Decomposition of Beatty and Complementary Sequences
Number Theory
2023-05-25 v1 Combinatorics
Abstract
In this paper we express the difference of two complementary Beatty sequences, as the sum of two Beatty sequences closely related to them. In the process we introduce a new Algorithm that generalizes the well known Minimum Excluded algorithm and provides a method to generate combinatorially any pair of complementary Beatty sequences.
Keywords
Cite
@article{arxiv.2305.15361,
title = {Decomposition of Beatty and Complementary Sequences},
author = {Geremias Polanco},
journal= {arXiv preprint arXiv:2305.15361},
year = {2023}
}
Comments
17 pages including references