Fungrim home page

Fungrim entry: f78fa0

π=3(92n=01(2nn)6)\pi = \sqrt{3} \left(\frac{9}{2} \sum_{n=0}^{\infty} \frac{1}{{2 n \choose n}} - 6\right)
\pi = \sqrt{3} \left(\frac{9}{2} \sum_{n=0}^{\infty} \frac{1}{{2 n \choose n}} - 6\right)
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Sqrtz\sqrt{z} Principal square root
Sumnf(n)\sum_{n} f(n) Sum
Binomial(nk){n \choose k} Binomial coefficient
Infinity\infty Positive infinity
Source code for this entry:
    Formula(Equal(Pi, Mul(Sqrt(3), Sub(Mul(Div(9, 2), Sum(Div(1, Binomial(Mul(2, n), n)), For(n, 0, Infinity))), 6)))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC