English

A Combinatorial Problem Solved by a Meta-Fibonacci Recurrence Relation

Combinatorics 2019-02-11 v1

Abstract

We present a natural, combinatorial problem whose solution is given by the meta-Fibonacci recurrence relation a(n)=i=1pa(ni+1a(ni))a(n) = \sum_{i=1}^p a(n-i+1 - a(n-i)), where pp is prime. This combinatorial problem is less general than those given in [3] (B. Jackson, F. Ruskey, 2006) and [4] (F. Ruskey, C. Deugau, 2009), but it has the advantage of having a simpler statement.

Keywords

Cite

@article{arxiv.1902.02929,
  title  = {A Combinatorial Problem Solved by a Meta-Fibonacci Recurrence Relation},
  author = {Ramin Naimi and Eric Sundberg},
  journal= {arXiv preprint arXiv:1902.02929},
  year   = {2019}
}
R2 v1 2026-06-23T07:35:17.915Z