Formula:8151

Digital Library of Mathematical Functions ID 24.5.E6

${\displaystyle{\displaystyle\sum_{k=2}^{n}{n\choose k-2}\frac{B_{k}}{k}=\frac{1}{(n+1)(n+2)}-B_{n+1},}}$

Constraint(s)

${\displaystyle{\displaystyle n=2,3,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle k}}$: integer
• ${\displaystyle{\displaystyle n}}$: integer
 

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