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We investigate the size of the largest entry (in absolute value) in theinverse of certain Vandermonde matrices. More precisely, for every real $b >1$, let $M_b(n)$ be the maximum of the absolute values of the entries of theinverse of the $n \times n$ matrix $[b^{i j}]_{0 \leq i, j < n}$. We prove that$\lim_{n \to +\infty} M_b(n)$ exists, and we provide some formulas for it.

The Largest Entry in the Inverse of a Vandermonde Matrix