English

Power Partitions and Semi-m-Fibonacci Partitions

Combinatorics 2019-11-20 v2

Abstract

George Andrews recently proved a new identity between the cardinalities of the set of Semi-Fibonacci partitions and the set of partitions into powers of two with all parts appearing an odd number of times. This paper extends the identity to the set of Semi-mm-Fibonacci partitions of nn and the set of partitions of nn into powers of mm in which all parts appear with multiplicity not divisible by mm.

Keywords

Cite

@article{arxiv.1910.09482,
  title  = {Power Partitions and Semi-m-Fibonacci Partitions},
  author = {Abdulaziz M. Alanazi and Augustine O. Munagi and Darlison Nyirenda},
  journal= {arXiv preprint arXiv:1910.09482},
  year   = {2019}
}