query: Solve $T(n) = 1 +\sum_{i=0}^{n-1}T(i)$
positive_passages.docid: 24516
positive_passages.text: How do you solve a recurrence with a summation function inside: $t(n) = 1 + \sum\limits_{j=0}^{n-1} t(j)$
negative_passages.docid: 75279
negative_passages.text: Reversing the $T(n) = \frac{n(n+1)}{2}$ formula
negative_passages.docid: 52278
negative_passages.text: How to solve $\sum_{k=2}^\infty {\frac{1}{k^2-1}}$
negative_passages.docid: 137027
negative_passages.text: Find the value of $\sum_{n=0}^\infty\frac{1}{9n^2+9n+2}$
negative_passages.docid: 89758
negative_passages.text: Is there a formula for $(1+i)^n+(1-i)^n$?
negative_passages.docid: 74120
negative_passages.text: Find the value of $\sum_{n=1}^{\infty} \frac{2}{n}-\frac{4}{2n+1}$
negative_passages.docid: 80177
negative_passages.text: Sum from $n=1$ to $N$ of $\sin(nx)/2^n$
negative_passages.docid: 70460
negative_passages.text: How can I solve the following sequence
negative_passages.docid: 151929
negative_passages.text: Solving recurrence relation. Recurrence
negative_passages.docid: 141095
negative_passages.text: Solve recurrence relation $ a_{n+1} = (n+1)a_n + 1 $
negative_passages.docid: 52324
negative_passages.text: Tight bound for $T(n) = T(n^{1/2}) + 1$
negative_passages.docid: 34790
negative_passages.text: Find $f(1)$ from equation $\int_{0}^{x}f(t)dt = x+\int_{x}^{1}tf(t)dt$
negative_passages.docid: 143047
negative_passages.text: find $\sum_{k=0}^{t}(-1)^k\binom{t}{k}^2$ for odd t then for even t
negative_passages.docid: 17492
negative_passages.text: Recurrence telescoping $T(n) = T(n-1) + 1/n$ and $T(n) = T(n-1) + \log n$
negative_passages.docid: 19868
negative_passages.text: Evaluate: $ \sum _ {k=1}^{n}{\frac{k}{n}\binom{n}{k}t^k(1-t)^{n-k}}$
negative_passages.docid: 78632
negative_passages.text: Summation equation for $2^{x-1}$
negative_passages.docid: 115236
negative_passages.text: Calculate the sum of inverse values of ${n\choose 0}, {n\choose 1}, ... {n\choose n}$