Work

A Novel Summation Identity by Using Delannoy Triangle

Year: 2026

Type: article

Abstract: In this paper, we study the balancing and co-balancing problems for the coefficients located along the direction $(1,-1)$ of the Delannoy triangle. Motivated by our search for the solutions of balancing problem, we give a novel identity on the Delannoy triangle.

Source: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

DOI: 10.31801/cfsuasmas.1554526

Authors: Said Amrouche, Hacène Belbachir, Nurettin Irmak

Institution: Konya Technical University

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7142636004

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Cites: 14

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