Geodesic
On certain sums of Stirling numbers with binomial coefficients
Journal of integer sequences, Tome 18 (2015) no. 9
We study two sums involving the Stirling numbers and binomial coefficients. We find their closed forms, and discuss the connection between these sums.
Classification : 11B73, 11B65, 05A10
Keywords: Stirling number of first kind, Stirling number of second kind, binomial coefficient 
@article{JIS_2015__18_9_a7,
     author = {Gould,  H.W. and Kwong,  Harris and Quaintance,  Jocelyn},
     title = {On certain sums of {Stirling} numbers with binomial coefficients},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {9},
     zbl = {1394.11017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_9_a7/}
}
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Gould,  H.W.; Kwong,  Harris; Quaintance,  Jocelyn. On certain sums of Stirling numbers with binomial coefficients. Journal of integer sequences, Tome 18 (2015) no. 9. http://geodesic.mathdoc.fr/item/JIS_2015__18_9_a7/