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Pyramidal number

 
Wikipedia: Pyramidal number

A pyramidal number is a figurate number that represents a pyramid with a base and a given number of sides. The term is most often used to refer to square pyramidal numbers, which have four sides, but it can also refer to:

The formula for a r-gonal pyramid number is:

X= \frac{n^2}{2} + n^3\left(\frac{r}{6}-\frac{1}{3}\right) - n\left(\frac{r-5}{6}\right)

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