English

On a recursively defined sequence involving the prime counting function

Number Theory 2020-06-16 v1

Abstract

We prove some properties of the sequence {an}n1\{a_n\}_{n\ge1} defined by an=π(n)π(k=1n1ak).a_n=\pi(n)-\pi\bigl(\textstyle\sum_{k=1}^{n-1}a_k\bigr).

Cite

@article{arxiv.2006.08013,
  title  = {On a recursively defined sequence involving the prime counting function},
  author = {Altug Alkan and Andrew R. Booker and Florian Luca},
  journal= {arXiv preprint arXiv:2006.08013},
  year   = {2020}
}
R2 v1 2026-06-23T16:19:02.853Z