Periodicity of the last digits of some combinatorial sequences
Journal of integer sequences, Tome 17 (2014) no. 1
In 1962 O. A. Gross proved that the last digits of the Fubini numbers (or surjective numbers) have a simple periodicity property. We extend this result to a wider class of combinatorial numbers coming from restricted set partitions.
Classification : 05A18, 11B73
Keywords: Stirling number, r-Stirling number, restricted Stirling number, associated restricted Stirling number, restricted partition, Fubini number, restricted Bell number, restricted factorial, associated Fubini number
@article{JIS_2014__17_1_a1,
     author = {Mez\H{o},  Istv\'an},
     title = {Periodicity of the last digits of some combinatorial sequences},
     journal = {Journal of integer sequences},
     year = {2014},
     volume = {17},
     number = {1},
     zbl = {1295.05050},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_1_a1/}
}
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Mező,  István. Periodicity of the last digits of some combinatorial sequences. Journal of integer sequences, Tome 17 (2014) no. 1. http://geodesic.mathdoc.fr/item/JIS_2014__17_1_a1/