A sum involving binomial coefficients and its evaluation using the Gamma function
66802
Simplify this equation.
19868
Evaluate: $ \sum _ {k=1}^{n}{\frac{k}{n}\binom{n}{k}t^k(1-t)^{n-k}}$
112827
Find the sum of the binomial coefficients
79814
Calculate sums of inverses of binomial coefficients
52774
Computing an infinite sum using the Residue theorem
51008
Evaluating a sum involving binomial coefficient in denominator
41028
Is there a combinatorial way to see the link between the beta and gamma functions?
61270
Binomial Theorem Sum
128856
Show the result of the following infinite sum, based on a binomial random variable conditioned on a Poisson random variable
115686
A finite summation of double binomial coefficients
33585
Moment generating function of a gamma distribution
83229
Nested summations and their relation to binomial coefficients
35956
Proof that a sum of Bernoulli rvs has Binomial distribution
17551
Truncated alternating binomial sum
133420
Computing the binomial series: $\binom{n}{2}\cdot2^2+\binom{n}{4}\cdot2^4+\binom{n}{6}\cdot2^6+\cdots+ \binom{n}{n}\cdot2^n$
144571
A conjecture including binomial coefficients
15666
explanation for a combinatorial identity involving the binomial coefficient