| Gaia: | SageMath (or simply SAGE, by the initials of: Software for Algebra and Geometry Experimentation) is a free mathematical software that integrates, under the modern Python programming environment, all the best existing open source mathematical software in a unified interface that includes the implementation of a wide range of functionalities that allow to support research and education in the different areas of mathematics.
In this article we present the program codes made in Sage to obtain the different types of restrictions and generalizations of the compositions of integers most cited in the literature. We show how these programs have served to obtain conjectures and new results in current research topics in this area of mathematics.
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