Plane Partitions and Divisors

In this paper, we consider the sum of divisors d of n such that n/d is a power of 2 and derive a new decomposition for the number of plane partitions of n in terms of binomial coefficients as a sum over partitions of n. In this context, we introduce a new combinatorial interpretation of the number o...

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Bibliographic Details
Published in:Symmetry (Basel) 2024-01, Vol.16 (1), p.5
Main Authors: Ballantine, Cristina, Merca, Mircea
Format: Article
Language:English
Subjects:
Binomial coefficients
Combinatorial analysis
Decomposition
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Summary:In this paper, we consider the sum of divisors d of n such that n/d is a power of 2 and derive a new decomposition for the number of plane partitions of n in terms of binomial coefficients as a sum over partitions of n. In this context, we introduce a new combinatorial interpretation of the number of plane partitions of n.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16010005