Observe the rule of a group of numbers 0, 3, 8, 15, 24. The number 2009 is? The number n is? Its term is?

Observe the rule of a group of numbers 0, 3, 8, 15, 24. The number 2009 is? The number n is? Its term is?

0=1^2-1
3=2^2-1
8=3^2-1
15=4^2-1
.
The number 2009 is:
2009^2-1=4036080
The nth number is: n ^ 2-1