Formula:2637

Digital Library of Mathematical Functions ID 5.7.E2

${\displaystyle{\displaystyle(k-1)c_{k}=\gamma c_{k-1}-\zeta\left(2\right)c_{k-2}+\zeta\left(3\right)c_{k-3}-\dots+(-1)^{k}\zeta\left(k-1\right)c_{1},}}$

Constraint(s)

${\displaystyle{\displaystyle k\geq 3}}$

Symbols List

• ${\displaystyle{\displaystyle\gamma}}$: Euler’s constant
• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle c_{k}}}$: coefficient
 

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