Formula:8490

Digital Library of Mathematical Functions ID 26.5.E2

${\displaystyle{\displaystyle\sum_{n=0}^{\infty}C\left(n\right)x^{n}=\frac{1-\sqrt{1-4x}}{2x},}}$

Constraint(s)

${\displaystyle{\displaystyle|x|<\tfrac{1}{4}}}$

Symbols List

• ${\displaystyle{\displaystyle C\left(\NVar{n}\right)}}$: Catalan number
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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