The generalized Binet formula, representation and sums of the generalized order-k Pell numbers

Kilic E., Tasci D.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.10, sa.6, ss.1661-1670, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 6
  • Basım Tarihi: 2006
  • Doi Numarası: 10.11650/twjm/1500404581
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1661-1670
  • Anahtar Kelimeler: generalized order-k Pell numbers, matrix method, Binet formula, sum, MATRIX
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper we give a new generalization of the Pell numbers in matrix representation. Also we extend the matrix representation and we show that the sums of the generalized order-k Pell numbers could be derived directly using this representation. Further we present some identities, the generalized Binet formula and combinatorial representation of the generalized order-k Pell numbers.