Sums of $r$-Lah numbers and $r$-Lah polynomials

Gábor Nyul, Gabriella Rácz

Abstract


The total number of partitions of a finite set into nonempty ordered subsets such that r distinguished elements belong to distinct ordered blocks can be described as sums of r-Lah numbers. In this paper we study this possible variant of Bell-like numbers, as well as the related r-Lah polynomials.


Keywords


Summed $r$-Lah numbers, $r$-Lah polynomials.

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ISSN: 1855-3974

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