On Pellnomial coefficients and Pell–Catalan numbers
Yükleniyor...
Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Tartu Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we first give the Pascal’s identity for Pellno-mial coefficients and then we show that the Pellnomial coefficients are integers. We obtain that the product of r consecutive Pell numbers is divisible by the Pell analog of r!. Also, we introduce the divisibility the-orems between Pell numbers and Pellnomial coefficients. Furthermore, we first define Pell–Catalan numbers and then we derive two formulas for presenting Pell–Catalan numbers. © 2022, University of Tartu Press. All rights reserved.
Açıklama
WOS:000925932800003
Anahtar Kelimeler
Catalan Numbers, Divisibility, Pell Numbers, Pellnomials, Pell–Catalan Numbers
Kaynak
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
26
Sayı
2
Künye
İpek, A. (2022). On pellnomial coefficients and Pell–Catalan numbers. Acta Et Commentationes Universitatis Tartuensis De Mathematica, 26(2), 207-218. doi:10.12697/ACUTM.2022.26.14
