English

Record values in appending and prepending bitstrings to runs of binary digits

Number Theory 2018-10-08 v2

Abstract

In this short note, we show a simple characterization of integers that reach records for a sequence described by adding binary strings to runs of 1's and 0's in a binary representation. In particular, we show that this set does not depend on the added strings as long as they are nonempty and of the same length.

Keywords

Cite

@article{arxiv.1810.02293,
  title  = {Record values in appending and prepending bitstrings to runs of binary digits},
  author = {Chai Wah Wu},
  journal= {arXiv preprint arXiv:1810.02293},
  year   = {2018}
}

Comments

4 pages, minor edits and corrected typos

R2 v1 2026-06-23T04:28:40.539Z