English

The Binomial Transforms of Tribonacci and Tribonacci-Lucas sequences

Combinatorics 2016-01-12 v2

Abstract

In this study, we apply the binomial transforms to Tribonacci and Tribonacci-Lucas sequences. Also, the Binet formulas, summations, generating functions of these transforms are found using recurrence relations. Finally, we illustrate the relation between these transforms by deriving new formulas.

Keywords

Cite

@article{arxiv.1407.3947,
  title  = {The Binomial Transforms of Tribonacci and Tribonacci-Lucas sequences},
  author = {Nazmiye Yilmaz and Necati Taskara},
  journal= {arXiv preprint arXiv:1407.3947},
  year   = {2016}
}

Comments

This paper has been withdrawn by the author due to a crucial sign error in Theorem 2.1

R2 v1 2026-06-22T05:04:21.743Z