Geodesic
Computer-free Evaluation of an Infinite Double Sum via Euler Sums
Séminaire lotharingien de combinatoire, Tome 55 (2005-2007)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

A short and computer-free proof (using Euler sums and multiple zeta functions) is provided for a double sum that was recently computed by Pemantle and Schneider using the computer software Sigma. 

@article{SLC_2005-2007_55_a0,
     author = {Alois Panholzer and Helmut Prodinger},
     title = {Computer-free {Evaluation} of an {Infinite} {Double} {Sum} via {Euler} {Sums}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {55},
     year = {2005-2007},
     url = {http://geodesic.mathdoc.fr/item/SLC_2005-2007_55_a0/}
}
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Alois Panholzer; Helmut Prodinger. Computer-free Evaluation of an Infinite Double Sum via Euler Sums. Séminaire lotharingien de combinatoire, Tome 55 (2005-2007). http://geodesic.mathdoc.fr/item/SLC_2005-2007_55_a0/