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

Sumit Kumar Jha

doi:10.1007/s11139-020-00380-w

paper

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

arXiv:2006.01627 · doi:10.1007/s11139-020-00380-w

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.

Accepted for publication in the Ramanujan Journal

References in corpus (1)

New identities for the partial Bell polynomials

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

Abstract

References in corpus (1)

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