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### Do you recognize this sequence of polynomials?

The recurrence $f_{n+1} = (t-2)f_n - f_{n-1}$ with $f_0=1$ and $f_1=t-1$ suggests that $f_n$ can be expressed in terms of Chebyshev polynomials as: \begin{split} f_n(t) &= T_n(\tfrac{t}2-1) + \...
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