query: A formula for the power sums: $1^n+2^n+\dotsc +k^n=\,$?
positive_passages.docid: 70677
positive_passages.text: Finite Sum of Power?
negative_passages.docid: 1837
negative_passages.text: Showing that $1^k+2^k + \dots + n^k$ is divisible by $n(n+1)\over 2$
negative_passages.docid: 121554
negative_passages.text: Finding $\sum\frac{1}{2^n(n+1)}$
negative_passages.docid: 26607
negative_passages.text: The idea behind the sum of powers of 2
negative_passages.docid: 124135
negative_passages.text: A general formula for $\sum (k-1)(k-2)(k-3)$?
negative_passages.docid: 57549
negative_passages.text: Finding the sum $\sum_{k=1}^rk^2\binom {n-k}{r-k}$
negative_passages.docid: 140172
negative_passages.text: How to compute the Riemann sum of $x^n$ for any positive integer $n$?
negative_passages.docid: 115433
negative_passages.text: Find the summation of given expression: $\sum_{k=1}^n k^3\binom nk$
negative_passages.docid: 7063
negative_passages.text: How to compute the  formula $\sum  \limits_{r=1}^d r \cdot 2^r$?
negative_passages.docid: 69045
negative_passages.text: Solving this summation: $\sum_{i=1}^k i\cdot2^i$
negative_passages.docid: 37771
negative_passages.text: Sum of a power series $n x^n$
negative_passages.docid: 42831
negative_passages.text: How to derive the formula for the sum of the first $n$ odd numbers: $n^2=\sum_{k=1}^n(2k-1).$
negative_passages.docid: 3798
negative_passages.text: Finding formula for sum $S_n = \sum_{i=1}^n i(i-1)$
negative_passages.docid: 28027
negative_passages.text: Find $\sum_{k=0}^{n}4^k \binom{n}{k}$
negative_passages.docid: 123698
negative_passages.text: Can $2^k + 2^j$ be expressed as $2^n$?
negative_passages.docid: 78632
negative_passages.text: Summation equation for $2^{x-1}$
negative_passages.docid: 144779
negative_passages.text: The number of ways to represent $(n^2+n)/4$ as a sum of $n/2$ distinct integers in $1,\dots,n$