Formula:3287

Digital Library of Mathematical Functions ID 8.11.E16

${\displaystyle{\displaystyle S_{n}(1)-\frac{1}{2}\frac{n!e^{n}}{n^{n}}\sim-\tfrac{2}{3}+\tfrac{4}{135}n^{-1}-\tfrac{8}{2835}n^{-2}-\tfrac{16}{8505}n^{-3}+\dots,}}$

Symbols List

• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle S_{n}(x)}}$: function (locally)
 

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