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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Branchings and partitions


Authors: L. Carlitz and Richard P. Stanley
Journal: Proc. Amer. Math. Soc. 53 (1975), 246-249
MSC: Primary 05A17; Secondary 10A45
DOI: https://doi.org/10.1090/S0002-9939-1975-0382025-3
MathSciNet review: 0382025
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Abstract: A generating function is obtained for the number of partitions corresponding to a complete branching on a nonincreasing sequence of $ n$ integers. Complete branchings are shown to be related to certain types of plane partitions.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0382025-3
Keywords: Branching, partition, plane partition, generating function
Article copyright: © Copyright 1975 American Mathematical Society