On F3(k, n) -numbers of the Fibonacci type

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Özkan E., Yilmaz N. Ş., Włoch A.

Boletin de la Sociedad Matematica Mexicana, cilt.27, sa.3, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s40590-021-00381-9
  • Dergi Adı: Boletin de la Sociedad Matematica Mexicana
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Generalized Fibonacci numbers, Narayana's numbers, Padovan's numbers, Generating function, Pascal's triangle
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

© 2021, The Author(s).In this paper, we study a generalization of Narayana’s numbers and Padovan’s numbers. This generalization also includes a sequence whose elements are Fibonacci numbers repeated three times. We give combinatorial interpretations and a graph interpretation of these numbers. In addition, we examine matrix generators and determine connections with Pascal’s triangle.