English

Ultra-recursive sequences

General Mathematics 2019-02-06 v1

Abstract

We study a new type of sequences whose elements are defined in terms of the position, sign and magnitude of another element of the sequence. The name ultra-recursive comes from the fact that these sequences possess terms that are generated adding either the previous (as in traditional recurrences formulas) or the next terms. They are also self-referential because the rules to generate every member alludes to some value of the sequence.

Keywords

Cite

@article{arxiv.1902.01820,
  title  = {Ultra-recursive sequences},
  author = {Óscar Andrés Ram. Ramírez},
  journal= {arXiv preprint arXiv:1902.01820},
  year   = {2019}
}