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Square Number

Basic definition

A square number is an integer that is the square (i.e., second power) of another integer.

Detailed definition

A square number, also called a perfect square, is a figurate number of the form S_n = n^2, where n is an integer. The square numbers for n = 0, 1, ... are 0, 1, 4, 9, 16, 25, 36, 49, ... (OEIS A000290).
A plot of the first few square numbers represented as a sequence of binary bits is shown above. The top portion shows S_1 to S_255, and the bottom shows the next 510 values.
The generating function giving the square numbers is
(x(x + 1))/(1 - x)^3 = x + 4x^2 + 9x^3 + 16x^4 + ....

Educational grade level

middle school level (California grade 7 standard)

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What Is Domain In Math

What Is Domain In Math ‘

What Is Domain In Math

What Is Domain In Math ‘

Volume of a Sphere

Volume of a Sphere ‘

Area of a Triangle

Area of a Triangle ‘

Distance Formula

Distance Formula ‘

Distance Formula

Distance Formula ‘

Volume of a Cylinder

Volume of a Cylinder ‘

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