Geodesic
An identity conjectured by Lacasse via the tree function
The electronic journal of combinatorics, Tome 20 (2013) no. 3
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A. Lacasse conjectured a combinatorial identity in his study of learning theory. Various people found independent proofs. Here is another one that is based on the study of the tree function, with links to Lamberts $W$-function and Ramanujan's $Q$-function. It is particularly short.
DOI : 10.37236/3309
Classification : 05A15, 05A19
Mots-clés : tree function, enumeration 
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     author = {Helmut Prodinger},
     title = {An identity conjectured by {Lacasse} via the tree function},
     journal = {The electronic journal of combinatorics},
     year = {2013},
     volume = {20},
     number = {3},
     doi = {10.37236/3309},
     zbl = {1295.05037},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/3309/}
}
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Helmut Prodinger. An identity conjectured by Lacasse via the tree function. The electronic journal of combinatorics, Tome 20 (2013) no. 3. doi: 10.37236/3309

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