Masters Theses
Abstract
In this work, we summarize combinatorial, analytical, and computational properties of Stern's diatomic sequence, and do the same for a generalization of a combinatorial property of this sequence to higher bases. We then construct special ``bit conversion'' functions $g_{b}$ that allows us to find a semi-explicit formula for the generalized sequences. Lastly, we analyze some of the properties of these $g_{b}$ functions.
Advisor(s)
Bohner, Martin, 1966-
Committee Member(s)
Adekpedjou, Akim
Insall, Matt
Department(s)
Mathematics and Statistics
Degree Name
M.S. in Applied Mathematics
Publisher
Missouri University of Science and Technology
Publication Date
2025
Pagination
vi, 38 pages
Note about bibliography
Includes_bibliographical_references_(page 37)
Rights
© 2025 Mingway Wang , All Rights Reserved
Document Type
Thesis - Open Access
File Type
text
Language
English
Thesis Number
T 12501
Recommended Citation
Wang, Mingway, "Hyper B-ARY Representations of a Number" (2025). Masters Theses. 8242.
https://scholarsmine.mst.edu/masters_theses/8242
