#Swift, 76 bytes

import Foundation
for i in 1...9{print(Int(pow((pow(10,Double(i))-1)/9,2)))}

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If printing as an array of lines is allowed, here is 74 byte approach:

import Foundation
print((1...9).map{Int(pow((pow(10,Double($0))-1)/9,2))})

Try it online!

Swift, 76 bytes

import Foundation
for i in 1...9{print(Int(pow((pow(10,Double(i))-1)/9,2)))}

Try it online!

If printing as an array of lines is allowed, here is 74 byte approach:

import Foundation
print((1...9).map{Int(pow((pow(10,Double($0))-1)/9,2))})

Try it online!