Determinant of matrix with $A_{ij} = \min (i, j)$
You can substract the $j$-th column to the $(j+1)$-th one. This will leave you with a lower-triangular matrix of all ones.
You can substract the $j$-th column to the $(j+1)$-th one. This will leave you with a lower-triangular matrix of all ones.