[m]\begin {vmatrix} C^{0}_{1}&C^{1}_{1}\\C^{1}_{1}&C^{0}_{1}\end {vmatrix}=\begin {vmatrix} 1&1\\1&1\end {vmatrix}=1\cdot 1-1\cdot 1=0[/m]
n=2
[m]\begin {vmatrix} C^{0}_{2}&C^{1}_{2}&C^{2}_{2}\\C^{2}_{2}&C^{0}_{2}&C^{1}_{2}\\C^{1}_{2}&C^{2}_{2}&C^{0}_{2}\end {vmatrix}=\begin {vmatrix} 1&2&1\\1&1&2\\2&1&1\end {vmatrix}=1\cdot 1\cdot 1+2\cdot 2\cdot 2+1\cdot 1\cdot 1-2\cdot 1\cdot 1-1\cdot 2\cdot 1-1\cdot 2\cdot 1=4[/m]
n=3
[m]\begin {vmatrix} C^{0}_{3}&C^{1}_{3}&C^{2}_{3}&C^{3}_{3}\\C^{3}_{3}&C^{0}_{3}&C^{1}_{3}&C^{2}_{3}\\C^{2}_{3}&C^{3}_{3}&C^{0}_{3}&C^{1}_{3}\\C^{1}_{3}&C^{2}_{3}&C^{3}_{3}&C^{0}_{3}\end {vmatrix}=\begin {vmatrix} 1&3&3&1\\1&1&3&3\\3&1&1&3\\3&3&1&1\end {vmatrix}=[/m]