query: the expression of the coefficients of the power series
positive_passages.docid: 22153
positive_passages.text: Power Series of a Holomorphic Function determined by its Real Part and $f(0)$?
negative_passages.docid: 61547
negative_passages.text: Derive an explicit formula for a power series $\sum_{n=1}^\infty n^2x^n$
negative_passages.docid: 139307
negative_passages.text: Closed form expression for infinite series
negative_passages.docid: 74081
negative_passages.text: Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$
negative_passages.docid: 138082
negative_passages.text: What are the coefficients in the expansion of $(x+y)(x+2y) \cdots (x+ny)$?
negative_passages.docid: 116491
negative_passages.text: Closed form for $\sum_{k=0}^{m} {\binom {m}{k}} a^{k} (b+ck)^N$
negative_passages.docid: 23726
negative_passages.text: A closed form for $1^{2}-2^{2}+3^{2}-4^{2}+ \cdots + (-1)^{n-1}n^{2}$
negative_passages.docid: 83229
negative_passages.text: Nested summations and their relation to binomial coefficients
negative_passages.docid: 119552
negative_passages.text: Summing Finitely Many Terms of Harmonic Series: $\sum_{k=a}^{b} \frac{1}{k}$
negative_passages.docid: 65653
negative_passages.text: Find a closed form of the series $\sum_{n=0}^{\infty} n^2x^n$
negative_passages.docid: 122236
negative_passages.text: How to compute the series: $\sum_{n=0}^{\infty} (-1)^{n-1}\binom{1/2}{n}$
negative_passages.docid: 1379
negative_passages.text: Summation of $n^2x^n$ terms
negative_passages.docid: 103310
negative_passages.text: Evaluation of the following expression
negative_passages.docid: 141390
negative_passages.text: Closed form for $\sum_{n=-\infty}^\infty \frac{1}{(z+n)^2+a^2}$
negative_passages.docid: 20945
negative_passages.text: On a series involving harmonic numbers
negative_passages.docid: 146762
negative_passages.text: Closed form for $\sum_{k=0}^{n} \binom{n}{k}\frac{(-1)^k}{(k+1)^2}$
negative_passages.docid: 17056
negative_passages.text: How to find answer to the sum of series $\sum_{n=1}^{\infty}\frac{n}{2^n} $