Some Properties of Padovan Sequence by Matrix Methods

YILMAZ F., BOZKURT D.

ARS COMBINATORIA, cilt.104, ss.149-160, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 104
  • Basım Tarihi: 2012
  • Dergi Adı: ARS COMBINATORIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.149-160
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

It is the aim of this paper to explore some new properties of the Padovan sequence using matrix methods. We derive new recurrence relations and generating matrices for the sums of Padovan numbers and 4n subscripted Padovan sequences. Also, we define one type of (0,1) upper Hessenberg matrix whose permanents are Padovan numbers.