Formula:8478

Digital Library of Mathematical Functions ID 26.3.E12

${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{2n}{n}\sim\frac{4^{n}}{\sqrt{\pi n}},}}$

Constraint(s)

${\displaystyle{\displaystyle n\to\infty}}$

Symbols List

• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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