Geodesic
When can the sum of \((1/p)\)th of the binomial coefficients have closed form
The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2
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We find all nonnegative integer $r,s,p$ for which the sum $\sum_{k=rn}^{sn}{pn\choose k}$ has closed form.
DOI : 10.37236/1336
Classification : 05A10
Mots-clés : binomial coefficients, sum 
@article{10_37236_1336,
     author = {Marko Petkov\v{s}ek and Herbert S. Wilf},
     title = {When can the sum of \((1/p)\)th of the binomial coefficients have closed form},
     journal = {The electronic journal of combinatorics},
     year = {1997},
     volume = {4},
     number = {2},
     doi = {10.37236/1336},
     zbl = {0884.05003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1336/}
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Marko Petkovšek; Herbert S. Wilf. When can the sum of \((1/p)\)th of the binomial coefficients have closed form. The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2. doi: 10.37236/1336

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