BI-PERIODIC BALANCING NUMBERS

Taşcı D., Sevgi E.

JOURNAL OF SCIENCE AND ARTS, no.1, pp.75-84, 2020 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2020
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.75-84
  • Keywords: Balancing numbers, k-balancing numbers, Bi-periodic balancing numbers, Binet formula, Generating function, Cassini identity, Catalan identity
  • Gazi University Affiliated: Yes

Abstract

In this paper, we introduce a new generalization of the balancing numbers which we call bi-periodic balancing numbers as