The asymptotic number of set partitions with unequal block sizes.
Knopfmacher, A., Odlyzko, A.M., Pittel, B., Richmond, L.B., Stark, D., Szekeres, G., Wormald, N.C. (1999)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Knopfmacher, A., Odlyzko, A.M., Pittel, B., Richmond, L.B., Stark, D., Szekeres, G., Wormald, N.C. (1999)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Canfield, E.Rodney, Corteel, Sylvie, Savage, Carla D. (1998)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Hang-Fai Yeung (1992)
Acta Arithmetica
Similarity:
P. Erdös, J. L. Nicolas (1995)
Collectanea Mathematica
Similarity:
Hardy, Michael (2006)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Knopfmacher, Arnold, Mansour, Toufik, Wagner, Stephan (2010)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
David Wang (2014)
Open Mathematics
Similarity:
Generalizing Reiner’s notion of set partitions of type B n, we define colored B n-partitions by coloring the elements in and not in the zero-block respectively. Considering the generating function of colored B n-partitions, we get the exact formulas for the expectation and variance of the number of non-zero-blocks in a random colored B n-partition. We find an asymptotic expression of the total number of colored B n-partitions up to an error of O(n −1/2log7/2 n], and prove that the centralized...
Eriksson, Kimmo (2010)
Integers
Similarity:
Helmut Prodinger (1984)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
Similarity:
Callan, David (2008)
Journal of Integer Sequences [electronic only]
Similarity:
Ferenc Oravecz (2000)
Colloquium Mathematicae
Similarity:
The lattice of partitions and the sublattice of non-crossing partitions of a finite set are important objects in combinatorics. In this paper another sublattice of the partitions is investigated, which is formed by the symmetric partitions. The measure whose nth moment is given by the number of non-crossing symmetric partitions of n elements is determined explicitly to be the "symmetric" analogue of the free Poisson law.