Geodesic
Fermat numbers in multinomial coefficients
Journal of integer sequences, Tome 17 (2014) no. 3
In 2001 Luca proved that no Fermat number can be a nontrivial binomial coefficient. We extend this result to multinomial coefficients.
Classification : 11D61, 11D72, 05A10
Keywords: Fermat number, multinomial coefficient 
@article{JIS_2014__17_3_a7,
     author = {Chern,  Shane},
     title = {Fermat numbers in multinomial coefficients},
     journal = {Journal of integer sequences},
     year = {2014},
     volume = {17},
     number = {3},
     zbl = {1353.11063},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_3_a7/}
}
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Chern,  Shane. Fermat numbers in multinomial coefficients. Journal of integer sequences, Tome 17 (2014) no. 3. http://geodesic.mathdoc.fr/item/JIS_2014__17_3_a7/