Squares from odd numbers

You are given a natural number $n$. Print the squares of the numbers from $1$ to $n$, building them by adding odd numbers:

$k^2 = 1 + 3 + 5 + \ldots + (2k - 1)$

That is, $1 = 1$, $4 = 1 + 3$, $9 = 1 + 3 + 5$, and so on.

A single integer $n$ ($1 \le n \le 1000$).

A single line with $n$ numbers: $1^2, 2^2, \ldots, n^2$.

On each step add the next odd number to the previous square: on step $k$ it is $2k - 1$. No multiplication is needed — a loop and one running sum are enough.