Definition:Square Number

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

They can be denoted:
 * $S_1, S_2, S_3, \ldots$

Also known as
A square number is often referred to as a square.

For emphasis, a square number is sometimes referred to as a perfect square, but this could cause confusion with the concept of perfect number, so its use is discouraged.

Also see

 * Equivalence of Definitions of Square Number


 * Odd Number Theorem which shows that $\displaystyle n^2 = \sum_{j \mathop = 1}^n \left({2 j - 1}\right)$


 * Definition:Polygonal Number:
 * Definition:Triangular Number
 * Definition:Pentagonal Number
 * Definition:Hexagonal Number