Is there a general product formula for $\sum\limits_{k=1}^{n} k^p$
45084
How is Faulhaber's formula derived?
129801
Finding a closed form for $\sum^{n}_{k=1} \frac{k}{(k+1)!} $
30518
Formula for $\sum_{k=1}^n \frac{1}{k(k+1)(k+2)}$?
13098
Find a formula for $\sum\limits_{k=1}^n \lfloor \sqrt{k} \rfloor$
10211
Proving that $\sum\limits_{k=0}^{n} {{m+k} \choose{m}} = { m+n+1 \choose m+1 }$
20550
Generalized Euler sum $\sum_{n=1}^\infty \frac{H_n}{n^q}$
81124
Infinite product problem: $\sum p_n0$
51679
Simplifying the product $\prod\limits_{k=2}^n \left(1-\frac1{k^2}\right)$
158774
Series of binomial coefficients: $\sum\limits_{n=k}^{\infty}{\binom nk}x^n=\frac{x^k}{(1-x)^{k+1}}$
77605
Limit of $\prod\limits_{k=2}^n\frac{k^3-1}{k^3+1}$
56365
Evaluate $\sum\limits_{k=1}^{n} \frac{k}{2^k}$
7302
$\sum k! = 1! +2! +3! + \cdots + n!$ ,is there a generic formula for this?
36361
How to calculate the summation $(\sum_{p = k}^{n} \binom{n}{p}) / 2^n$ quickly?
68320
Infinite Product $\prod\limits_{k=1}^\infty\left({1-\frac{x^2}{k^2\pi^2}}\right)$
17872
Evaluate $\lim\limits_{n\to\infty}\frac{\sum_{k=1}^n k^m}{n^{m+1}}$
1166
How to compute $\prod\limits^{\infty}_{n=2} \frac{n^3-1}{n^3+1}$
87479
Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$