A new recursive formula arising from a determinantal expression for weighted Delannoy numbers
TURKISH JOURNAL OF MATHEMATICS, vol.45, no.1, pp.471-478, 2021 (SCI-Expanded)
- 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.