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Balancing in direction (1,-1) in Pascal’s Triangle

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In this paper, we study the problem of balancing binomial coefficients in Pascal’s triangle. We give the complete solution in the direction (1,-1) for the first four cases of the possible rays. Some linked questions have been also examined.

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