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

Authors: MUHAMMET CİHAT DAĞLI

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.

Keywords: Delannoy number, central Delannoy number, determinantal expression, recurrence relation

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