UDC 519.11.176
1 International Scientific and Training Center of Information Technologies and Systems, National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv, Ukraine
 TymNad@gmail.com
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ON THE FRACTAL NATURE OF COMBINATORIAL SETS AND
FINDING OF FORMULAS FOR COMBINATORIAL NUMBERS
Abstract. The fractal structure of combinatorial sets, which is formed in ordering of combinatorial configurations, is considered. Using the fractal properties of contracted sets, an approach to solving enumeration problems in combinatorics is developed. Arithmetic sequences are used to find combinatorial numbers.
Keywords: combinatorics, fractals, combinatorial configurations, partitioning of a natural number, arithmetic triangle, combinatorial numbers.
FULL TEXT
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