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On the coefficients of the asymptotic expansion of n!

Gergő Nemes

Published 2010-03-15, updated 2010-03-31Version 2

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.

Comments: 5 pages
Journal: J. Integer Seq., Volume 13, Issue 6, 2010
Categories: math.CA, math.CO
Subjects: 11B65, 11B73, 41A60
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