Question 28
Write the sum
$$
\sum_{k=0}^{n} \frac{(-1)^{k}\binom{n}{k}}{k^{3}+9 k^{2}+26 k+24}
$$
in the form $\frac{p(n)}{q(n)}$, where $p$ and $q$ are polynomials with integer coefficients.
$$
\sum_{k=0}^{n} \frac{(-1)^{k}\binom{n}{k}}{k^{3}+9 k^{2}+26 k+24}
$$
in the form $\frac{p(n)}{q(n)}$, where $p$ and $q$ are polynomials with integer coefficients.