Unimodality of certain sequences connected with binomial coefficients
Journal of integer sequences, Tome 10 (2007) no. 2
This paper is devoted to the study of certain unimodal sequences related to binomial coefficients. Although the paramount purpose is to prove unimodality, in a few cases we even determine the maxima of the sequences. Our new results generalize some earlier theorems on unimodality. The proof techniques are quite varied.
Classification :
11B65, 05A10, 11B39
Keywords: binomial coefficients, unimodality, log-concavity, linear recurrences
Keywords: binomial coefficients, unimodality, log-concavity, linear recurrences
@article{JIS_2007__10_2_a2,
author = {Belbachir, Hac\'ene and Bencherif, Farid and Szalay, L\'aszl\'o},
title = {Unimodality of certain sequences connected with binomial coefficients},
journal = {Journal of integer sequences},
year = {2007},
volume = {10},
number = {2},
zbl = {1118.11010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_2_a2/}
}
TY - JOUR AU - Belbachir, Hacéne AU - Bencherif, Farid AU - Szalay, László TI - Unimodality of certain sequences connected with binomial coefficients JO - Journal of integer sequences PY - 2007 VL - 10 IS - 2 UR - http://geodesic.mathdoc.fr/item/JIS_2007__10_2_a2/ LA - en ID - JIS_2007__10_2_a2 ER -
Belbachir, Hacéne; Bencherif, Farid; Szalay, László. Unimodality of certain sequences connected with binomial coefficients. Journal of integer sequences, Tome 10 (2007) no. 2. http://geodesic.mathdoc.fr/item/JIS_2007__10_2_a2/