52 citations
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Showing 2006 · math.COShow all
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math.CO2006★ 1 cited
Statistics on Ordered Partitions of Sets and q-Stirling Numbers
Masao Ishikawa, Anisse Kasraoui, Jiang Zeng
An ordered partition of [n]:={1,2,..., n} is a sequence of its disjoint subsets whose union is [n]. The number of ordered partitions of [n] with k blocks is k!S(n,k), where S(n,k)…
math.CO2006★ 52 cited
Sur le nombre d'intervalles dans les treillis de Tamari
Frédéric Chapoton
We enumerate the intervals in the Tamari lattices. For this, we introduce an inductive description of the intervals. Then a notion of "new interval" is defined and these are also e…