Document Type
Article
Publication Date
2-2020
Abstract
Throughout history, recreational mathematics has always played a prominent role in advancing research. Following in this tradition, in this paper we extend some recent work with crazy sequential representations of numbers− equations made of sequences of one through nine (or nine through one) that evaluate to a number. All previous work on this type of puzzle has focused only on base ten numbers and whether a solution existed. We generalize this concept and examine how this extends to arbitrary bases, the ranges of possible numbers, the combinatorial challenge of finding the numbers, efficient algorithms, and some interesting patterns across any base. For the analysis, we focus on bases three through ten. Further, we outline several interesting mathematical and algorithmic complexity problems related to this area that have yet to be considered.
Recommended Citation
Wylie, T. (2019). Crazy Sequential Representations of Numbers for Small Bases, Recreational Mathematics Magazine, 6(12), 33-48. doi: https://doi.org/10.2478/rmm-2019-0007
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Publication Title
Recreational Mathematics Magazine
DOI
10.2478/rmm-2019-0007
Comments
Original version available at https://doi.org/10.2478/rmm-2019-0007