Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence

Mezö I., DİL A.

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol.7, no.2, pp.310-321, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.2478/s11533-009-0008-5
  • Journal Name: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.310-321
  • Keywords: Harmonic numbers, Hyperharmonic numbers, r-Stirling numbers, Fibonacci numbers, Euler-Seidel matrices
  • Akdeniz University Affiliated: Yes

Abstract

In this paper we use the Euler-Seidel method for deriving new identities for hyperharmonic and r-Stirling numbers. The exponential generating function is determined for hyperharmonic numbers, which result is a generalization of Gosper's identity. A classification of second order recurrence sequences is also given with the help of this method.