Sum rules for permutations with fixed points involving Stirling numbers of the first kind

We propose sum rules for permutations <em>p</em>_n(<em>k</em>) of the ensemble {1,2,...,<em>n</em>} with <em>k</em> fixed points, in the form of partial sums of their moments. The corresponding identities involve Stirling numbers of the first kind <em>s</em>(<em>q,r</em>). Using a formula...

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Autore principale:	Jean-Christophe Pain
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	InaCombS; Universitas Jember; dan Universitas Indonesia 2026-02-01
Serie:	Indonesian Journal of Combinatorics
Soggetti:	partitions fixed points bell numbers signed and unsigned stirling numbers of the first kind stirling numbers of the second kind binomial sums
Accesso online:	http://www.ijc.or.id/index.php/ijc/article/view/257
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