Timeline for Values of the determinants $\det[|j-k|]_{1\le j,k\le n}$ and $\det[|j^2-k^2|]_{1\le j,k\le n}$
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| Aug 28, 2021 at 22:15 | comment | added | Zhi-Wei Sun | My formula with Bao-Xuan Zhu is correct, with no sign wrong. We had a proof when I wrote the comment yesterday. When $x_j=j$ for $j=1,\ldots,n$ it yields the identity $(1)$. In contrast, your modified version is wrong, you can see this if you take $x_j=j$ for $j=1,\ldots,n$. | |
| Aug 28, 2021 at 19:13 | history | answered | T. Amdeberhan | CC BY-SA 4.0 |