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Fungrim entry: 93831d

π=∑n=0∞2n+1(n!)2(2n+1)!\pi = \sum_{n=0}^{\infty} \frac{{2}^{n + 1} {\left(n !\right)}^{2}}{\left(2 n + 1\right)!}
TeX:
\pi = \sum_{n=0}^{\infty} \frac{{2}^{n + 1} {\left(n !\right)}^{2}}{\left(2 n + 1\right)!}
Definitions:
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Sum∑nf(n)\sum_{n} f(n) Sum
Powab{a}^{b} Power
Factorialn!n ! Factorial
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("93831d"),
    Formula(Equal(Pi, Sum(Div(Mul(Pow(2, Add(n, 1)), Pow(Factorial(n), 2)), Factorial(Add(Mul(2, n), 1))), For(n, 0, Infinity)))))

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2021-03-15 19:12:00.328586 UTC