Geodesic
Unimodal rays in the ordinary and generalized Pascal triangles
Journal of integer sequences, Tome 11 (2008) no. 2
The present paper provides the solution of two problems recently posed by Bencherif, Belbachir and Szalay. For example, they conjectured that any sequence of binomial coefficients lying along a ray in Pascal's triangle is unimodal.
Classification : 11B65, 05A10, 11B39
Keywords: unimodality, log-concavity, generalized binomial coefficients, generalized fi- bonacci numbers 
@article{JIS_2008__11_2_a7,
     author = {Belbachir,  Hac\`ene and Szalay,  L\'aszl\'o},
     title = {Unimodal rays in the ordinary and generalized {Pascal} triangles},
     journal = {Journal of integer sequences},
     year = {2008},
     volume = {11},
     number = {2},
     zbl = {1247.11021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a7/}
}
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Belbachir,  Hacène; Szalay,  László. Unimodal rays in the ordinary and generalized Pascal triangles. Journal of integer sequences, Tome 11 (2008) no. 2. http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a7/