Records in set partitions.
Knopfmacher, Arnold, Mansour, Toufik, Wagner, Stephan (2010)
The Electronic Journal of Combinatorics [electronic only]
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Knopfmacher, Arnold, Mansour, Toufik, Wagner, Stephan (2010)
The Electronic Journal of Combinatorics [electronic only]
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Canfield, E.Rodney, Corteel, Sylvie, Savage, Carla D. (1998)
The Electronic Journal of Combinatorics [electronic only]
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Pittel, Boris (2000)
The Electronic Journal of Combinatorics [electronic only]
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David Wang (2014)
Open Mathematics
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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...
P. Erdös, J. L. Nicolas (1995)
Collectanea Mathematica
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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]
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Woodford, Roger (2007)
Journal of Integer Sequences [electronic only]
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Hang-Fai Yeung (1992)
Acta Arithmetica
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Klazar, Martin (2005)
The Electronic Journal of Combinatorics [electronic only]
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Došlić, Tomislav (2005)
Journal of Integer Sequences [electronic only]
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Athanasiadis, Christos A. (1998)
The Electronic Journal of Combinatorics [electronic only]
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Sellers, James A. (2004)
Journal of Integer Sequences [electronic only]
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