= Centered polygonal number
{wiki=Centered_polygonal_number}
Centered polygonal numbers are a class of figurate numbers that represent a specific arrangement of points that form a polygon with an additional central point. The shape can be thought of as a polygon (such as a triangle, square, pentagon, etc.) with a point in the center and successive layers of points surrounding that central point. The \\(n\\)-th centered \\(k\\)-gonal number represents the number of dots that can be arranged in a centered \\(k\\)-gonal shape.
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