Formula:962

Digital Library of Mathematical Functions ID 2.10.E4

${\displaystyle{\displaystyle S(n)=\tfrac{1}{2}n^{2}\ln n-\tfrac{1}{4}n^{2}+\tfrac{1}{2}n\ln n+\tfrac{1}{12}\ln n+C+\sum_{s=2}^{m-1}\frac{(-B_{2s})}{2s(2s-1)(2s-2)}\frac{1}{n^{2s-2}}+R_{m}(n),}}$

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle S(n)}}$: sum
• ${\displaystyle{\displaystyle C}}$: constant
• ${\displaystyle{\displaystyle R_{m}(n)}}$: remainder
 

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