A Novel Summation Identity by Using Delannoy Triangle

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.

Keywords

• Diophantine equations
• Delannoy triangle
• balancing problems

References

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