English

On the roots of the cubic defining the Tribonacci sequences

Combinatorics 2007-05-23 v1

Abstract

We consider a sequence of sums of powers of the the roots of the cubic equation characterizing the Tribonacci sequences and derive its relationship with a particular Tribonacci sequence. Then we make a conjecture on the possible generalization.

Keywords

Cite

@article{arxiv.math/0209265,
  title  = {On the roots of the cubic defining the Tribonacci sequences},
  author = {Mario Catalani},
  journal= {arXiv preprint arXiv:math/0209265},
  year   = {2007}
}