query: How do I calculate the sum of sum of triangular numbers?
positive_passages.docid: 146746
positive_passages.text: A formula for the sum of the triangular numbers?
negative_passages.docid: 74294
negative_passages.text: How to simplify $\sum_{i=1}^{k}\binom{n + i - 1}{i}$?
negative_passages.docid: 58262
negative_passages.text: Find the sum of the series $1+\frac{1}{3}\cdot\frac{1}{4}+\frac{1}{5}\cdot\frac{1}{4^2}+\frac{1}{7}\cdot\frac{1}{4^3}+\cdots$
negative_passages.docid: 91784
negative_passages.text: Calculating $\sum_{n=1}^\infty {\frac{1}{2^nn(3n-1)}}$
negative_passages.docid: 61270
negative_passages.text: Binomial Theorem Sum
negative_passages.docid: 138236
negative_passages.text: What is the sum of the angles of a triangle on Earth orbit?
negative_passages.docid: 86426
negative_passages.text: calculate $\sum_{1\le i\le r}\frac{i+1} { r+1}{2r-i\choose r-i}{s+i-2\choose i}+\frac{1}{r+1}{2r\choose r}$?
negative_passages.docid: 135914
negative_passages.text: Evaluate the sum of cubes
negative_passages.docid: 44577
negative_passages.text: Finding a formula to sum natural numbers up to $n$
negative_passages.docid: 96173
negative_passages.text: Triangular Numbers Modulo $k$ - Hit All Values?
negative_passages.docid: 8806
negative_passages.text: Summation of binomial coefficients
negative_passages.docid: 63064
negative_passages.text: How to compute sum of sum (linear analysis)
negative_passages.docid: 22657
negative_passages.text: How to find the sum of the infinite series?
negative_passages.docid: 117604
negative_passages.text: Sum of the rows of Pascal's Triangle.
negative_passages.docid: 130945
negative_passages.text: Summation using residues
negative_passages.docid: 134633
negative_passages.text: How to sum this series for $\pi/2$ directly?
negative_passages.docid: 7891
negative_passages.text: Sum of nth roots of unity