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


Kilic E., Tasci D.

TAIWANESE JOURNAL OF MATHEMATICS, vol.10, no.6, pp.1661-1670, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 6
  • Publication Date: 2006
  • Doi Number: 10.11650/twjm/1500404581
  • Journal Name: TAIWANESE JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1661-1670
  • Keywords: generalized order-k Pell numbers, matrix method, Binet formula, sum, MATRIX
  • Gazi University Affiliated: No

Abstract

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.