# Changes

$\operatorname{sinc} x = 1 - \frac{x^2}{3!} + \frac{x^4}{5!} - \dots = \sum_{k=0}^\infty \frac{(-1)^kx^{2k}}{(2k + 1)!}$
Since this is a power series, it is also a Taylor series. Thus, the coefficient of $x^{2k}$ is $1/(2k)!$ times $\operatorname{sinc}^{(2k)}(0)$. We thus get: