A formula for the power sums: $1^n+2^n+\dotsc +k^n=\,$?
72402
Summation of natural number set with power of $m$
158004
A formula for $1^4+2^4+...+n^4$
63965
How can I compute the sum of $ {m\over\gcd(m,n)}$?
152
What is $1^k+2^k+\cdots+ (p-1)^k$ modulo $p$? (From Ireland and Rosen).
130548
What is the sum of the power series: $\sum_{k=2}^\infty\frac{x^k}{k(k-1)}$?
3798
Finding formula for sum $S_n = \sum_{i=1}^n i(i-1)$
148442
Show that the sum $\sum_{k = 0}^n 2^k \binom{n}{k}$ is equal to $3^n$
115433
Find the summation of given expression: $\sum_{k=1}^n k^3\binom nk$
113189
Find the sum of the series $1^2-2^2+3^2-4^2+...-(2n)^2$
30518
Formula for $\sum_{k=1}^n \frac{1}{k(k+1)(k+2)}$?
101017
What is the sum of $\sum\limits_{i=1}^{n}ip^i$?
54442
Sum of $k {n \choose k}$ is $n2^{n-1}$
108318
counting proof for $\sum_{k=0}^{n-1} 2^{k} = 2^n - 1$
96945
General formula of $\sum_{n\ge1}{\binom{2n}{n}^{-k}}$.
117837
Formula for the general Cavalieri Sum: $S_n(p)=\sum\limits_{k=1}^{n} k^p\,\,\,n, p\in\mathbb N$
61547
Derive an explicit formula for a power series $\sum_{n=1}^\infty n^2x^n$
44928
Show $\sum_n \frac{z^{2^n}}{1-z^{2^{n+1}}} = \frac{z}{1-z}$