#### 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 *h _{m}*(

*n*) denote the number of hyper

*m*-ary partitions of

*n*and consider the resulting sequence. We show that the hyper

*m*

_{1}-ary partition sequence is a subsequence of the hyper

*m*

_{2}-ary partition sequence, for 2 ≤

*m*

_{1}<

*m*

_{2}.

#### 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.

#### Virtual Commons Citation

Flowers, Timothy B. and Lockard, Shannon R. (2017). Extending a Recent Result in Hyper *m*-ary Partition Sequences. In *Mathematics Faculty Publications.* Paper 71.

Available at: https://vc.bridgew.edu/math_fac/71