The number of permutations with a given number of sequences

dc.creatorKollar, Marcus
dc.date2006-10-15
dc.date.accessioned2026-07-07T07:29:05Z
dc.date.available2026-07-07T07:29:05Z
dc.descriptionP(n,s) denotes the number of permutations of 1,2,...n that have exactly s sequences. Canfield and Wilf [math.CO/0609704] recently showed that P(n,s) can be written as a sum of s polynomials in n. We determine these polynomials explicitly and also obtain explicit expressions for P(n,s) and its fixed-s generating function u_s(x).
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0610462
dc.identifierhttp://arxiv.org/abs/math/0610462
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117971
dc.subjectCombinatorics
dc.subject05A15
dc.titleThe number of permutations with a given number of sequences
dc.typetext

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