A STUDY ON BINOMIAL TRANSFORM OF THE GENERALIZED PADOVAN SEQUENCE


SOYKAN Y., TAŞDEMİR E., OKUMUŞ İ.

JOURNAL OF SCIENCE AND ARTS, no.1, pp.63-90, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.46939/j.sci.arts-22.1-a06
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.63-90
  • Keywords: Binomial transform, Padovan sequence, Perrin sequence, binomial transform of Padovan sequence, generalized Tribonacci sequence
  • Istanbul University Affiliated: No

Abstract

In this paper, we define the binomial transform of the generalized Padovan sequence and as special cases, the binomial transform of the Padovan, Perrin, Padovan-Perrin, modified Padovan, adjusted Padovan sequences will be introduced. We investigate their properties in details.