English

Binomial transforms of the modified k-Fibonacci-like sequence

Number Theory 2018-04-24 v1

Abstract

This study applies the binomial, k-binomial, rising k-binomial and falling k-binomial transforms to the modified k-Fibonacci-like sequence. Also, the Binet formulas and generating functions of the above mentioned four transforms are newly found by the recurrence relations.

Keywords

Cite

@article{arxiv.1804.08119,
  title  = {Binomial transforms of the modified k-Fibonacci-like sequence},
  author = {Youngwoo Kwon},
  journal= {arXiv preprint arXiv:1804.08119},
  year   = {2018}
}

Comments

14 pages

R2 v1 2026-06-23T01:31:38.840Z