Geodesic
A note on the generating function for the Stirling numbers of the first kind
Journal of integer sequences, Tome 18 (2015) no. 3
In this short note, we present a simple constructive proof for the generating function for the unsigned Stirling numbers of the first kind using the equidistribution of pilots and cycles of permutations.
Classification : 05A05
Keywords: permutation, pilot, Stirling number of the first kind 
@article{JIS_2015__18_3_a3,
     author = {Chen,  Ricky X.F.},
     title = {A note on the generating function for the {Stirling} numbers of the first kind},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {3},
     zbl = {1309.05006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a3/}
}
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Chen,  Ricky X.F. A note on the generating function for the Stirling numbers of the first kind. Journal of integer sequences, Tome 18 (2015) no. 3. http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a3/