Geodesic
Apéry's double sum is plain sailing indeed
The electronic journal of combinatorics, Tome 14 (2007)

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Zbl EuDML
We demonstrate that also the second sum involved in Apéry's proof of the irrationality of $\zeta(3)$ becomes trivial by symbolic summation.
DOI : 10.37236/1006
Classification : 68W30, 33F10 
Carsten Schneider. Apéry's double sum is plain sailing indeed. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/1006
@article{10_37236_1006,
     author = {Carsten Schneider},
     title = {Ap\'ery's double sum is plain sailing indeed},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/1006},
     zbl = {1171.68052},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1006/}
}
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