Geodesic
On the coefficients of the asymptotic expansion of \(n!\)
Journal of integer sequences, Tome 13 (2010) no. 6
Applying a theorem of Howard to a formula recently proved by Brassesco and Méndez, we derive new simple explicit formulas for the coefficients of the asymptotic expansion of the sequence of factorials.
Classification : 11B65, 11B73, 41A60
Keywords: asymptotic expansions, factorial, Stirling coefficients, Stirling's formula, Stirling numbers 
@article{JIS_2010__13_6_a7,
     author = {Nemes,  Gerg\H{o}},
     title = {On the coefficients of the asymptotic expansion of \(n!\)},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {6},
     zbl = {1216.11023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_6_a7/}
}
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Nemes,  Gergő. On the coefficients of the asymptotic expansion of \(n!\). Journal of integer sequences, Tome 13 (2010) no. 6. http://geodesic.mathdoc.fr/item/JIS_2010__13_6_a7/