Which of the following sequences are \(\Delta^k\)-constant for some value of \(k\text{?}\)
\(2, 3, 7, 14, 24, 37,\ldots\text{.}\)
\(1, 8, 27, 64, 125, 216, \ldots\text{.}\)
\(1,2,4,8,16,32,64,\ldots\text{.}\)