Iterated binomial transform of the k-Lucas sequence
Number Theory
2016-04-26 v3
Abstract
In this study, we apply "r" times the binomial transform to k-Lucas sequence. Also, the Binet formula, summation, generating function of this transform are found using recurrence relation. Finally, we give the properties of iterated binomial transform with classical Lucas sequence.
Keywords
Cite
@article{arxiv.1502.06448,
title = {Iterated binomial transform of the k-Lucas sequence},
author = {Nazmiye Yilmaz and Necati Taskara},
journal= {arXiv preprint arXiv:1502.06448},
year = {2016}
}