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NUMBERS THAT ARE SIMULTANEOUSLY CENTERED POLYGONAL
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AI
DOI：10.4134/jkms.j250282.png)
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Abstract
En 中文
Two notable classes of figurate numbers are those of polygonal numbers P lambda(n), and centered polygonal numbers C lambda(n), where lambda is the number of sides and n is the position in the sequence. A few years ago, numbers that are simultaneously polygonal concerning two different configurations (i.e., with a different number of sides) were characterized. Similarly, more recently, numbers that are both polygonal and centered polygonal have also been studied. In this article, we characterize the numbers that are simultaneously centered polygonal concerning two distinct configurations. Moreover, solving for certain families of Diophantine equations, we will provide a method for determining explicit examples of numbers that are simultaneously centered.
Keywords:
Figurate numbers
centered-polygonal numbers
Diophantine problems
generalized Pell equations
Journal
J
IF:
0.5
Papers:
40
Citations:
0