| Issue |
EPJ Web Conf.
Volume 321, 2025
VII International Conference on Applied Physics, Information Technologies and Engineering (APITECH-VII-2025)
|
|
|---|---|---|
| Article Number | 02010 | |
| Number of page(s) | 8 | |
| Section | Condensed Matter Physics, Materials Science, and Nanoscale Phenomena | |
| DOI | https://doi.org/10.1051/epjconf/202532102010 | |
| Published online | 10 March 2025 | |
https://doi.org/10.1051/epjconf/202532102010
Hierarchical structures and plane sections of generalized Pascal’s pyramid
1 Zabaikal’sk Rail Transport Institute, Irkutsk State Transport University, 11, Magistralnaya st., Chita, 672040, Russia
2 Institute of Mathematics and Information Technologies, Irkutsk State University, 20, Gagarin Blvd., Irkutsk, 664003, Russia
* Corresponding author: mseryogina@mail.ru
Published online: 10 March 2025
We research mathematical combinatorial objects of pyramidal structure. Hierarchical structures are constructed based on the sums of the generalized Pascal’s pyramid plane sections elements. Enumerative interpretations of these structures constituent objects are obtained, the recurrence relations that these objects satisfy are proved, and some of the most important special cases of the obtained results are considered using the known combinatorial numbers as an example.
© The Authors, published by EDP Sciences, 2025
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