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The $r$-associated Stirling numbers of the second kind are a natural extension of Stirling numbers of the second kind. A combinatorial interpretation of $r$-associated Stirling numbers of the second kind is the number of ways to partition $n$ elements into $m$ subsets such that each subset contains at least $r$ elements. Calculating the associated Stirling numbers is typically done with a recurrence relation or a generating function that are computationally expensive or alternatively with adoi:10.11575/cdm.v15i3.68674 fatcat:3vstqobkinctrjfsezvn3ywtb4