The ratio log-concavity of the Cohen numbers

Abstract Let U n $U_{n}$ denote the nth Cohen number. Some combinatorial properties for U n $U_{n}$ have been discovered. In this paper, we prove the ratio log-concavity of U n $U_{n}$ by establishing the lower and upper bounds for U n U n − 1 $\frac{U_{n}}{U_{n-1}}$ .

Bibliographic Details
Main Authors: Eric H Liu, Lily J Jin
Format: Article
Language:English
Published: SpringerOpen 2016-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1217-7