Formula:8493

Digital Library of Mathematical Functions ID 26.5.E5

${\displaystyle{\displaystyle C\left(n+1\right)=\sum_{k=0}^{\left\lfloor n/2\right\rfloor}\genfrac{(}{)}{0.0pt}{}{n}{2k}2^{n-2k}C\left(k\right).}}$

Symbols List

• ${\displaystyle{\displaystyle C\left(\NVar{n}\right)}}$: Catalan number
• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}$:
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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