Timofieva N.K.
On the fractal nature of combinatorial sets and finding of formulas for combinatorial numbers

The fractal structure of combinatorial sets, which is formed in ordering of combinatorial configurations, is considered. Using the fractal properties of the sets, an approach to solving enumeration problems in combinatorics is developed. Arithmetic sequences are used to find combinatorial numbers. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: arithmetic triangle, combinatorial configurations, combinatorial numbers, combinatorics, fractals, partition of a natural number, Combinatorial mathematics, combinatorial configurations, combinatorial numbers, Combinatorics, Enumeration problems, Fractal properties, Fractal structures, Natural number, Fractals

Cite:
Timofieva N.K. (2020). On the fractal nature of combinatorial sets and finding of formulas for combinatorial numbers. Cybernetics and Systems Analysis, 56 (1), 129–137. doi: https://doi.org/10.1007/s10559-020-00226-9 http://jnas.nbuv.gov.ua/article/UJRN-0001074969 [In Ukrainian].