query: Formula with binomial coefficients
positive_passages.docid: 143945
positive_passages.text: Summation of combination of binomial coefficient
negative_passages.docid: 158004
negative_passages.text: A formula for $1^4+2^4+...+n^4$
negative_passages.docid: 140607
negative_passages.text: Squared binomial coefficient
negative_passages.docid: 96945
negative_passages.text: General formula of $\sum_{n\ge1}{\binom{2n}{n}^{-k}}$.
negative_passages.docid: 143927
negative_passages.text: Binomial coefficients that are powers of 2
negative_passages.docid: 44111
negative_passages.text: Find the value of $\sum_{k=1}^{n}k\binom{n}{k}$?
negative_passages.docid: 14559
negative_passages.text: Binomial[-1,-1]
negative_passages.docid: 90904
negative_passages.text: Combinatorial proof of an identity with squared binomial coefficients
negative_passages.docid: 14399
negative_passages.text: Calculate $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k}$
negative_passages.docid: 38741
negative_passages.text: Finding a general formula for summation
negative_passages.docid: 94060
negative_passages.text: Sum of square binomial coefficients
negative_passages.docid: 142303
negative_passages.text: Alternating sum of binomial coefficients multiplied by (1/k+1)
negative_passages.docid: 71769
negative_passages.text: Evaluation of ratio of two binomial expression
negative_passages.docid: 105416
negative_passages.text: How can I find an inverse to the Binet formula?
negative_passages.docid: 112374
negative_passages.text: Evaluate $ \binom{n}{0}+\binom{n}{2}+\binom{n}{4}+\cdots+\binom{n}{2k}+\cdots$
negative_passages.docid: 142994
negative_passages.text: How to show $\sum_{i=1}^{n} \binom{i}{2}=\binom{n+1}{3}$?
negative_passages.docid: 64803
negative_passages.text: Counting two ways, $\sum \binom{n}{k} \binom{m}{n-k} = \binom{n+m}{n}$