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4
votes
What is the inverse of a triangular matrix whose nonzero elements are binomial coefficients?...
Using the answer of @Toni, the sequence $u_k$ can be related to the Bernoulli numbers $B_k$ for $k\geq 0$,
\begin{align}\tag{1}
u_{k+1}= \frac{B_{k}}{k!}.
\end{align}
After some algebra, the inverse o …