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JOURNALS // Prikladnaya Diskretnaya Matematika // Archive

Prikl. Diskr. Mat., 2013 Number 4(22), Pages 67–72 (Mi pdm432)

Computational Methods in Discrete Mathematics

Combinatorial numbers of the finite multiset partitions

V. V. Gotsulenko

Institute for Technical Thermal Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine

Abstract: The problem of determining the number of different partitions of any finite multiset is considered. The generating functions for these combinatorial numbers are found and some of its properties are stated.

Keywords: multiset partitions, Diophantine equations, generating functions.

UDC: 519.1



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