Bull. Korean Math. Soc. 2022; 59(5): 1279-1287
Online first article June 29, 2022 Printed September 30, 2022
https://doi.org/10.4134/BKMS.b210749
Copyright © The Korean Mathematical Society.
Yonsei University; Ewha Womans University
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: Primary 05A17; Secondary 11P81
Supported by: Suhyung An was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (No. 2019R1I1A1A01059433). Hyunsoo Cho was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2021R1C1C2007589) and the Ministry of Education (No. 2019R1A6A1A11051177).
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