.2510.26869,
title = {D-algebraic Guessing},
author = {Bertrand Teguia Tabuguia},
journal= {arXiv preprint arXiv:2510.26869},
year = {2025}
}
Comments
24 pages. For number theory, see the last section. Comments welcome