Unimodal rays in the ordinary and generalized Pascal triangles
Journal of integer sequences, Tome 11 (2008) no. 2.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a7/}
}
TY  - JOUR
AU  - Belbachir, Hacène
AU  - Szalay, László
TI  - Unimodal rays in the ordinary and generalized Pascal triangles
JO  - Journal of integer sequences
PY  - 2008
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a7/
LA  - en
ID  - JIS_2008__11_2_a7
ER  - 
%0 Journal Article
%A Belbachir, Hacène
%A Szalay, László
%T Unimodal rays in the ordinary and generalized Pascal triangles
%J Journal of integer sequences
%D 2008
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a7/
%G en
%F JIS_2008__11_2_a7
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/