On Some Properties of Two Simultaneous Polygonal Sequences
Joseph C. Su
P. O. Box 710
Alhambra, CA 91802
This paper focuses on the properties of integers that are
simultaneously representable as both m-gonal and n-gonal numbers.
Employing hyperbolic geometry, we ascertain both lower and upper bounds
on these numbers when there is a finite set of these integers. We then
consider the fundamental class of solutions to a generalized
Pell-Diophantine equation that relates to these integers, and derive a
fast algorithm that can be used to generate them.
Full version: pdf,
(Concerned with sequences
Received July 25 2007;
revised version received December 30 2007.
Published in Journal of Integer Sequences, December 30 2007.
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