query: Continued fraction expansion of Pi (oeis A001203).
positive_passages.docid: 29517
positive_passages.text: How to find continued fraction of pi
negative_passages.docid: 26154
negative_passages.text: Motivation for Ramanujan's mysterious $\pi$ formula
negative_passages.docid: 24068
negative_passages.text: Plus-minus sign in the continued fraction
negative_passages.docid: 94871
negative_passages.text: Sum of an unorthodox infinite series
negative_passages.docid: 54296
negative_passages.text: How can I write Mathematica code for this continued fraction with alternating terms?
negative_passages.docid: 109599
negative_passages.text: A finite sum involving the binomial coefficients and the harmonic numbers
negative_passages.docid: 13592
negative_passages.text: How can $\pi$ be irrational if it can be calculated using an infinite series of rational numbers?
negative_passages.docid: 63960
negative_passages.text: proving "e" irrational using convergent series
negative_passages.docid: 11391
negative_passages.text: Series that converge to $\pi$ quickly
negative_passages.docid: 43659
negative_passages.text: Why is $\pi$ so close to $3$?
negative_passages.docid: 83290
negative_passages.text: How is the value of $\pi$ ( Pi ) actually calculated?
negative_passages.docid: 67502
negative_passages.text: Sum of reciprocal prime numbers
negative_passages.docid: 109900
negative_passages.text: Why is $e^{\pi \sqrt{163}}$ almost an integer?
negative_passages.docid: 71681
negative_passages.text: Asymptotic expansion of $u_{n + 1} = \frac12 \arctan(u_n)$
negative_passages.docid: 144655
negative_passages.text: Expanding with fractional powers
negative_passages.docid: 19633
negative_passages.text: Closed form for a pair of continued fractions
negative_passages.docid: 30045
negative_passages.text: Solving linear congruences by hand: modular fractions and inverses