Partitions excluding specific polygonal numbers as parts.
Sellers, James A. (2004)
Journal of Integer Sequences [electronic only]
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Sellers, James A. (2004)
Journal of Integer Sequences [electronic only]
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Hardy, Michael (2006)
The Electronic Journal of Combinatorics [electronic only]
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Ferenc Oravecz (2000)
Colloquium Mathematicae
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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.
Sellers, James A. (2003)
Integers
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Eichhorn, Dennis, McLaughlin, James, Sills, Andrew V. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Can, Mahir Bilen, Sagan, Bruce E. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Václav Havel (1967)
Archivum Mathematicum
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Sills, Andrew V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Ji, Kathy Qing (2008)
The Electronic Journal of Combinatorics [electronic only]
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Callan, David (2008)
Journal of Integer Sequences [electronic only]
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