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arXiv · 2006.01627

A formula for the number of partitions of $n$ in terms of the partial Bell polynomials

Sumit Kumar Jha
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Abstract

We derive a formula for $p(n)$ (the number of partitions of $n$) in terms of the partial Bell polynomials using Faà di Bruno's formula and Euler's pentagonal number theorem.

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Sumit Kumar Jha. 2020-12-20. A formula for the number of partitions of $n$ in terms of the partial Bell polynomials. https://doi.org/10.1007/s11139-020-00380-w

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