Formula:8248

Digital Library of Mathematical Functions ID 24.14.E10

${\displaystyle{\displaystyle\sum\frac{(2n)!}{(2j)!(2k)!(2\ell)!(2m)!}B_{2j}B_{2k}B_{2\ell}B_{2m}=-{2n+3\choose 3}B_{2n}-\frac{4}{3}n^{2}(2n-1)B_{2n-2}.}}$

Symbols List

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

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