A Recreational Application of Two Integer Sequences and the Generalized Repetitious Number Puzzle
History and Overview
2020-03-16 v2 Number Theory
Abstract
In this article, we give a particular recreational application of the sequence A000533 and A261544 in "The On-line Encyclopedia of Integer Sequences" (OEIS). The recreational application provides a direct extension to "The Repetitious Number" puzzle of Martin Gardner contained in The Second Scientific American Book of Mathematical Puzzles and Diversions published in 1961. We then provide a generalization to the repetitious number puzzle and give a related puzzle as an illustrative example. Finally, as a consequence of the generalization, we define a family of sequence in which the sequences A000533 and A261544 belong.
Cite
@article{arxiv.1908.06014,
title = {A Recreational Application of Two Integer Sequences and the Generalized Repetitious Number Puzzle},
author = {John Rafael M. Antalan},
journal= {arXiv preprint arXiv:1908.06014},
year = {2020}
}
Comments
17 pages, 3 tables