The 2-adic Valuation of Stirling Numbers
Amdeberhan, Tewodros ; Manna, Dante ; Moll, Victor H.
Experiment. Math., Tome 17 (2008) no. 1, p. 69-82 / Harvested from Project Euclid
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We analyze properties of the 2-adic valuations of $S(n,k)$, the Stirling numbers of the second kind. For fixed $k \in \mathbb{N}$, a conjectured pattern for the valuation is provided in terms of the dyadic format of $n$. This conjecture is established for $k=5$.
Publié le : 2008-05-15
Classification:  valuations,  Stirling numbers,  11B50,  05A15 
@article{1227031898,
     author = {Amdeberhan, Tewodros and Manna, Dante and Moll, Victor H.},
     title = {The 2-adic Valuation of Stirling Numbers},
     journal = {Experiment. Math.},
     volume = {17},
     number = {1},
     year = {2008},
     pages = { 69-82},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1227031898}
}

Amdeberhan, Tewodros; Manna, Dante; Moll, Victor H. The 2-adic Valuation of Stirling Numbers. Experiment. Math., Tome 17 (2008) no. 1, pp.  69-82. http://gdmltest.u-ga.fr/item/1227031898/