A new recursive formula arising from a determinantal expression for weighted Delannoy numbers

DAĞLI M. C.

TURKISH JOURNAL OF MATHEMATICS, vol.45, no.1, pp.471-478, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.3906/mat-2009-92
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.471-478
  • Keywords: Delannoy number, central Delannoy number, determinantal expression, recurrence relation, FIBONACCI, POLYNOMIALS, TERMS
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we obtain a determinantal expression for weighted Delannoy numbers, from which we give a new recurrence relation for it. For the special case of our formula, we compute central weighted Delannoy number in terms of weighted Delannoy number.