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Fungrim entry: 419b45

π=n=0n!(2n+1)!!\pi = \sum_{n=0}^{\infty} \frac{n !}{\left(2 n + 1\right)!!}
TeX:
\pi = \sum_{n=0}^{\infty} \frac{n !}{\left(2 n + 1\right)!!}
Definitions:
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Sumnf(n)\sum_{n} f(n) Sum
Factorialn!n ! Factorial
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("419b45"),
    Formula(Equal(Pi, Sum(Div(Factorial(n), DoubleFactorial(Add(Mul(2, n), 1))), For(n, 0, Infinity)))))

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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