An extension of Lucas identity via Pascal's triangle

Giuseppina ANATRIELLO; Giovanni VİNCENZİ

doi:https://doi.org/10.15672/hujms.744408

Makale detayları

An extension of Lucas identity via Pascal's triangle

Yazarlar:

Giuseppina ANATRIELLO | Giovanni VİNCENZİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 3, pp.647-658

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450620

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.744408

Özet:

 

The Fibonacci sequence can be obtained by drawing diagonals in a Pascal’s triangle, and from this, we can obtain the Lucas identity. An investigation on the behavior of certain kinds of other diagonals inside a Pascal’s triangle identifies a new family of recursive sequences: the kkk-Padovan sequences. This family both contains the Fibonacci and the Padovan sequences. A general binomial identity for kkk-Padovan sequences which extends both the well-known Lucas identity and the less known Padovan identity is derived.

Makale detayları

An extension of Lucas identity via Pascal's triangle

Yazarlar: Giuseppina ANATRIELLO | Giovanni VİNCENZİ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 3, pp.647-658

Belge Tipi: Makale

Yayın Tarihi: 6/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450620

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.744408

Sayı

Yazarlar:

Giuseppina ANATRIELLO | Giovanni VİNCENZİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 3, pp.647-658

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450620

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.744408