%0 Journal Article
%T Log-Concavity of Centered Polygonal Figurate Number Sequences
%A Fekadu Tolessa Gedefa
%J Open Access Library Journal
%V 3
%N 6
%P 1-5
%@ 2333-9721
%D 2016
%I Open Access Library
%R 10.4236/oalib.1102774
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">This paper investigates the log-concavity of the centered <em>m</em>-gonal figurate number sequences. The author proves that for </span><strong style="line-height:1.5;"><em>m</em>¡Ý3</strong><span style="line-height:1.5;">, the sequence {</span><strong style="line-height:1.5;">C<sub><em>n</em></sub></strong><span style="line-height:1.5;">(</span><strong style="line-height:1.5;"><em>m</em></strong><span style="line-height:1.5;">)}</span><strong style="line-height:1.5;"><sub><em>n</em>¡Ý1</sub></strong><span style="line-height:1.5;"> &nbsp;of centered <em>m</em>-gonal figurate numbers is a log-concave.</span> 
</div>
%K Log-Concavity
%K Figurate Numbers
%K Centered Polygonal
%K Number Sequences
%U http://www.oalib.com/paper/5268578