Saturday, March 16, 2013

The Math Blog: Centered Square Numbers

The Math Blog is back with centered square numbers!

In elementary number theory, a centered square number is like a number with a dot in a middle, then making dots around it making rotated squares of side length adding 2 every time. Wikipedia provides a useful diagram at this link.

Centered square numbers are represented like this: C4, n.

The formula for finding a the nth centered square number is:

Bye!C_{4,n} = {(2n-1)^2 + 1 \over 2};

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