TeX:
\pi = \sum_{n=1}^{\infty} \frac{\left({3}^{n} - 1\right) \zeta\!\left(n + 1\right)}{{4}^{n}}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Pi | The constant pi (3.14...) | |
| Sum | Sum | |
| Pow | Power | |
| RiemannZeta | Riemann zeta function | |
| Infinity | Positive infinity |
Source code for this entry:
Entry(ID("a2e6f9"),
Formula(Equal(Pi, Sum(Div(Mul(Sub(Pow(3, n), 1), RiemannZeta(Add(n, 1))), Pow(4, n)), For(n, 1, Infinity)))))