Definition:Square Pyramidal Number

Definition
Square pyramidal numbers are those denumerating a collection of objects which can be arranged in the form of a square pyramid.

The $n$th square pyramidal number $P_n$ is defined as:
 * $\ds P_n = \sum_{k \mathop = 1}^n S_k$

where $S_k$ is the $k$th square number.

Also known as
A square pyramidal number is also known by the more unwieldy term square-based pyramidal number.

Also see

 * Closed Form for Square Pyramidal Numbers


 * Definition:Pyramidal Number
 * Definition:Tetrahedral Number