Exercise 3.
Use polynomial fitting to find the formula for the \(n\)th term of the sequence \((a_n)_{n \ge 0}\) which starts,
\begin{equation*}
2,5,11,21,36, \ldots
\text{.}
\end{equation*}
Use polynomial fitting to find the formula for the \(n\)th term of the sequence \((a_n)_{n \ge 0}\) which starts,