Tridiagonal determinant recurrence
= Tridiagonal determinant recurrence
For diagonal entries $a_i$, superdiagonal entries $b_i$, and subdiagonal entries $c_i$, the leading principal determinants satisfy
$$
d_n=a_nd_{n-1}-b_{n-1}c_{n-1}d_{n-2},
\qquad d_0=1,\quad d_1=a_1.
$$