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Results tagged with binomial-coefficients
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user 70264
For questions that explicitly reference the binomial coefficients, Pascal's Triangle, and Binomial identities.
3
votes
3
answers
511
views
A question about summation formula involving binomial coefficient
In Table of Integrals, Series, and Products. Seventh Edition. I.S. Gradshteyn and I.M. Ryzhik, there is
0.154.3
$$
\sum_{k=0}^N (-1)^k {N \choose k} k^{n-1} =0, N \geq n \geq 1; 0^0 ≡ 1
$$
0.154.4
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