# Bulletin of theKorean Mathematical SocietyBKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc.

Published online June 29, 2022

## Enumeration of relaxed complete partitions and double-complete partitions

Suhyung An and Hyunsoo Cho

Yonsei University, Ewha Womans University

### Abstract

A partition of $n$ is complete if every positive integer from $1$ to $n$ can be represented by the sum of its parts. The concept of complete partitions has been extended in several ways.
In this paper, we consider the number of $k$-relaxed $r$-complete partitions of $n$ and the number of double-complete partitions of $n$.

Keywords: complete partitions, relaxed complete partitions, double-complete partitions

MSC numbers: 05A17, 11P81