come up with a formula for $f(n)=\sum_{i=1}^n i^k$
50050
A formula for the power sums: $1^n+2^n+\dotsc +k^n=\,$?
143207
What is $\sum\limits_{i=1}^n \sqrt i\ $?
39909
Getting a closed form from $\sum_{i=1}^{n-1} \sum_{j=i+1}^{n} \sum_{k=1}^{j} 1$
70128
Prove that $(fg)^{(n)} = \sum_{k=0}^n \binom{n}{k}f^{(k)}(x)g^{(n-k)}(x)$
50552
find functions that $f(m+k)=f(mk-n)$
7073
How to get to the formula for the sum of squares of first n numbers?
17604
What is a good asymptotic for $f_n = f_{n-1}+\ln(f_{n-1})$?
562
Formula for calculating $\sum_{n=0}^{m}nr^n$
44328
Prove that $\sum_{k=1} ^ n k^{-1} = \ln(n) + O(1)$
67886
How to prove $\sum_{k=1}^{n}F_k = F_{n+2}-1$ by induction when $F_n$ is the Fibonacci sequence
37007
Evaluating $\sum_{k=1}^{n} \frac{1}{k(k+1)}$
153612
Finding $g_i:\mathbb{R}^n\to\mathbb R$ s.t $f(x)=\sum\limits_{i=1}^nx_i\cdot g_i(x)$
139074
Question about $a_n=\sum_{k=1}^n \frac{n}{n^2+k}\ $for $ n \in\mathbb{N}$
158004
A formula for $1^4+2^4+...+n^4$
110441
Closed form for a formula with a summation over $i\binom{n-i}{k-1}$, and combinatorial proof?
93984
How find this Fibonacci sequence sum $\sum_{k=0}^{\infty}\frac{1}{F_{2^k}}$
634
Closed form formula for $\sum\limits_{k=1}^n k^k$