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What is the inverse of a triangular matrix whose nonzero elements are binomial coefficients?...

This may answer the question, the sequence is the only implicit thing. I consider $Q=\begin{pmatrix}Q_{i,j}\end{pmatrix}_{n\times n}$ for $n\ge 3$, where $$Q_{i,j}= \begin{cases} \dbinom{j}{i-1}, & 1\ …
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