TeX:
\pi = \sqrt{3} \left(\frac{9}{2} \sum_{n=1}^{\infty} \frac{n}{{2 n \choose n}} - 3\right)
Definitions:
Fungrim symbol | Notation | Short description |
---|---|---|
Pi | The constant pi (3.14...) | |
Sqrt | Principal square root | |
Sum | Sum | |
Binomial | Binomial coefficient | |
Infinity | Positive infinity |
Source code for this entry:
Entry(ID("dbdf08"), Formula(Equal(Pi, Mul(Sqrt(3), Sub(Mul(Div(9, 2), Sum(Div(n, Binomial(Mul(2, n), n)), For(n, 1, Infinity))), 3)))))