# Category:Generalized Pentagonal Numbers

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This category contains results about Generalized Pentagonal Numbers.

Definitions specific to this category can be found in Definitions/Generalized Pentagonal Numbers.

The **generalized pentagonal numbers** are the integers obtained from the formula:

- $GP_n = \begin{cases} \dfrac {m \left({3 m + 1}\right)} 2 & : n = 2 m \\ \dfrac {m \left({3 m - 1}\right)} 2 & : n = 2 m - 1 \end{cases}$

for $n = 0, 1, 2, \ldots$

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Generalized Pentagonal Numbers"

The following 5 pages are in this category, out of 5 total.