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Results tagged with binomial-coefficients
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user 473047
For questions that explicitly reference the binomial coefficients, Pascal's Triangle, and Binomial identities.
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Does anyone have ideas about how to simplify this combinatorial expression (mod 2)?
Fix $k > 0$ for $\lceil \frac{2k+1}{3} \rceil \le j \le k$,
$$ \sum_{i = 0}^{2j-k-1} \binom{j}{i} + \sum_{b = \lceil \frac{k+1}{2} \rceil}^{\lfloor \frac{2k-j}{2} \rfloor} \left( \sum_{l = 0}^{2b-k-1} …
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