Sum of weighted records in set partitions

2019/06/03 by Asakly, Walaa · 1 citation
#05A05 #05A15 #05A17 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.00680

Abstract

The purpose of this paper is to find an explicit formula and asymptotic estimate for the total number of sum of weighted records over set partitions of [n] in terms of Bell numbers. For that we study the generating function for the number of set partitions of [n] according to the statistic sum of weighted records.

Cited by

• Sum of elements preceding records in set partitions

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