The Name of a Special Matrix Whose Entries $A_{ij} = j^i$

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I heard that the matrix A whose entries $A_{ij} = j^i$
is a special one and has a name. Could you please help with its name?

Below is an example of a 4x4 matrix of this special type: \begin{bmatrix} 1 & 2 & 3 & 4 \\ 1 & 4 & 9 & 16 \\ 1 & 8 & 27 & 64\\1 & 16 & 81 & 256\\ \end{bmatrix}