Sum of the Reciprocals of Polygonal Numbers (Solved)

Summary: Let $r \ge 5$ be fixed. The problem asks for the proof of a formula for the sum of reciprocals of the $r$-sided polygonal numbers. The $r=5$ case was recently proposed as a problem in the Pi Mu Epsilon Journal.

Classification: Primary, Classical Analysis; Secondary, Sequences and Series

Hongwei Chen
Department of Mathematics
Christopher Newport University
Newport News, VA 23606
e-mail: hchen@cnu.edu
phone: 757-594-7361
fax: 757-594-7176

G. C. Greubel
309 Marlboro Road
Newport News, VA 23602-6419
e-mail: jthomae@gmail.com
phone: 757-877-4546

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