One of the most popular interpretations of the unsigned Stirling number of the first kind ${n\brack n-k}$ is the number of permutations of $n$ elements with exactly $n-k$ permutation cycles. I have searched the literature for a combinatorial interpretation for $n{n\brack n-k}$ but have not found anything yet. Can someone help? I appreciate any help you can provide.
2026-03-27 22:11:58.1774649518
Stirling numbers of the first kind: A combinatorial interpretation problem
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