Combinatorial interpretations of the Jacobi-Stirling numbers.

Gelineau, Yoann; Zeng, Jiang

Displaying similar documents to “Combinatorial interpretations of the Jacobi-Stirling numbers.”

Sets, lists and noncrossing partitions.

Callan, David (2008)

Journal of Integer Sequences [electronic only]

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Compositions of n as alternating sequences of weakly increasing and strictly decreasing partitions

Aubrey Blecher, Charlotte Brennan, Toufik Mansour (2012)

Open Mathematics

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Compositions and partitions of positive integers are often studied in separate frameworks where partitions are given by q-series generating functions and compositions exhibiting specific patterns are designated by generating functions for these patterns. Here, we view compositions as alternating sequences of weakly increasing and strictly decreasing partitions (i.e. alternating blocks). We obtain generating functions for the number of such partitions in terms of the size of the composition,...