Geodesic
Combinatorial interpretation of generalized Stirling numbers
Journal of integer sequences, Tome 12 (2009) no. 3
A combinatorial interpretation of the earlier studied generalized Stirling numbers, emerging in a normal ordering problem and its inversion, is given. It involves unordered forests of certain types of labeled trees. Partition number arrays related to such forests are also presented.
Classification : 05A15, 05A17, 05C05
Keywords: increasing trees, enumeration, partition number arrays 
@article{JIS_2009__12_3_a5,
     author = {Lang,  Wolfdieter},
     title = {Combinatorial interpretation of generalized {Stirling} numbers},
     journal = {Journal of integer sequences},
     year = {2009},
     volume = {12},
     number = {3},
     zbl = {1165.05307},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a5/}
}
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%J Journal of integer sequences
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Lang,  Wolfdieter. Combinatorial interpretation of generalized Stirling numbers. Journal of integer sequences, Tome 12 (2009) no. 3. http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a5/