On The Log-Concavity of Polygonal Figurate Number Sequences

Abstract

This paper presents the log-concavity of the $m$-gonal figurate number sequences. The author gives and proves the recurrence formula for $m$-gonal figurate number sequences and its corresponding quotient sequences which are found to be bounded. Finally, the author also show that for $m\ge 3$, the sequence $\{S_n(m){\}}_{n\ge 1}$ of $m$-gonal figurate numbers is a log-concave.

8 pages

References in corpus (1)

• Log-concavity and LC-positivity