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arxiv: 1003.2907 · v2 · submitted 2010-03-15 · 🧮 math.CA · math.CO

On the coefficients of the asymptotic expansion of n!

classification 🧮 math.CA math.CO
keywords asymptoticcoefficientsexpansionexplicitformulaapplyingbasicbrassesco
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Applying a theorem of Howard for a formula recently proved by Brassesco and M\'endez, we derive new simple explicit formulas for the coefficients of the asymptotic expansion to the sequence of factorials. To our knowledge no explicit formula containing only the four basic operations was known until now.

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