Category:Generalized Pentagonal Numbers

From ProofWiki
Jump to: navigation, search

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.