Abstract
We present a family of identities including both binomial coefficients and a power of a natural number \(m \ge 2\). We find a combinatorial interpretation of these identities, which provides bijective proof. Dual alternating sign identities are also presented.
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Acknowledgements
The author thanks the referee for valuable comments and suggestions that improved the final version of the paper. The author is thankful to Professor B.Sury from the Indian Statistical Institute, Bangalore for providing useful reference.
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Martinjak, I. Two infinite families of terminating binomial sums. Period Math Hung 75, 244–254 (2017). https://doi.org/10.1007/s10998-017-0190-3
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DOI: https://doi.org/10.1007/s10998-017-0190-3