Title

Extending a Recent Result in Hyper m-ary Partition Sequences

Publication Date

2017

Document Type

Article

Abstract

A hyper m-ary partition of an integer n is defined to be a partition of n where each part is a power of m and each distinct power of m occurs at most m times. Let hm(n) denote the number of hyper m-ary partitions of n and consider the resulting sequence. We show that the hyper m1-ary partition sequence is a subsequence of the hyper m2-ary partition sequence, for 2 ≤ m1 < m2.

Original Citation

Flowers, T.B. & Lockard, S.R. (2017). Extending a Recent Result in Hyper m-ary Partition Sequences. Journal of Integer Sequences 20(6), article 17.6.7.