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.

A square number is also often referred to as a perfect square, but this could cause confusion with the concept of perfect number, so its use is discouraged on.

In fact it is prime.mover's opinion that perfect square is so utterly bletheringly pointlessly stupid that he has difficulty wondering whether it's worth carrying on sharing a universe with the utter imbeciles who continue to think it's worthwhile to try and defend its use.

This usage may in fact be regional.

Also see

 * Equivalence of Definitions of Square Number


 * Odd Number Theorem which shows that $\ds n^2 = \sum_{j \mathop = 1}^n \paren {2 j - 1}$


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


 * Definition:Cube Number


 * Definition:Square