Fungrim home page

Fungrim entry: 8dff72

π=2n=0atan ⁣(1n2+n+1)\pi = 2 \sum_{n=0}^{\infty} \operatorname{atan}\!\left(\frac{1}{{n}^{2} + n + 1}\right)
\pi = 2 \sum_{n=0}^{\infty} \operatorname{atan}\!\left(\frac{1}{{n}^{2} + n + 1}\right)
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Sumnf(n)\sum_{n} f(n) Sum
Atanatan(z)\operatorname{atan}(z) Inverse tangent
Powab{a}^{b} Power
Infinity\infty Positive infinity
Source code for this entry:
    Formula(Equal(Pi, Mul(2, Sum(Atan(Div(1, Add(Add(Pow(n, 2), n), 1))), For(n, 0, Infinity))))))

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