What is the determinant of the 3×33 \times 33×3 Hilbert matrix HHH with Hij=1i+j−1H_{ij} = \frac{1}{i+j-1}Hij=i+j−11?
12160\frac{1}{2160}21601
112\frac{1}{12}121
16\frac{1}{6}61
0