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Fungrim entry: 69fe63

π=2k=14k24k21\pi = 2 \prod_{k=1}^{\infty} \frac{4 {k}^{2}}{4 {k}^{2} - 1}
TeX:
\pi = 2 \prod_{k=1}^{\infty} \frac{4 {k}^{2}}{4 {k}^{2} - 1}
Definitions:
Fungrim symbol Notation Short description
ConstPiπ\pi The constant pi (3.14...)
Productnf(n)\prod_{n} f(n) Product
Powab{a}^{b} Power
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("69fe63"),
    Formula(Equal(ConstPi, Mul(2, Product(Div(Mul(4, Pow(k, 2)), Sub(Mul(4, Pow(k, 2)), 1)), For(k, 1, Infinity))))))

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

2019-10-05 13:11:19.856591 UTC