Formula:8508

Digital Library of Mathematical Functions ID 26.6.E13

${\displaystyle{\displaystyle M(n)=\sum_{k=0}^{n}(-1)^{k}\genfrac{(}{)}{0.0pt}{}{n}{k}C\left(n+1-k\right),}}$

Symbols List

• ${\displaystyle{\displaystyle C\left(\NVar{n}\right)}}$: Catalan number
• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle M(n)}}$: Motzkin number (locally)
 

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