2015/09/24 by Sithembele Nkonkobe, S. Nkonkobe, Nkonkobe, S. +2
Mathematics · #05A16 #05A18 #05A19 #2013 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A16 #msc:05A18 #msc:05A19 #msc:2013
paper · pdf · doi:10.48550/arxiv.1509.07352
arxiv created 2015/09/24 · openalex publication_date 2015/09/24 · arxiv updated 2015/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The introduction of bars in-between blocks of an ordered set partition(preferential arrangement) results in a barred ordered set partition(barred preferential arrange- ment). Having the restriction that some blocks of barred preferential arrangements to have a maximum of one block results in restricted barred preferential arrange- ments. In this study we establish relations between number of restricted barred preferential arrangements, multi-poly-Bernoulli numbers and numbers related to multi-poly-Bernoulli numbers. We prove a periodicity property satisfied by multi- poly-Bernoulli numbers having negative index, number of restricted barred prefer- ential arrangements and numbers related to multi-poly-Bernoulli numbers having negative index.