Geodesic
Handshakes across a (round) table
Journal of integer sequences, Tome 13 (2010) no. 2
We establish an explicit formula for the number of chord diagrams on $2n$ points with $k$ short chords and compute the expected number of short chords in a chord diagram.
Classification : 05A15, 05A10, 05A19
Keywords: chord diagram, Catalan numbers, narayana numbers, Dyck path 
@article{JIS_2010__13_2_a0,
     author = {Do\v{s}li\'c,  Tomislav},
     title = {Handshakes across a (round) table},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {2},
     zbl = {1228.05031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_2_a0/}
}
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%J Journal of integer sequences
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Došlić,  Tomislav. Handshakes across a (round) table. Journal of integer sequences, Tome 13 (2010) no. 2. http://geodesic.mathdoc.fr/item/JIS_2010__13_2_a0/